Intrinsic Reflective Symmetry Axis Curve Generation for Meshes
42nd Computer Graphics International Conference, CGI 2025, Hong Kong, China, 14 - 18 July 2025, vol.16507 LNCS, pp.513-526, (Full Text)
- Publication Type: Conference Paper / Full Text
- Volume: 16507 LNCS
- Doi Number: 10.1007/978-3-032-22261-9_41
- City: Hong Kong
- Country: China
- Page Numbers: pp.513-526
- Keywords: Bisector Region, Intrinsic Symmetry Axis Curve Generation, Symmetric Matching, Symmetric Sampling
- Middle East Technical University Affiliated: Yes
Abstract
Symmetry is a key structural cue in computer graphics, guiding many shape analysis tasks. We propose a novel method to extract intrinsic reflective symmetry axis curves—curves that split a mesh into two intrinsically symmetric, near-equal regions. Our approach begins with geodesic-based point sampling, followed by point matching via spectral histograms computed along geodesic paths to candidate bisector regions. These histograms are compared using normalized optimal transport. To improve robustness, we aggregate votes from multiple paths and midpoints, selecting the best bisector region and refining the axis iteratively. Our method outperforms state-of-the-art techniques on SCAPE and TOSCA, and produces strong results on the diverse Princeton dataset.