Affine Reconstruction from Perspective Image Pairs with a Relative Object-Camera Translation in Between

A method is described to recover the three-dimensional affine structure of a scene consisting of at least five points identified in two perspective views with a relative object-camera translation in between. When compared to the results for arbitrary stereo views, a more detailed reconstruction is possible using less information. The method presented only assumes that the two images are obtained by identical cameras, but no knowledge about the intrinsic parameters of the camera(s) or about the performed translation is assumed. By the same method, affine 3D reconstruction from a single view can be achieved for parallel structures. In that case, four points suffice for affine reconstruction.

[1]  J J Koenderink,et al.  Affine structure from motion. , 1991, Journal of the Optical Society of America. A, Optics and image science.

[2]  Long Quan,et al.  Relative 3D Reconstruction Using Multiple Uncalibrated Images , 1993, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[3]  L. Gool,et al.  Affine reconstruction from perspective image pairs , 1993 .

[4]  Stephen J. Maybank,et al.  Ambiguity In Reconstruction From Image Correspondences , 1990, ECCV.

[5]  Nassir Navab,et al.  Relative affine structure: theory and application to 3D reconstruction from perspective views , 1994, 1994 Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[6]  David A. Forsyth,et al.  Extracting projective structure from single perspective views of 3D point sets , 1993, 1993 (4th) International Conference on Computer Vision.

[7]  Long Quan.  Affine Stereo Calibration for Relative Affine Shape Reconstruction , 1993, BMVC.

[8]  Michael Werman,et al.  Shape from motion algorithms: a comparative analysis of scaled orthography and perspective , 1994, ECCV.

[9]  Paul A. Beardsley,et al.  Navigation using Affine Structure from Motion , 1994, ECCV.

[10]  Kenichi Kanatani,et al.  Geometric computation for machine vision , 1993 .

[11]  Paul A. Beardsley,et al.  Euclidean Structure from Uncalibrated Images , 1994, BMVC.

[12]  Rajiv Gupta,et al.  Stereo from uncalibrated cameras , 1992, Proceedings 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[13]  Richard I. Hartley,et al.  Euclidean Reconstruction from Uncalibrated Views , 1993, Applications of Invariance in Computer Vision.

[14]  J. G. Semple,et al.  Algebraic Projective Geometry , 1953 .

[15]  Luc Van Gool,et al.  Affine Reconstruction from Perspective Image Pairs Obtained by a Translating Camera , 1993, Applications of Invariance in Computer Vision.

[16]  Luc Van Gool,et al.  Determination of Optical Flow and its Discontinuities using Non-Linear Diffusion , 1994, ECCV.

[17]  Olivier D. Faugeras,et al.  What can be seen in three dimensions with an uncalibrated stereo rig , 1992, ECCV.