A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Optimal Way of Moving a Sequence of Points onto a Curve in Two Dimensions
Computational Optimization and Applications - Special issue on computational optimization—a tribute to Olvi Mangasarian, part II
Machine Interpretation of Line Drawing Images: Technical Drawings, Maps, and Diagrams
Machine Interpretation of Line Drawing Images: Technical Drawings, Maps, and Diagrams
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognition of Shapes by Editing Their Shock Graphs
IEEE Transactions on Pattern Analysis and Machine Intelligence
Statistical Shape Analysis: Clustering, Learning, and Testing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Integral Invariants for Shape Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
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In statistical shape analysis, curve matching is often used to find correspondences between the sample points of a curve image and those of another curve image by using a dissimilarity measure of curve images. In this paper, we present a novel dissimilarity measure of curve images to be used in curve matching, together with a way of distributing sample points on each curve image. We prove that the dissimilarity measure has an asymptotic guarantee for finding a part of a curve image which is similar to a part of another one, with their respective sample points.