Topologically Robust 3D Shape Matching via Gradual Deflation and Inflation
This addresses the issue of topological noise in 3D shape matching, which is increasingly important due to diverse data sources, but it appears incremental as it builds on existing matching frameworks.
The paper tackles the problem of 3D shape matching under topological noise by using gradual deflation or inflation to make shapes topologically comparable before correspondence search, and it demonstrates that this approach outperforms other methods as topological noise increases.
Despite being vastly ignored in the literature, coping with topological noise is an issue of increasing importance, especially as a consequence of the increasing number and diversity of 3D polygonal models that are captured by devices of different qualities or synthesized by algorithms of different stabilities. One approach for matching 3D shapes under topological noise is to replace the topology-sensitive geodesic distance with distances that are less sensitive to topological changes. We propose an alternative approach utilising gradual deflation (or inflation) of the shape volume, of which purpose is to bring the pair of shapes to be matched to a \emph{comparable} topology before the search for correspondences. Illustrative experiments using different datasets demonstrate that as the level of topological noise increases, our approach outperforms the other methods in the literature.