Title
Topological descriptors for 3D surface analysis.
Abstract
We investigate topological descriptors for 3D surface analysis, i.e. the classification of surfaces according to their geometric fine structure. On a dataset of high-resolution 3D surface reconstructions we compute persistence diagrams for a 2D cubical filtration. In the next step we investigate different topological descriptors and measure their ability to discriminate structurally different 3D surface patches. We evaluate their sensitivity to different parameters and compare the performance of the resulting topological descriptors to alternative non-topological descriptors. We present a comprehensive evaluation that shows that topological descriptors are i robust, ii yield state-of-the-art performance for the task of 3D surface analysis and iii improve classification performance when combined with non-topological descriptors.
Year
DOI
Venue
2016
10.1007/978-3-319-39441-1_8
CTIC
Keywords
DocType
Volume
3D surface classification, Surface topology analysis, Surface representation, Persistence diagram, Persistence images
Conference
abs/1601.06057
ISSN
Citations 
PageRank 
0302-9743
3
0.46
References 
Authors
15
4
Name
Order
Citations
PageRank
Matthias Zeppelzauer118621.35
Bartosz Zielinski 0001283.60
Mateusz Juda3122.74
Markus Seidl4304.36