Intrinsic Reflective Symmetry Axis Curve Generation for Meshes
42nd Computer Graphics International Conference, CGI 2025, Hong Kong, Çin, 14 - 18 Temmuz 2025, cilt.16507 LNCS, ss.513-526, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 16507 LNCS
- Doi Numarası: 10.1007/978-3-032-22261-9_41
- Basıldığı Şehir: Hong Kong
- Basıldığı Ülke: Çin
- Sayfa Sayıları: ss.513-526
- Anahtar Kelimeler: Bisector Region, Intrinsic Symmetry Axis Curve Generation, Symmetric Matching, Symmetric Sampling
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
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.