Canonical Frames for Planar Object Recognition

We present a canonical frame construction for determining projectively invariant indexing functions for non-algebraic smooth plane curves. These invariants are semi-local rather than global, which promotes tolerance to occlusion.

[1]  V. G. Grove,et al.  A Treatise On Projective Differential Geometry , 1942 .

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

[3]  H. Freeman,et al.  Apictorial Jigsaw Puzzles: The Computer Solution of a Problem in Pattern Recognition , 1964, IEEE Trans. Electron. Comput..

[4]  C. E. Springer,et al.  Geometry and Analysis of Projective Spaces , 1967 .

[5]  Richard O. Duda,et al.  Pattern classification and scene analysis , 1974, A Wiley-Interscience publication.

[6]  Soren W. Henriksen,et al.  Manual of photogrammetry , 1980 .

[7]  Alan L. Yuille,et al.  An Extremum Principle for Shape from Contour , 1983, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  Michael Brady,et al.  The Curvature Primal Sketch , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[9]  Olivier D. Faugeras,et al.  HYPER: A New Approach for the Recognition and Positioning of Two-Dimensional Objects , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[10]  John F. Canny,et al.  A Computational Approach to Edge Detection , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[11]  H. Wolfson,et al.  Solving jigsaw puzzles by computer , 1988 .

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

[13]  Isaac Weiss,et al.  Projective invariants of shapes , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

[14]  Kenichi Kanatani,et al.  Shape from Texture: General Principle , 1989, Artif. Intell..

[15]  Andrew Blake,et al.  Shape from Texture: Estimation, Isotropy and Moments , 1990, Artif. Intell..

[16]  Aaron Heller,et al.  The evolution and testing of a model-based object recognition system , 1990, [1990] Proceedings Third International Conference on Computer Vision.

[17]  K. Kanatani.  Shape from Texture , 1990 .

[18]  Andrew Blake,et al.  Shape from texture: the homogeneity hypothesis , 1990, [1990] Proceedings Third International Conference on Computer Vision.

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

[20]  David W. Jacobs,et al.  Model group indexing for recognition , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

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

[22]  David W. Jacobs,et al.  Space and Time Bounds on Indexing 3D Models from 2D Images , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[23]  David A. Forsyth,et al.  Projectively invariant representations using implicit algebraic curves , 1991, Image Vis. Comput..

[24]  Daniel P. Huttenlocher,et al.  Fast affine point matching: an output-sensitive method , 1991, Proceedings. 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[25]  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.

[26]  D. Forsyth,et al.  Fast recognition using algebraic invariants , 1992 .

[27]  J. Mundy,et al.  Fitting affine invariant conics to curves , 1992 .

[28]  S. Carlsson.  Projectively invariant decomposition of planar shapes , 1992 .