Epipolar reconstruction of 3D structures

Details Epipolar reconstruction of 3D structures Epipolar reconstruction of 3D structures

1995-05-22

1996-09-24

Porta, David P.

Radiant energy

Invisible radiant energy responsive electric signalling

With means to inspect passive solid objects

2503581, G01N 2302

Patent

active

055593348

ABSTRACT:
A method of reconstructing selected features of a part manufactured according to a CAD model involves acquiring a set of linear push broom (LPB) projection images of the part acquired at different angles about an axis of rotation passing through the part. Acquiring a set of matrices M.sub.j j=1 . . . N, each of which maps 3D coordinates of the part to screen coordinates of one of the projection images. Reconstruction of 3D structures from the projection images requires identification of screen coordinates of each image which correspond to a point of the structure of the part to be reconstructed. Back projecting these screen coordinates modified by the distortion inherent in the LPB imaging device. This is accomplished by selecting a screen coordinate on a feature desired to be reconstructed. Computing a ray passing through the selected screen coordinate through an imaging center. Using each M matrix to map this ray to a hyperbola on the other images. The hyperbola is then scanned until the desired feature is encountered. This second screen location of this projection image corresponds to the first selected screen location. A second ray through the second screen coordinate is constructed. Where it intersects the first ray identifies the 3D reconstruction point. This is repeated for a number of points to create a reconstruction of the selected feature.

REFERENCES:
patent: 4747574 (1988-05-01), Hofmann
"Camera Calibration for 2.5 D X-Ray Metrology" by R. Gupta, J. A. Noble, R. I. Hartley, A. M. Schmitz to be Published at the International Conference on Image Processing, to be Held Oct. 22-25, 1995 in Washington, D.C.
"Linear Pushbroom Cameras" by R. I. Hartley, R. Gupta, Presented at the Third European Conference on Computer Vision, Stockholm. Sweden, Computer Vision--ECCV '94, pp. 555-566.
"X-Ray Metrology for Quality Assurance" by J. A. Noble, R. I. Hartley, J. L. Mundy, J. Farley Presented at the 1994 International Conference on Robotics and Automation, Proc. IEEE International Conference on Robotics and Automation, pp. 1113-1119, San Diego, CA. May 8-13, 1995.
"Cad-Based Inspection Using X-Ray Stereo" by J. A. Noble, R. Gupta, J. L. Mundy, R. I. Hartley, W. Hoffman Presentation to ICRA '95 Nagota, Japan, May 21-27, 1995.

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