Using Projective Invariants for Constant Time Library Indexing in Model Based Vision

Protectively invariant shape descriptors allow fast indexing into model libraries, because recognition proceeds without reference to object pose. This paper describes progress in building a large model based vision system which uses many projectively invariant descriptors. We give a brief account of these descriptors and then describe the recognition system, giving examples of the invariant techniques working on real images. We demonstrate the ease of model acquisition in our system, where models are generated directly from images. We demonstrate fast recognition without determining object pose or camera parameters.

[1]  Luc Van Gool,et al.  Recognition and semi-differential invariants , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[2]  David A. Forsyth,et al.  Relative motion and pose from arbitrary plane curves , 1992, Image Vis. Comput..

[3]  J. Canny Finding Edges and Lines in Images , 1983 .

[4]  David A. Forsyth,et al.  Invariant Descriptors for 3D Object Recognition and Pose , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[5]  F. Bookstein Fitting conic sections to scattered data , 1979 .

[6]  Peter C. Wayner,et al.  Efficiently using invariant theory for model-based matching , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[7]  Gil J. Ettinger,et al.  Large hierarchical object recognition using libraries of parameterized model sub-parts , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

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

[9]  Tony P. Pridmore,et al.  Segmentation and description of binocularly viewed contours , 1987, Image Vis. Comput..

[10]  David G. Lowe,et al.  Perceptual Organization and Visual Recognition , 2012 .

[11]  Yehezkel Lamdan,et al.  Object recognition by affine invariant matching , 2011, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

[12]  Luce Morin,et al.  Relative positioning from geometric invariants , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[13]  Lars Nielsen,et al.  Projective area-invariants as an extension of the cross-ratio , 1991, CVGIP Image Underst..