Extending Catmull-Clark subdivision and PCCM with polar structures

Proceedings - Pacific Conference on Computer Graphics and Applications

Volumn , Issue , 2007, Pages 313-320

  Myles, Ashish ^a   Karěiauskas, Kestutis ^b   Peters, Jörg ^a  

^a UNIVERSITY OF FLORIDA   (United States)

^b VILNIUS UNIVERSITY   (Lithuania)

Author keywords

[No Author keywords available]

Indexed keywords

(1 1 0) SURFACE; APPLIED (CO); CATMULL; CLARK SUBDIVISION; CUBIC SPLINES; FINITE SETS; FREE FORM MODELLING; OBJECT DESIGN; POLAR STRUCTURES; PRODUCT CONFIGURATIONS; SMOOTH SURFACES;

BISMUTH PLATING; COLOR IMAGE PROCESSING; COMPUTATIONAL GEOMETRY; COMPUTER APPLICATIONS; COMPUTER GRAPHICS; GRAPHIC METHODS; MESH GENERATION; SET THEORY;

SPLINES;

EID: 46749132731     PISSN: 15504085     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/PG.2007.24     Document Type: Conference Paper

References (19)

1. U. H. Augsdörfer, N. A. Dodgson, and M. A. Sabin. Tuning subdivision by minimising gaussian curvature variation near extraordinary vertices. Computer Graphics Forum (Proc. Eurographics), 25(3):263-272, 2006.
2. H. Bohl and U. Reif. Degenerate Beźier patches with continuous curvature. Computer Aided Geometric Design, 14(8):749-761,1997.
3. E. Catmull and J. Clark. Recursively generated B-spline surfaces on arbitrary topological meshes. Computer Aided Design, 10:350-355, 1978.
4. I. Ginkel and G. Umlauf. Loop subdivision with curvature control. In A. Scheffer and K. Polthier, editors, Proceedings of Symposium on Geometry Processing, June 26-28 2006, Cagliari, Italy, pages 163172. ACM Press, 2006.
5. M. Halstead, M. Kass, and T. DeRose. Efficient, fair interpolation using Catmull-Clark surfaces. Proceedings of SIGGRAPH 93, pages 35-44, Aug 1993.
6. 2 polar jet subdivision. In A. Scheffer and K. Polthier, editors, Proceedings of Symposium on Geometry Processing, June 26-28 2006, Cagliari, Italy, pages 173-180. ACM Press, 2006.
7. K. Karčiauskas and J. Peters. Bicubic polar subdivision. ACM TOG, pages xx-xx, 2007. to appear.
8. K. Karčiauskas, J. Peters, and U. Reif. Shape characterization of subdivision surfaces - case studies. Computer Aided Geometric Design, 21(6):601-614, July 2004.
9. A. Levin. Modified subdivision surfaces with continuous curvature. In SIGGRAPH '06: ACM SIGGRAPH 2006 Papers, pages 1035-1040, New York, NY, USA, 2006. ACM Press.
10. 3. Computer Aided Geometric Design, 11(4):451-474, 1994.
11. J. Peters. Parametrizing singularly to enclose vertices by a smooth parametric surface. In in: S. MacKay and E. M. Kidd, editors, Graphics Interface '91, pages 1-7, Calgary, Alberta, 1991. Canadian Information Processing Society.
12. J. Peters. Patching Catmull-Clark meshes. In SIGGRAPH '00: Proceedings of the 27th annual conference on Computer graphics and interactive techniques, pages 255-258, New York, NY, USA, 2000. ACM Press/Addison-Wesley Publishing Co.
13. J. Peters and U. Reif. Shape characterization of subdivision surfaces: basic principles. Computer Aided Geometric Design, 21(6):585-599,2004.
14. U. Reif. A note on degenerate triangular Beźier patches. Comput. Aided Geom. Des., 12(5):547-550, 1995.
15. U. Reif. A unified approach to subdivision algorithms near extraordinary vertices. Computer Aided Geometric Design, 12:153-174, 1995.
16. U. Reif. TURBS-topologically unrestricted rational β-splines. Constructive Approximation. An International Journal for Approximations and Expansions, 14(1):57-77, 1998.
17. U. Reif and J. Peters. Structural analysis of subdivision surfaces - a summary. In K. letter et al., editor, Topics in Multivariate Approximation and Interpolation, volume 12, pages 149-190, 2005.
18. 2 triangle/quad subdivision. ACM Transactions on Graphics, 24(1):28-36, 2005.
19. J. Stam and C. T. Loop. Quad/triangle subdivision. Computer Graphics Forum, 22(1):79-86, 2003.