A divide-and-conquer approach for automatic polycube map construction

Computers and Graphics (Pergamon)

Volumn 33, Issue 3, 2009, Pages 369-380

  He, Ying ^a   Wang, Hongyu ^b   Fu, Chi Wing ^a   Qin, Hong ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b Stony Brook University   (United States)

Author keywords

Computational geometry; Discrete Ricci flow; Geometric algorithms; Object modeling; Polycube map; Shape modeling; Uniform flat metric

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER GRAPHICS; MESH GENERATION; TEXTURES;

GEOMETRIC ALGORITHM; OBJECT MODEL; POLY-CUBE MAPS; RICCI FLOWS; SHAPE MODEL; UNIFORM FLAT METRIC;

TOPOLOGY;

EID: 67349126153     PISSN: 00978493     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cag.2009.03.024     Document Type: Article

References (15)

1. Tarini M., Hormann K., Cignoni P., and Montani C. Polycube-maps. TOG 23 3 (2004) 853-860
2. Li H., Lo K.-Y., Leung M.-K., and Fu C.-W. Dual Poisson-disk tiling: an efficient method for distributing features on arbitrary surfaces. IEEE Transactions on Visualization and Computer Graphics 14 5 (2008) 982-998
3. Fan Z., Jin X., Feng J., and Sun H. Mesh morphing using polycube-based cross-parameterization. Computer Animation and Virtual Worlds 16 3-4 (2005) 499-508
4. Wang H., He Y., Li X., Gu X., and Qin H. Polycube splines. Computer-Aided Design 40 6 (2008) 721-733
5. Wang H., Jin M., He Y., Gu X., and Qin H. User-controllable polycube map for manifold spline construction. ACM symposium on solid and physical modeling (SPM '08) (2008) 397-404
6. Li X., Bao Y., Guo X., Jin M., Gu X., and Qin H. Global optimal surface mapping for shapes of arbitrary topology. IEEE Transactions on Visualization and Computer Graphics 14 4 (2008) 805-819
7. Jin M., Kim J., and Gu X.D. Discrete surface Ricci flow: theory and applications. IMA conference on the mathematics of surfaces (2007) 209-232
8. Lin J., Jin X., Fan Z., and Wang C.C.L. Automatic polycube-maps. GMP (2008) 3-16
9. Leung M.-K., Pang W.-M., Fu C.-W., Wong T.-T., and Heng P.-A. Tileable BTF. IEEE Transactions on Visualization and Computer Graphics 13 (2007) 953-965
10. Ji J., Wu E., Li S., and Liu X. Dynamic LOD on GPU. Computer graphics international (2005) 108-114
11. Ni X., Garland M., and Hart J.C. Fair Morse functions for extracting the topological structure of a surface mesh. ACM Transactions on Graphics 23 3 (2004) 613-622
12. Chow B, Luo F. Combinatorial Ricci flows on surfaces. Journal of Differential Geometry 2003; 97-129.
13. Gu X., Wang S., Kim J., Zeng Y., Wang Y., Qin H., et al. Ricci flow for 3D shape analysis. ICCV (2007)
14. Degener P., Meseth J., and Klein R. An adaptable surface parameterization method. IMR (2003) 201-213
15. Li X., Guo X., Wang H., He Y., Gu X., and Qin H. Harmonic volumetric mapping for solid modeling applications. Symposium on solid and physical modeling (2007) 109-120