International Journal of Robotics Research
IEEE Transactions on Pattern Analysis and Machine Intelligence
FORMS: a flexible object recognition and modeling system
International Journal of Computer Vision
Computable elastic distances between shapes
SIAM Journal on Applied Mathematics
Curves Matching Using Geodesic Paths
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
MMBIA '00 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis
On the min DSS problem of closed discrete curves
Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
Continuous curve matching with scale-space curvature and extrema-based scale selection
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
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We present a 2D matching method based on corresponding shape outlines. By working in discrete space, our study is done by using discrete operators and avoids interpolations and approximations. To encode shapes, we polygonalize their contours and we proceed by the extraction of intrinsic properties namely length, curvature and normal vectors. We optimize then a measure of similarity controlled by weight parameters over a dynamic programming process. The approach is not sensitive to sampling errors and affine transformations. We validate our approach on simple and complex forms, we made tests also to recognize shapes. The weight parameters could be interactively modified by an end-user to customize the matching.