2017/04/30 by Aslı Gençtav, Genctav, Asli, Yusuf Sahillioğlu +3
Computer Science · Engineering · #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques #Advanced Vision and Imaging #Computational Geometry (cs.CG) #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #Graphics (cs.GR) #Image Retrieval and Classification Techniques
paper · pdf · doi:10.48550/arxiv.1705.00274
openalex publication_date 2017/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Despite being vastly ignored in the literature, coping with topological noise\nis an issue of increasing importance, especially as a consequence of the\nincreasing number and diversity of 3D polygonal models that are captured by\ndevices of different qualities or synthesized by algorithms of different\nstabilities. One approach for matching 3D shapes under topological noise is to\nreplace the topology-sensitive geodesic distance with distances that are less\nsensitive to topological changes. We propose an alternative approach utilising\ngradual deflation (or inflation) of the shape volume, of which purpose is to\nbring the pair of shapes to be matched to a \comparable topology before\nthe search for correspondences. Illustrative experiments using different\ndatasets demonstrate that as the level of topological noise increases, our\napproach outperforms the other methods in the literature.\n