Artificial Intelligence
Partial Shape Recognition Using Dynamic Programming
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape matching using curvature processes
Computer Vision, Graphics, and Image Processing
Index-based object recognition in pictorial data management
Computer Vision, Graphics, and Image Processing
Dynamic Programming for Detecting, Tracking, and Matching Deformable Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
A computational theory for binocular stereopsis
Perception as Bayesian inference
Extended attributed string matching for shape recognition
Computer Vision and Image Understanding
Non-rigid Curve Correspondence for Estimating Heart Motion
IPMI '97 Proceedings of the 15th International Conference on Information Processing in Medical Imaging
Tracking Points on Deformable Objects Using Curvature Information
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Analysis of Planar Shapes Using Geodesic Paths on Shape Spaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Shape of Plane Elastic Curves
International Journal of Computer Vision
Shape of Elastic Strings in Euclidean Space
International Journal of Computer Vision
Symmetric Non-rigid Registration: A Geometric Theory and Some Numerical Techniques
Journal of Mathematical Imaging and Vision
Elastic-string models for representation and analysis of planar shapes
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Optimized Conformal Surface Registration with Shape-based Landmark Matching
SIAM Journal on Imaging Sciences
Some new results on non-rigid correspondence and classification of curves
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Non-rigid shape comparison of implicitly-defined curves
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
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A mathematical theory for establishing correspondences between curves and for non-rigid shape comparison is developed in this paper. The proposed correspondences, called bimorphisms, are more general than those obtained from one-to-one functions. Their topology is investigated in detail.A new criterion for non-rigid shape comparison using bimorphisms is also proposed. The criterion avoids many of the mathematical problems of previous approaches by comparing shapes non-rigidly from the bimorphism.Geometric invariants are calculated for curves whose shapes can be exactly matched with a bimorphism. The invariants are related to the concave and convex segments of a curve and provide justification for parsing the curve into such segments.