WO2000006969A1 - Finding shape deformations in objects with transformation parameters after registering - Google Patents
Finding shape deformations in objects with transformation parameters after registering Download PDFInfo
- Publication number
- WO2000006969A1 WO2000006969A1 PCT/US1999/016604 US9916604W WO0006969A1 WO 2000006969 A1 WO2000006969 A1 WO 2000006969A1 US 9916604 W US9916604 W US 9916604W WO 0006969 A1 WO0006969 A1 WO 0006969A1
- Authority
- WO
- WIPO (PCT)
- Prior art keywords
- image
- reference image
- patch
- registering
- estimator
- Prior art date
Links
- 230000009466 transformation Effects 0.000 title claims abstract description 42
- 238000003384 imaging method Methods 0.000 claims abstract description 24
- 238000005259 measurement Methods 0.000 claims abstract description 13
- 238000000034 method Methods 0.000 claims description 35
- 238000013519 translation Methods 0.000 claims description 21
- 230000014616 translation Effects 0.000 claims description 21
- 238000004590 computer program Methods 0.000 claims description 6
- 230000008569 process Effects 0.000 description 11
- 238000013507 mapping Methods 0.000 description 6
- 239000000523 sample Substances 0.000 description 4
- 238000012937 correction Methods 0.000 description 3
- 238000000354 decomposition reaction Methods 0.000 description 3
- 238000013461 design Methods 0.000 description 3
- 238000001514 detection method Methods 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 238000009472 formulation Methods 0.000 description 2
- 230000006870 function Effects 0.000 description 2
- 238000007689 inspection Methods 0.000 description 2
- 238000004519 manufacturing process Methods 0.000 description 2
- 239000000203 mixture Substances 0.000 description 2
- 230000000717 retained effect Effects 0.000 description 2
- 238000000844 transformation Methods 0.000 description 2
- 230000001131 transforming effect Effects 0.000 description 2
- 206010028980 Neoplasm Diseases 0.000 description 1
- 238000004458 analytical method Methods 0.000 description 1
- 230000005540 biological transmission Effects 0.000 description 1
- 210000004204 blood vessel Anatomy 0.000 description 1
- 210000000988 bone and bone Anatomy 0.000 description 1
- 238000013480 data collection Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000003745 diagnosis Methods 0.000 description 1
- 238000009429 electrical wiring Methods 0.000 description 1
- 230000005670 electromagnetic radiation Effects 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 239000000835 fiber Substances 0.000 description 1
- 230000005484 gravity Effects 0.000 description 1
- 238000002675 image-guided surgery Methods 0.000 description 1
- 230000004807 localization Effects 0.000 description 1
- 238000002595 magnetic resonance imaging Methods 0.000 description 1
- 239000011159 matrix material Substances 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000012545 processing Methods 0.000 description 1
- 230000008439 repair process Effects 0.000 description 1
- 230000004044 response Effects 0.000 description 1
- 210000000278 spinal cord Anatomy 0.000 description 1
- 230000004936 stimulating effect Effects 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
- 238000002604 ultrasonography Methods 0.000 description 1
- 238000012800 visualization Methods 0.000 description 1
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06V—IMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
- G06V30/00—Character recognition; Recognising digital ink; Document-oriented image-based pattern recognition
- G06V30/10—Character recognition
- G06V30/24—Character recognition characterised by the processing or recognition method
- G06V30/248—Character recognition characterised by the processing or recognition method involving plural approaches, e.g. verification by template match; Resolving confusion among similar patterns, e.g. "O" versus "Q"
- G06V30/2504—Coarse or fine approaches, e.g. resolution of ambiguities or multiscale approaches
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F01—MACHINES OR ENGINES IN GENERAL; ENGINE PLANTS IN GENERAL; STEAM ENGINES
- F01D—NON-POSITIVE DISPLACEMENT MACHINES OR ENGINES, e.g. STEAM TURBINES
- F01D21/00—Shutting-down of machines or engines, e.g. in emergency; Regulating, controlling, or safety means not otherwise provided for
- F01D21/003—Arrangements for testing or measuring
-
- G06T3/073—
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T7/00—Image analysis
- G06T7/30—Determination of transform parameters for the alignment of images, i.e. image registration
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T7/00—Image analysis
- G06T7/80—Analysis of captured images to determine intrinsic or extrinsic camera parameters, i.e. camera calibration
Definitions
- the present invention relates generally to a method and apparatus for finding shape deformations in objects having smooth surfaces and in particular, to a method and apparatus for finding shape deformations in airfoils by registering surface points on an airfoil to a computer assisted drawing (CAD) model and analyzing and displaying principal modes of surface deformation to a user.
- CAD computer assisted drawing
- deformities are defined to be deformations in the shape of an object as compared to its ideal shape.
- deformations are deviations in shape or form of an object from its manufacturing specifications.
- Shape deformation can occur in a variety of modes (referred to herein as deformation modes). Deformation modes include, but are not limited to, skew, twist, scaling and translation. Forged blades, such as those for aircraft engines, are currently inspected for platform orientation, contour cross- section, bow and twist along stacking axis, thickness and chord length at given cross-sections.
- One method of inspecting for shape deformations in these deformation modes is through the use of specialized hard gages built out from micro-meters, calipers, and shims.
- the hard gages measure a plurality of defined contact points to characterize the blade that is used to detect defects. While the inspection of using the hard gages is fast, the hard gages provide only individual measurements at a few defined contact points.
- blades can be fully scanned with coordinate measurement machines (commonly know as "CMMs") that translate and rotate a probe to sample points on the blade surface. CMMs provide dense measurements of the sample points, however the time to scan a blade is relatively slow. Once the dense surface points are collected, software processes these points into deviations to the CAD model and analyzes the deviations in terms of process- based shape deformations. Current processing software, however, is relatively slow.
- Full-field non-contact range sensors can scan the external surfaces of the blade at 100x faster than CMMs. These non-contact range sensors, however, are 100x less accurate than the CMMs.
- Full-field non-contact range sensors are currently commercially available and include sensors based on laser line grating and stereo triangulation; single laser line scan plus rotating the part; and on phased-shift Moire and white light.
- CAD/CAM software exists, such as ValiSys, a quality assurance software product available from Tecnomatix Technologies Inc., and UniGraphics SolutionsTM, which can register the surface points scanned by non-contact range sensors to a CAD model.
- the CAD/CAM software has disadvantages in that it does not allow registration to special features characteristic of the shape of an airfoil, such as a 6-point nest.
- the points of a six point nest are: 4 points on the leading edge of the airfoil, 1 point near trailing edge andl point on the platform.
- the 6-point nest is common in airfoil analysis, design and manufacturing because it weights more accuracy on the leading edge, which is critical for the desired airflow.
- the present invention is directed to an imaging apparatus for examining objects having smooth surfaces for shape deformations.
- the imaging apparatus includes an imaging device for obtaining a scanned image of the object to be examined.
- a reference image of the object is stored in a memory.
- An image register is coupled to the imaging device and to the memory containing the reference image of the object.
- the image register stores patch information corresponding to both the reference image and the scanned image.
- a transformation estimator compares the scanned image to the reference image, and provides a transform which maps the scanned image to the reference image.
- a deformation estimator is coupled to the image register and to the transformation estimator. The deformation estimator decomposes the transformation parameters, based on patch information stored in the image register to determine shape deformations of the object.
- Figure 1 is a block diagram of an apparatus for finding shape deformations according to one embodiment of the present invention
- Figure 2 is a flowchart of the method, embodying the present invention, of finding and displaying the deformation of an airfoil;
- Figure 3 is a flowchart of the method of registering scanned data points of the object and the CAD model
- Figure 4 is a diagrammatic view representative of the deviation between a planar patch of the CAD model and a planar surface of the object;
- Figure 5 is a diagrammatic view representative of the deviation between a curved patch of the CAD model and a curved surface of the object.
- Figure 6 is a diagrammatic view illustrative of the Rodrigues' formula. DETAILED DESCRIPTION OF THE INVENTION
- An image is defined herein to be a collection of data representing properties, design specifications, or attributes of an object.
- a data collection which represents the 3 spatial dimensions (x,y,z) of an object is an image of the object.
- scanned image 15 the stored measured data is referred to herein as scanned image 15.
- the data comprising a Computer Assisted Drawing (CAD) , or other engineering specifications in digitized format, relating to the shape of an object, are referred to herein as images of the object.
- CAD data comprising specifications for an object to which the object will be compared for purposes of flaw detection is referred to herein as a reference image.
- An arrangement of data representing an image is referred to herein as an array.
- Each element of an array is referred to herein as a pixel.
- a pixel represents a measurement or property at a given position on the surface of the object being measured.
- a pixel can represent measurements of the distance of the object from the measuring device.
- Mapping is the process of relating pixels in one image to pixels in another image.
- One method of mapping is accomplished by fitting a function to control point locations.
- Control points are features located in the scanned image whose location on the object and its images are known. Control points may be located both in the scanned image and in the reference image.
- a typical mapping process employs models to simplify the process.
- a model is a function which maps points in one image to points on a second image.
- a typical mapping technique defines a grid on the second image and maps only the grid points to the model. All other points are found by interpolation within the grid.
- a patch is defined to be a grid on the reference image which grid encompasses at least a portion of the surface of the imaged object. The dimensions of the patch depend on the order of the deformation model.
- Pose is defined to be the spatial orientation of an object with respect to a given viewpoint.
- Alignment is defined as orientation of a first object with respect to a second object so as to make at least one alignment parameter of the first object, such as planar position or angular orientation, substantially equal to the corresponding alignment parameter of the second object.
- Registration is defined as the process of aligning a scanned image with a reference image.
- the registration process generally comprises two steps.
- the first step is to determine corresponding points, or features of the scanned image and the reference image.
- the second step is transforming the input and reference image to a common coordinate system.
- the transformation to a common coordinate system is typically a geometric transformation and includes translations, rotations, and scale changes.
- the transformation step positions the two images with respect to one another so that corresponding points in the images represent the same point on the object.
- registration involves orienting a first image with respect to a second image so as to make all alignment parameters of the first image the same as corresponding alignment parameters of the second image.
- Alignment, or pose correction is course, i.e., imprecise registration.
- an alignment step for coarse relative positioning can be followed by a registration step to achieve fine or more precise relative positioning.
- Pose error is defined to be the difference between the position of the object as represented in the scanned image of the object, and the position of the object as represented in the reference image of the object. In that sense, pose correction is repositioning the object such that the pose error is minimized.
- Interpolation is defined to mean estimation of the values between two known values.
- the problem of accuracy is common to all transformations. On any grid, any geometric transformation results generally in points that do not any longer lie on the original grid. Therefore, suitable algorithms are required to interpolate the values at transformed points from the neighboring pixels. The high demands for position accuracy make image interpolation critical.
- Matching is defined to mean post-registration comparison of a reference image with an scanned image, or vice versa, to determine differences which represent deviations of the scanned image from the reference image, or of the object's actual shape from it's ideal, or specified shape.
- Figure 1 is a block diagram of an apparatus 10 for finding shape deformations according to one embodiment of the present invention.
- Apparatus 10 is adapted to inspect and determine deformations of an object 12. Deformations may include tilt, bend, twist or warp in the surface shape of object 12 when compared to a CAD model or to other representations of the ideal configuration of object 12.
- object 12 comprises a blade e.g., a turbine blade of an aircraft, having an airfoil 14 extending from a platform 16. While the following description is directed to inspecting airfoils such as aircraft engine blades, one skilled in the art will appreciate that the method may be used to find shape deformation in any object having smooth surfaces and a stacking axis generally similar to stacking axis 18.
- the blade 12 to be inspected is positioned within the sensing range of an imaging device 20.
- imaging device 20 obtains scanned image 22 and stores it in an image register 24 for further processing at a later time.
- the imaging device 20 operates in real time.
- the imaging device 20 is a hard gauge comprising micrometers, calipers, and shims. The hard gage measures a plurality of defined contact points on the blade to characterize the blade.
- imaging device 20 is a coordinate measurement machine (CMM) which translates and rotates a probe around the blade 12 and records a plurality of contact points on the surface of blade.
- CMMs provide dense measurements of the contact points compared to hard gages. However, the length of time required to scan an object such as an aircraft engine blade is longer.
- Yet another embodiment of the invention employs a full-field non-contact range sensor as an imaging device 20.
- the range sensor scans the external surfaces of the blade 12 about 100 times faster than a CMM.
- Range sensors such as range cameras, take images similar to ordinary cameras except that, instead of measuring the visible light irradiated by an object, a range camera measures the distance from the camera to the surface of the object.
- a range image is referred to as a range image.
- imaging device 20 is a full field, non-contact, laser line grating range sensor mounted on a translation stage to acquire surface data.
- IAS Integrated Automation Systems'
- 4DI sensors are employed in one embodiment of the invention. These sensors are based on laser line grating and stereo triangulation.
- Another suitable range sensor is available from Cyber-Optics Co. These sensors are based on single laser line scan and rotation of the object.
- Other suitable range sensors are based on phased-shift Moire' and white light.
- One embodiment of the invention employs a plurality of range sensors mounted on translation stages to acquire dense surface data, and further includes a rotation stage to rotate the blade 12.
- imaging devices such as x-ray and Magnetic Resonance Imaging (MRI) devices can provide an scanned image 15 for use in accordance with the present invention. Accordingly, the invention is not intended to be limited to imaging devices which provide range images.
- MRI Magnetic Resonance Imaging
- Three dimensional data are obtained from the blade 12 by scanning the blade 12 with imaging device 20.
- the data are stored in memory 22, and provided from memory 22 to a patch determining device 32.
- a reference image is stored in a reference image memory 30.
- a reference image comprises digital data to which the scanned image 22 of blade 12 will be compared in order to detect deformations in blade.
- a reference image comprises ideal characteristics of blade 12 including ideal shape data.
- patch determining devices 32 and 34 comprise processors programmed to portion the scanned image 22 and the reference image 30 into a plurality of surface areas, referred to herein as patches.
- a patch can include one or more sections of a grid of a CAD image, and portions thereof.
- the number of patches into which the reference image 30 is portioned is manually selected by an operator. The more patches selected the smaller will be the area of each patch, and conversely, the fewer patches selected the larger will be the area of each patch. Larger patches provide course registration of blade 12 to the reference image 30 and smaller patches allow for finer the registration of blade 12 to reference image 30.
- patch determining devices 32, 34 operate independently of the other elements of system 10. In other words, patch determining devices 32, 34 compute low curvature patches off-line and store the low curvature patches in the image register 24 for registration with object 12 at a later time. Based on the patch scale selected by the operator, the reference image 30 is digitized at regular grid points on the CAD image grid which fall within each patch. In one embodiment of the invention, the local curvature of grid points within each patch is checked, and those patches containing grid points having curvature minima are retained. In one embodiment of the invention, a least square error technique is utilized to check local curvature. Thus a set of low curvature patches is obtained for the selected scale.
- Each selected low curvature patch represents a low curvature surface portion of reference image 30.
- the scale may be varied by the operator such that a plurality of patch sets, each set corresponding to a different patch size, or scale, is obtained and stored. In this manner, course to fine registration of scanned image of blade 12 to reference image 30 may be achieved quickly.
- each patch Pi is represented in the image register 24 by its center position pi and its normal ni.
- the patch determining devices 32, 34 calculate a center point p, for each low curvature surface patches P j .
- the center point p of a patch is defined to be the patch's center of mass.
- the patch determining devices 32, 34 are programmed to determine a vector n, normal to each patch P, at its center point p Point pairs p ⁇ are then stored in the image register 24.
- Point pairs p ⁇ are provided to the transformer estimator 26. Transformation estimator 26 analyzes a plurality of point pairs P ⁇ ,n;. For each patch center point p, transformation estimator 18 determines a corresponding point q on a corresponding patch P' of scanned image 22. As previously stated, scanned image 22 comprises data representing measurements taken of the surface of blade 12.
- the transformation estimator 26 includes a processor 36 that receives center location Pi and normal n t for each of the patches P; and determines where a geometric extension of the normal vector from point P; from the reference will intercept the scanned image data. This location is termed q ⁇ and defined to be the intersection point on the scanned image data from an extension of the normal of the ith patch of the reference image data.
- the processor 36 further minimizes each of the distances d(P, P') from the reference image patches to the scanned image patches.
- the transformation estimator 26 receives pi, qi and ni for each patch Pi and determines the pose error between the reference image 30 and the scanned image 22.
- the scanned image data are weighted according to pose error to compensate and minimize the pose error. The foregoing results in the registration of the reference image to the scanned image.
- the transformer estimator 26 further includes a segmenter 38, an airfoil mapper 40, a platform mapper 42 and a constraint device 44.
- the processor 36 aligns and registers the scanned data points of the scanned image 22 with the CAD model.
- the segmenter 38 then separates the registered scanned data of the blade 12 into airfoil data and platform data. Each segment of data is provided to the respective airfoil mapper 40 and platform mapper 42 which map the respective data points to the CAD model.
- the constraint device 44 adds leading edge constraints and platform constraints to the registration.
- the output of the transformation estimator 26 is a transform (T) which maps registered scanned image 22 and registered reference image 30 to each 5 other.
- the transform is provided to deformation estimator 28, which decomposes the transformation parameters into principal deformation modes of skew, scaling and translation for both the airfoil and its platform.
- the decomposed parameters are then provided to a display 45, which presents shape deformations to an operator in each deformation mode. This display l o allows the operator to correct the deformations of the object.
- the blade 12 is scanned by the imaging device 20 to obtain data 15 points comprising scanned image 22 of the blade.
- the processor 36 of the transformation estimator 26 aligns the centers of gravity and the moments of inertia of the surface data points of the blade 12 and a corresponding CAD model 30 of the blade. As a result of this alignment, the scanned data of the blade 12 is aligned with the CAD model 30 to give a large 20 domain of convergence. Large is defined to be translation up to about +/- half the size of object 50, and rotation is up to about +/- 45 degrees.
- step 56 the scanned data points representing the blade 12 are registered to the CAD model 30 using robust least-square and low curvature patches.
- robust registration of the data points using 25 low curvature patches is performed by a Robust-Closest Patch algorithm (RCP) that accurately registers the data points to the CAD model, using all points on all visible and stable surfaces of the part.
- RCP Robust-Closest Patch algorithm
- the RCP algorithm iteratively matches model patches to data surfaces based on the current pose and then re-estimates pose based on these matches.
- registration using RCP is driven by low curvature patches computed from the model off-line.
- the RCP algorithm uses an approximate normal distance between a patch and a surface to avoid the need to estimate local surface normal and curvature from noisy data. Pose is solved by a linear system in six parameters, using a symmetric formulation of the rotation constraint. The transformation estimator 26 estimates both the rigid pose parameters and the error standard deviation to provide robustness. The RCP algorithm will be described in greater detail hereinafter.
- step 58 the segmenter 38 segments the registered data points into the data points representative of the both the airfoil 14 and the platform 16, based on the proximity of the scanned data points to the CAD airfoil or platform.
- the platform 16 provides a reference for mapping the data points to the CAD model 30.
- the platform mapper 42 maps the platform data points to the CAD model through a rigid-body transformation comprising three (3) translations and three (3) rotations.
- the airfoil mapper 40 maps registered data points on the airfoil 14 to the CAD model 30 through a rigid- body transformation plus a simple deformation.
- the mapping is performed by linearly transforming the cross-section along the stacking axis 18 of the blade 12. This shape deformation includes six (6) more parameters that include two
- the constraint device 44 adds leading edge constraints to the steps of registering the airfoil 14 to the CAD model 30.
- the leading edge constraints are derived from at least one, but preferably two, images received by a pair of cameras 46.
- the airfoil 14 is back-lit to project a profile of the airfoil to the cameras 46.
- the leading edge constraints approximate a six point nest of contacts.
- the added constraints fixture the leading edge with 4 point contacts, which constrain 2 orientations and 2 locations.
- platform x-point constraint is added to the registration, which is equivalent to 1 point contact on the platform 16, to zero-out the translation along the stacking axis 18.
- Low curvature patches on the airfoil 14 provide a point contact near the trailing edge of the airfoil.
- step 68 the rigid-body transformation and the process-based deformation is solved from the low-curvature patches and the additional constraints on the leading edge and platform.
- the data points of the rigid-body transformation and deformation are segmented, with data points segmented into the airfoil 14 and platform 16, so different constraints and transforms can be applied thereto.
- a total of 12 transformation parameters comprising three (3) translations, three (3) rotations, and six (6) deformation parameters are found. Transformations are 4x3 matrices, with the last row being the translation.
- step 70 the twelve (12) transformation parameters are decomposed into a number of principal modes, such as translation, orientation, bend, twist, bulge, etc., wherein the most significant transformation parameter is decomposed first. To ensure the decomposition is unique and accurate, the effects of the principal modes are decomposed.
- step 72 the effects of the principal modes are then displayed as gage measurements representative of the translation and orientation for platform gage, the bend for bow gage, twist for twist/warp gage, opening/closing for contour gage, and bulge for thickness gage.
- the scanned data points of the airfoil are finely registered to the CAD model.
- fine registration is accomplished using an RCP algorithm.
- the RCP algorithm matches each scanned data point to its nearest point on the model surface, computes the 3D rigid transformation that best aligns these matches, and repeats these two steps using the most recently estimated pose until convergence.
- pose is solved by singular value decomposition of a linear system in six parameters.
- Another embodiment of the invention is constructed from a linear and symmetric formulation of the rotation constraint using Rodrigues' formula rather than quaternions or orthonormal matrices.
- An M-estimator estimates both the rigid pose parameters and the error standard deviation to ensure robustness to gross errors in the data.
- the RCP algorithm iterates two steps until convergence. First, the RCP algorithm matches model and data points based on the current pose estimate. Next, the RCP algorithm refines the pose estimate based on these matches.
- the RCP algorithm 80 (shown in FIG. 3) translates the model patches to align the model's center of mass with that of the data in step 82. Initial rotation is given by the assumed view point.
- step 84 RCP algorithm 80 finds for each patch Pi the matching location q, by moving a matched filter, sized to P Organic along the line /,, through p, and parallel to n technically searching for the nearest significant response from current location pitate as shown in Figure 4. This estimates the piercing point of /, with the implicit surface from which the data are measured without the expensive and noise sensitive process of estimating surface parameters from the data.
- Match point q is a good approximation of the ideal match for p, if the patch P, has low curvature, as will be described in greater detail hereinafter.
- rotation R is represented by the skew symmetric matrix
- step 88 RCP algorithm 80 updates the positions and normals of the model patches and accumulates the incremental transformation in to the current pose:
- This entire registration process is embedded in a multi-resolution framework, using a few large patches at the coarsest resolution to eliminate the largest registration errors, and many small patches at the finest resolution for precise registration.
- Steps 84, 86, and 88 are repeated until convergence and the data points are registered to the CAD model, as best shown in steps 90 and 92.
- Figure 4 depicts flat patches P and P' to be registered.
- Patch P is disposed on the model surface, with mid point p and normal n defined a priori (CAD model).
- Patch P' is inferred from the range data as part of a larger planar surface with normal n'. Since the local patch P' has no detectable boundaries or landmarks, its midpoint p' can not be found by local features detection and matching. Instead, the location p' corresponding to point p is constructed to be the projection of p onto the infinite plane supporting patch P ⁇ along the average normal n:
- oc arcsm (
- intersection points q and q * can be constructed by projecting p along the normal n and n' respectively. Al three are related, and so the distance measure between a model patch P and a data surface containing patch P' can be constructed as:
- the patch P' is free to rotate and translate tangentially along its surface.
- the normal distance between point and surface is minimized, leading to faster convergence to the final pose than minimizing the Euclidean distance between model and matched points.
- Figure 5 depicts curved patches P and P' to be registered.
- the local radius of curvature at the patches P and P' is represented by r.
- the q and q' are now on the curved patch P', and are found from the mid point p of patch P, along the normals n and n" respectively.
- the distance measure between a curved patch and a curved surface is defined as:
- Low curvature is defined herein to be a local radius of curvature r greater than the absolute normal distance ⁇ d(P, P')
- the curved arc between points q and q' makes an angle at the mid point p, and angle ⁇ at the center of curvature of the patch P'.
- Taylor expansions and eliminating ⁇ local curvature is shown to only add second order terms in c :
- Figure 6 illustrates the following formula of Rodriques for determining the linear solution of pose:
- the axis of rotation u and the angle of rotation ⁇ are all described in the 3- component vector ⁇ with no additional constraints on it.
- the singularity at ⁇ - ⁇ is unavoidable since all rotations can not be represented using just three parameters.
- the present invention is embodied in the form of computer-implemented processes and apparatuses for practicing those processes.
- Another embodiment of the invention is computer program code containing instructions embodied in tangible media, such as floppy diskettes, compact disks such as CD-ROMs, hard drives, or any other computer-readable storage medium, wherein, when the computer program code is loaded into and executed by a computer, the computer becomes an apparatus for practicing the invention.
- One embodiment of the present invention is in the form of computer program code whether stored in a storage medium, loaded into and/or executed by a computer, or transmitted over some transmission medium, such as over electrical wiring or cabling, through fiber optics, or via electromagnetic radiation, wherein, when the computer program code is loaded into and executed by a computer, the computer becomes an apparatus for practicing the invention.
- the computer program code segments configure the microprocessor to create specific logic circuits.
- the present invention is useful to compare old airfoils to new ones, or to their CAD models, for improved diagnosis, repair, or rebuild of turbines.
- the applications would extend to all generally curved shapes including generalized cylinders.
- generalized cylinders the intent is to find shape deformations along the axis of the generalized cylinder.
- Specialized tubings and pipes in engines are further examples of applications for the present invention.
- This invention allows the replacement of expensive hard gages, customized to each blade model, by a Light Gage system that is programmable for all models.
- the invention can also be used to register and find deformations in bones, blood vessels, or the spinal cord, to fuse MR, CT, ultrasound data, or to correspond patient data to an atlas. This will allow better visualization and accurate localization of tumors in image-guided surgery.
Abstract
Description
Claims
Priority Applications (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
DE69916237T DE69916237T2 (en) | 1998-07-28 | 1999-07-22 | Determine shape deformations on objects with transformation parameters after a registration |
JP2000562717A JP4815052B2 (en) | 1998-07-28 | 1999-07-22 | Apparatus and method for searching for deformation of object having smooth surface |
EP99935842A EP1042645B1 (en) | 1998-07-28 | 1999-07-22 | Finding shape deformations in objects with transformation parameters after registering |
Applications Claiming Priority (4)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US9444398P | 1998-07-28 | 1998-07-28 | |
US60/094,443 | 1998-07-28 | ||
US09/353,986 | 1999-07-15 | ||
US09/353,986 US6748112B1 (en) | 1998-07-28 | 1999-07-15 | Method and apparatus for finding shape deformations in objects having smooth surfaces |
Publications (1)
Publication Number | Publication Date |
---|---|
WO2000006969A1 true WO2000006969A1 (en) | 2000-02-10 |
Family
ID=26788888
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
PCT/US1999/016604 WO2000006969A1 (en) | 1998-07-28 | 1999-07-22 | Finding shape deformations in objects with transformation parameters after registering |
Country Status (5)
Country | Link |
---|---|
US (1) | US6748112B1 (en) |
EP (1) | EP1042645B1 (en) |
JP (1) | JP4815052B2 (en) |
DE (1) | DE69916237T2 (en) |
WO (1) | WO2000006969A1 (en) |
Cited By (12)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2002015308A (en) * | 2000-06-30 | 2002-01-18 | Minolta Co Ltd | Generating method for geometric model |
FR2814565A1 (en) * | 2000-09-26 | 2002-03-29 | Faro Tech Inc | Procedure to improve incorporation of metrology in computer-assisted manufacture, uses decomposition of component data held in large CAM file into smaller data files and analysis files that guide analysis of surface geometry of part |
JP2003302206A (en) * | 2002-03-28 | 2003-10-24 | General Electric Co <Ge> | Method for locating edge in three dimensions using side illumination |
WO2004020935A1 (en) * | 2002-08-31 | 2004-03-11 | Carl Zeiss Industrielle Messtechnik Gmbh | Coordinate measuring device and method for measuring a workpiece |
EP1494003A1 (en) * | 2003-06-30 | 2005-01-05 | General Electric Company | Method for airfoil blades control and qualification |
EP1574818A2 (en) | 2004-03-09 | 2005-09-14 | General Electric Company | Non-contact measurement method and apparatus |
EP1672170A1 (en) * | 2004-12-15 | 2006-06-21 | Techspace Aero S.A. | Method of repairing a bladed rotor disc |
US7346999B2 (en) | 2005-01-18 | 2008-03-25 | General Electric Company | Methods and system for inspection of fabricated components |
FR2913901A1 (en) * | 2007-03-20 | 2008-09-26 | Snecma Services Sa | PROCESS FOR REPAIRING FACTORY PARTS SUCH AS TURBOMACHINE BLADES OR DAM BLADES |
WO2010112894A1 (en) * | 2009-04-02 | 2010-10-07 | Roke Manor Research Limited | Automated 3d article inspection |
US8745887B2 (en) | 2011-03-16 | 2014-06-10 | Rolls-Royce Plc | Method of measuring a component |
FR3047310A1 (en) * | 2016-01-28 | 2017-08-04 | Snecma | METHOD OF CONTROLLING A MACHINE PART |
Families Citing this family (69)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US7471821B2 (en) * | 2000-04-28 | 2008-12-30 | Orametrix, Inc. | Method and apparatus for registering a known digital object to scanned 3-D model |
US20020126877A1 (en) * | 2001-03-08 | 2002-09-12 | Yukihiro Sugiyama | Light transmission type image recognition device and image recognition sensor |
US6829382B2 (en) * | 2001-06-13 | 2004-12-07 | Shih-Jong J. Lee | Structure-guided automatic alignment for image processing |
JP3782368B2 (en) * | 2002-03-29 | 2006-06-07 | 株式会社東芝 | Object image clipping method and program, and object image clipping device |
US6985238B2 (en) * | 2002-09-25 | 2006-01-10 | General Electric Company | Non-contact measurement system for large airfoils |
GB2403799B (en) * | 2003-07-11 | 2006-04-12 | Rolls Royce Plc | Image-based measurement |
EP1510283B1 (en) * | 2003-08-27 | 2007-10-17 | ALSTOM Technology Ltd | Automated adaptive machining of obstructed passages |
US8275204B1 (en) | 2003-11-05 | 2012-09-25 | Shahar Kovalsky | Estimation of joint radiometric and geometric image deformations |
US7406197B2 (en) * | 2003-11-05 | 2008-07-29 | Joseph M Francos | Parametric estimation of multi-dimensional homeomorphic transformations |
CA2555473A1 (en) | 2004-02-17 | 2005-09-01 | Traxtal Technologies Inc. | Method and apparatus for registration, verification, and referencing of internal organs |
JP3937414B2 (en) * | 2004-08-11 | 2007-06-27 | 本田技研工業株式会社 | Planar detection apparatus and detection method |
GB0419381D0 (en) * | 2004-09-01 | 2004-10-06 | Renishaw Plc | Machine tool method |
US8437502B1 (en) * | 2004-09-25 | 2013-05-07 | Cognex Technology And Investment Corporation | General pose refinement and tracking tool |
GB0424417D0 (en) * | 2004-11-03 | 2004-12-08 | Univ Heriot Watt | 3D surface and reflectance function recovery using scanned illumination |
US7722565B2 (en) | 2004-11-05 | 2010-05-25 | Traxtal, Inc. | Access system |
US7805269B2 (en) | 2004-11-12 | 2010-09-28 | Philips Electronics Ltd | Device and method for ensuring the accuracy of a tracking device in a volume |
KR100689707B1 (en) * | 2004-11-12 | 2007-03-08 | 삼성전자주식회사 | Bank selection signal control circuit, semiconductor memory device having the same and method for control bank selection signal |
US7751868B2 (en) | 2004-11-12 | 2010-07-06 | Philips Electronics Ltd | Integrated skin-mounted multifunction device for use in image-guided surgery |
EP1838215B1 (en) | 2005-01-18 | 2012-08-01 | Philips Electronics LTD | Electromagnetically tracked k-wire device |
US8611983B2 (en) | 2005-01-18 | 2013-12-17 | Philips Electronics Ltd | Method and apparatus for guiding an instrument to a target in the lung |
DE102005018456A1 (en) * | 2005-04-20 | 2006-11-02 | HOS Hottinger Systems GbR (vertretungsberechtigter Gesellschafter: Walter Leo Pöhlandt, 68782 Brühl) | Method for automatically detecting relief information on surfaces |
CA2612603C (en) | 2005-06-21 | 2015-05-19 | Traxtal Inc. | Device and method for a trackable ultrasound |
EP1898775B1 (en) | 2005-06-21 | 2013-02-13 | Philips Electronics LTD | System and apparatus for navigated therapy and diagnosis |
FR2889308B1 (en) * | 2005-07-28 | 2007-10-05 | Snecma | CONTROL OF TURBOMACHINE AUBES |
US9661991B2 (en) | 2005-08-24 | 2017-05-30 | Koninklijke Philips N.V. | System, method and devices for navigated flexible endoscopy |
US7310588B2 (en) * | 2005-10-24 | 2007-12-18 | United Technologies Corporation | System and method for verifying the dimensions of airfoils |
US7684609B1 (en) * | 2006-05-25 | 2010-03-23 | Kla-Tencor Technologies Corporation | Defect review using image segmentation |
DE102006031009B4 (en) | 2006-07-05 | 2008-07-10 | Airbus Deutschland Gmbh | Method and device for monitoring the status of structural components |
KR20090104857A (en) | 2007-01-22 | 2009-10-06 | 캘리포니아 인스티튜트 오브 테크놀로지 | Method and apparatus for quantitative 3-d imaging |
US8089635B2 (en) | 2007-01-22 | 2012-01-03 | California Institute Of Technology | Method and system for fast three-dimensional imaging using defocusing and feature recognition |
US7952595B2 (en) * | 2007-02-13 | 2011-05-31 | Technische Universität München | Image deformation using physical models |
KR20100019455A (en) | 2007-04-23 | 2010-02-18 | 캘리포니아 인스티튜트 오브 테크놀로지 | Single-lens, single-aperture, single-sensor 3-d imaging device |
US8578579B2 (en) * | 2007-12-11 | 2013-11-12 | General Electric Company | System and method for adaptive machining |
WO2009105221A2 (en) * | 2008-02-19 | 2009-08-27 | Rolls-Royce Corporation | System, method, and apparatus for repairing objects |
US8238635B2 (en) * | 2008-03-21 | 2012-08-07 | General Electric Company | Method and system for identifying defects in radiographic image data corresponding to a scanned object |
US20090287450A1 (en) * | 2008-05-16 | 2009-11-19 | Lockheed Martin Corporation | Vision system for scan planning of ultrasonic inspection |
US8184909B2 (en) * | 2008-06-25 | 2012-05-22 | United Technologies Corporation | Method for comparing sectioned geometric data representations for selected objects |
WO2010027391A2 (en) * | 2008-08-27 | 2010-03-11 | California Institute Of Technology | Method and device for high-resolution three-dimensional imaging which obtains camera pose using defocusing |
US8526705B2 (en) * | 2009-06-10 | 2013-09-03 | Apple Inc. | Driven scanning alignment for complex shapes |
US8773507B2 (en) | 2009-08-11 | 2014-07-08 | California Institute Of Technology | Defocusing feature matching system to measure camera pose with interchangeable lens cameras |
WO2011031538A2 (en) * | 2009-08-27 | 2011-03-17 | California Institute Of Technology | Accurate 3d object reconstruction using a handheld device with a projected light pattern |
CN103153553B (en) * | 2010-08-27 | 2016-04-06 | Abb研究有限公司 | Vision guide alignment system and method |
JP6007178B2 (en) | 2010-09-03 | 2016-10-12 | カリフォルニア インスティテュート オブ テクノロジー | 3D imaging system |
EP2718668B1 (en) | 2011-06-07 | 2023-07-26 | Creaform Inc. | Sensor positioning for 3d scanning |
JP5916052B2 (en) * | 2011-06-08 | 2016-05-11 | 株式会社ミツトヨ | Alignment method |
CN104335005B (en) | 2012-07-04 | 2017-12-08 | 形创有限公司 | 3D is scanned and alignment system |
JP6267700B2 (en) | 2012-07-18 | 2018-01-24 | クレアフォーム・インコーポレイテッドCreaform Inc. | 3D scanning and positioning interface |
US20140172144A1 (en) * | 2012-12-17 | 2014-06-19 | Mitsubishi Electric Research Laboratories, Inc. | System and Method for Determining Surface Defects |
DE102013001808A1 (en) | 2013-02-04 | 2014-08-07 | Ge Sensing & Inspection Technologies Gmbh | Method for non-destructive testing of the volume of a test object and test device set up to carry out such a method |
US9852512B2 (en) | 2013-03-13 | 2017-12-26 | Electronic Scripting Products, Inc. | Reduced homography based on structural redundancy of conditioned motion |
US8970709B2 (en) * | 2013-03-13 | 2015-03-03 | Electronic Scripting Products, Inc. | Reduced homography for recovery of pose parameters of an optical apparatus producing image data with structural uncertainty |
US9016560B2 (en) | 2013-04-15 | 2015-04-28 | General Electric Company | Component identification system |
US10013767B2 (en) * | 2013-11-01 | 2018-07-03 | The Research Foundation For The State University Of New York | Method for measuring the interior three-dimensional movement, stress and strain of an object |
US9952117B2 (en) | 2015-02-27 | 2018-04-24 | General Electric Company | Methods for determining strain on turbine components using a plurality of strain sensor reference features |
US9851279B2 (en) | 2015-02-27 | 2017-12-26 | General Electric Company | Methods for determining strain on turbine components using traversable strain sensor readers |
GB201505400D0 (en) * | 2015-03-30 | 2015-05-13 | Rolls Royce Plc | Multi coordinate reference system for positioning bladed drum |
CN105466486B (en) * | 2015-11-17 | 2018-01-16 | 武汉科技大学 | A kind of elastohydrodynamic lubrication testing machine |
WO2017132165A1 (en) | 2016-01-25 | 2017-08-03 | California Institute Of Technology | Non-invasive measurement of intraocular pressure |
US11577159B2 (en) | 2016-05-26 | 2023-02-14 | Electronic Scripting Products Inc. | Realistic virtual/augmented/mixed reality viewing and interactions |
EP3496806B1 (en) | 2016-08-08 | 2022-07-06 | Deep Brain Stimulation Technologies Pty. Ltd. | Systems and methods for monitoring neural activity |
EP3629913A4 (en) | 2017-05-22 | 2020-12-30 | Deep Brain Stimulation Technologies Pty. Ltd. | "systems and methods for monitoring neural activity" |
US10621717B2 (en) * | 2018-03-30 | 2020-04-14 | General Electric Compnay | System and method for image-based target object inspection |
US11055532B2 (en) * | 2018-05-02 | 2021-07-06 | Faro Technologies, Inc. | System and method of representing and tracking time-based information in two-dimensional building documentation |
DE102018211284A1 (en) * | 2018-07-09 | 2020-01-09 | Siemens Aktiengesellschaft | Device and method for removing coating material from cooling fluid openings of a component |
US10832444B2 (en) * | 2019-02-18 | 2020-11-10 | Nec Corporation Of America | System and method for estimating device pose in a space |
CN115552486A (en) | 2020-01-29 | 2022-12-30 | 因思创新有限责任公司 | System and method for characterizing an object pose detection and measurement system |
GB202006769D0 (en) * | 2020-05-07 | 2020-06-24 | Rolls Royce Plc | Method of machining a component |
US11301989B2 (en) * | 2020-05-14 | 2022-04-12 | Taurex Drill Bits, LLC | Wear data quantification for well tools |
US11501478B2 (en) | 2020-08-17 | 2022-11-15 | Faro Technologies, Inc. | System and method of automatic room segmentation for two-dimensional laser floorplans |
Citations (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US4908782A (en) * | 1983-05-19 | 1990-03-13 | Compressor Components Textron Inc. | Airfoil inspection method |
US5047966A (en) * | 1989-05-22 | 1991-09-10 | Airfoil Textron Inc. | Airfoil measurement method |
US5208763A (en) * | 1990-09-14 | 1993-05-04 | New York University | Method and apparatus for determining position and orientation of mechanical objects |
US5521847A (en) * | 1994-07-01 | 1996-05-28 | General Electric Company | System and method for determining airfoil characteristics from coordinate measuring machine probe center data |
US5627771A (en) * | 1993-06-22 | 1997-05-06 | Toyota Jidosha Kabushiki Kaisha | Apparatus and method for evaluating shape of three-dimensional object |
US5715166A (en) * | 1992-03-02 | 1998-02-03 | General Motors Corporation | Apparatus for the registration of three-dimensional shapes |
Family Cites Families (9)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US4482971A (en) * | 1982-01-18 | 1984-11-13 | The Perkin-Elmer Corporation | World wide currency inspection |
US4668982A (en) * | 1985-06-17 | 1987-05-26 | The Perkin-Elmer Corporation | Misregistration/distortion correction scheme |
EP0381067A3 (en) | 1989-01-31 | 1992-08-12 | Schlumberger Technologies, Inc. | A method for registration of cad model to video images with added clutter |
JPH0812054B2 (en) * | 1990-06-04 | 1996-02-07 | オリンパス光学工業株式会社 | Method of measuring object using imaging means |
JP3330790B2 (en) * | 1995-08-30 | 2002-09-30 | 株式会社日立製作所 | Three-dimensional shape recognition device, construction support device, object inspection device, type recognition device, and object recognition method |
US5917940A (en) * | 1996-01-23 | 1999-06-29 | Nec Corporation | Three dimensional reference image segmenting method and device and object discrimination system |
CA2253719A1 (en) * | 1996-04-24 | 1997-10-30 | Shriners Hospitals For Children | Method and apparatus for recording three-dimensional topographies |
US5988862A (en) * | 1996-04-24 | 1999-11-23 | Cyra Technologies, Inc. | Integrated system for quickly and accurately imaging and modeling three dimensional objects |
US5828769A (en) * | 1996-10-23 | 1998-10-27 | Autodesk, Inc. | Method and apparatus for recognition of objects via position and orientation consensus of local image encoding |
-
1999
- 1999-07-15 US US09/353,986 patent/US6748112B1/en not_active Expired - Lifetime
- 1999-07-22 DE DE69916237T patent/DE69916237T2/en not_active Expired - Lifetime
- 1999-07-22 JP JP2000562717A patent/JP4815052B2/en not_active Expired - Lifetime
- 1999-07-22 EP EP99935842A patent/EP1042645B1/en not_active Expired - Lifetime
- 1999-07-22 WO PCT/US1999/016604 patent/WO2000006969A1/en active IP Right Grant
Patent Citations (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US4908782A (en) * | 1983-05-19 | 1990-03-13 | Compressor Components Textron Inc. | Airfoil inspection method |
US5047966A (en) * | 1989-05-22 | 1991-09-10 | Airfoil Textron Inc. | Airfoil measurement method |
US5208763A (en) * | 1990-09-14 | 1993-05-04 | New York University | Method and apparatus for determining position and orientation of mechanical objects |
US5715166A (en) * | 1992-03-02 | 1998-02-03 | General Motors Corporation | Apparatus for the registration of three-dimensional shapes |
US5627771A (en) * | 1993-06-22 | 1997-05-06 | Toyota Jidosha Kabushiki Kaisha | Apparatus and method for evaluating shape of three-dimensional object |
US5521847A (en) * | 1994-07-01 | 1996-05-28 | General Electric Company | System and method for determining airfoil characteristics from coordinate measuring machine probe center data |
Cited By (18)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2002015308A (en) * | 2000-06-30 | 2002-01-18 | Minolta Co Ltd | Generating method for geometric model |
US7006084B1 (en) | 2000-09-26 | 2006-02-28 | Faro Technologies, Inc. | Method and system for computer aided manufacturing measurement analysis |
FR2814565A1 (en) * | 2000-09-26 | 2002-03-29 | Faro Tech Inc | Procedure to improve incorporation of metrology in computer-assisted manufacture, uses decomposition of component data held in large CAM file into smaller data files and analysis files that guide analysis of surface geometry of part |
JP2003302206A (en) * | 2002-03-28 | 2003-10-24 | General Electric Co <Ge> | Method for locating edge in three dimensions using side illumination |
JP4515036B2 (en) * | 2002-03-28 | 2010-07-28 | ゼネラル・エレクトリック・カンパニイ | Method of determining the position of the three-dimensional edge by side lighting |
WO2004020935A1 (en) * | 2002-08-31 | 2004-03-11 | Carl Zeiss Industrielle Messtechnik Gmbh | Coordinate measuring device and method for measuring a workpiece |
US7194378B2 (en) | 2002-08-31 | 2007-03-20 | Carl Zeiss Industrielle Messtechnik Gmbh | Coordinate measuring apparatus and method for measuring a workpiece |
EP1494003A1 (en) * | 2003-06-30 | 2005-01-05 | General Electric Company | Method for airfoil blades control and qualification |
US6969821B2 (en) | 2003-06-30 | 2005-11-29 | General Electric Company | Airfoil qualification system and method |
EP1574818A3 (en) * | 2004-03-09 | 2006-02-15 | General Electric Company | Non-contact measurement method and apparatus |
US7327857B2 (en) | 2004-03-09 | 2008-02-05 | General Electric Company | Non-contact measurement method and apparatus |
EP1574818A2 (en) | 2004-03-09 | 2005-09-14 | General Electric Company | Non-contact measurement method and apparatus |
EP1672170A1 (en) * | 2004-12-15 | 2006-06-21 | Techspace Aero S.A. | Method of repairing a bladed rotor disc |
US7346999B2 (en) | 2005-01-18 | 2008-03-25 | General Electric Company | Methods and system for inspection of fabricated components |
FR2913901A1 (en) * | 2007-03-20 | 2008-09-26 | Snecma Services Sa | PROCESS FOR REPAIRING FACTORY PARTS SUCH AS TURBOMACHINE BLADES OR DAM BLADES |
WO2010112894A1 (en) * | 2009-04-02 | 2010-10-07 | Roke Manor Research Limited | Automated 3d article inspection |
US8745887B2 (en) | 2011-03-16 | 2014-06-10 | Rolls-Royce Plc | Method of measuring a component |
FR3047310A1 (en) * | 2016-01-28 | 2017-08-04 | Snecma | METHOD OF CONTROLLING A MACHINE PART |
Also Published As
Publication number | Publication date |
---|---|
JP2002521683A (en) | 2002-07-16 |
EP1042645A1 (en) | 2000-10-11 |
DE69916237D1 (en) | 2004-05-13 |
DE69916237T2 (en) | 2005-07-28 |
JP4815052B2 (en) | 2011-11-16 |
EP1042645B1 (en) | 2004-04-07 |
US6748112B1 (en) | 2004-06-08 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
EP1042645B1 (en) | Finding shape deformations in objects with transformation parameters after registering | |
US6504957B2 (en) | Method and apparatus for image registration | |
US7327857B2 (en) | Non-contact measurement method and apparatus | |
US6041132A (en) | Computed tomography inspection of composite ply structure | |
US10478147B2 (en) | Calibration apparatus and method for computed tomography | |
CN102782721B (en) | System and method for runtime determination of camera calibration errors | |
US8526705B2 (en) | Driven scanning alignment for complex shapes | |
US7015473B2 (en) | Method and apparatus for internal feature reconstruction | |
Akca | Matching of 3D surfaces and their intensities | |
US20060069527A1 (en) | Shape model generation method and shape model generation system | |
JPH1130595A (en) | Method for comparing actual shape of object with estimated shape | |
EP1497794B1 (en) | Calibration software for surface reconstruction of small objects | |
Noble et al. | X-ray metrology for quality assurance | |
US6411915B1 (en) | Method and apparatus for calibrating a non-contact range sensor | |
Yang et al. | Investigation of point cloud registration uncertainty for gap measurement of aircraft wing assembly | |
Zhang et al. | Performance analysis of active shape reconstruction of fractured, incomplete skulls | |
WO2000007146A1 (en) | Method and apparatus for calibrating a non-contact range sensor | |
JP3761458B2 (en) | Object length calculation method and object length calculation device | |
Chekanov et al. | 1-point RANSAC for circular motion estimation in computed tomography (CT) | |
Knyaz | Photogrammetry for rapid prototyping: development of noncontact 3D reconstruction technologies |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
AK | Designated states |
Kind code of ref document: A1 Designated state(s): JP |
|
AL | Designated countries for regional patents |
Kind code of ref document: A1 Designated state(s): AT BE CH CY DE DK ES FI FR GB GR IE IT LU MC NL PT SE |
|
WWE | Wipo information: entry into national phase |
Ref document number: 1999935842 Country of ref document: EP |
|
ENP | Entry into the national phase |
Ref country code: JP Ref document number: 2000 562717 Kind code of ref document: A Format of ref document f/p: F |
|
121 | Ep: the epo has been informed by wipo that ep was designated in this application | ||
WWP | Wipo information: published in national office |
Ref document number: 1999935842 Country of ref document: EP |
|
WWG | Wipo information: grant in national office |
Ref document number: 1999935842 Country of ref document: EP |