An Efficiently Computable Metric for Comparing Polygonal Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape alignment—optimal initial point and pose estimation
Pattern Recognition Letters
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Image Similarity Measure Based on Graph Matching
SPIRE '00 Proceedings of the Seventh International Symposium on String Processing Information Retrieval (SPIRE'00)
Statistical Shape Analysis: Clustering, Learning, and Testing
IEEE Transactions on Pattern Analysis and Machine Intelligence
2D-Shape Analysis Using Conformal Mapping
International Journal of Computer Vision
Information Retrieval for Music and Motion
Information Retrieval for Music and Motion
Approximate graph edit distance computation by means of bipartite graph matching
Image and Vision Computing
A Nonlinear Elastic Shape Averaging Approach
SIAM Journal on Imaging Sciences
SIAM Journal on Imaging Sciences
Multiple polyline to polygon matching
ISAAC'05 Proceedings of the 16th international conference on Algorithms and Computation
Distance sets for shape filters and shape recognition
IEEE Transactions on Image Processing
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In this paper, we develop a tracking method for the deformable boundary curves of biological organs using variational registration method. We first define the relative distortion of a pair of curves using curvatures of curves. This minimum distortion aligns corresponding points of a pair of curves. Then, we derive the mean of curves as the curve which minimises the total distortion of a collection of shapes. We compute the intermediate boundary curve of a pair of curves as the mean of these curves.