Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10361449 | Pattern Recognition Letters | 2012 | 6 Pages |
Abstract
Persistent homology provides shapes descriptors called persistence diagrams. We use persistence diagrams to address the problem of shape comparison based on partial similarity. We show that two shapes having a common sub-part in general present a common persistence sub-diagram. Hence, the partial Hausdorff distance between persistence diagrams measures partial similarity between shapes. The approach is supported by experiments on 2D and 3D data sets.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Vision and Pattern Recognition
Authors
Barbara Di Fabio, Claudia Landi,