Technical Report Number
This dissertation presents a technique for comparing local shape properties for similar three-dimensional objects represented by meshes. Our novel shape representation, the curvature map, describes shape as a function of surface curvature in the region around a point. A multi-pass approach is applied to the curvature map to detect features at different scales. The feature detection step does not require user input or parameter tuning. We use features ordered by strength, the similarity of pairs of features, and pruning based on geometric consistency to efficiently determine key corresponding locations on the objects. For genus zero objects, the corresponding locations are used to generate a consistent spherical parameterization that defines the point-to-point correspondence used for the final shape comparison.
Gatzke, Timothy David and Grimm, Cindy M., "Comparing Features of Three-Dimensional Object Models Using Registration Based on Surface Curvature Signatures" Report Number: WUCS-2007-7 (2007). All Computer Science and Engineering Research.