Interactive deformation of irregular surface models

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2330 LNCS, Issue PART 2, 2002, Pages 239-248

  Zheng, Jin Jin ^a   Zhang, Jian J ^a  

^a BOURNEMOUTH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMATION; PRODUCT DESIGN; TOPOLOGY;

ARBITRARY TOPOLOGY; COMPUTER AIDED PRODUCT DESIGNS; COMPUTER ANIMATION; CONTINUITY CONDITIONS; IRREGULAR SURFACE; SMOOTHNESS CONDITIONS; SURFACE DEFORMATION; SURFACE MODELING;

DEFORMATION;

EID: 24944529458     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-46080-2_25     Document Type: Conference Paper

References (26)

1. Ball, A A and Zheng, J J (2001). Degree elevation for n-sided surfaces. CAGD 18(2). 135- 147.
2. Catmull, E and Clark, J (1978). Recursively generated B-spline surfaces on arbitrary topological meshes, CAD 10, No 6, 350-355.
3. Celniker G and W Welch (1992). Linear constraints for deformable B-spline surfaces. ACM Proceedings of the 1992 Symposium on Interactive 3D Graphics. 165-170.
4. Doo, D W H and Sabin, M A (1978). Behaviour of recursive division surfaces near extraordinary points, CAD 10, 356-360.
5. Gregory, J A and Yuen, P K (1992). An arbitrary mesh network scheme using rational splines, in Lyche, T. and Schumaker, L. L. eds., Mathematical Methods in Computer Aided Geometric Design II, Academic Press.
6. Gregory, J A and Zhou, J (1994). Filling polygonal holes with bi-cubic patches, CAGD 11, 391-410.
7. Hosaka, M and Kimura, F (1984). Non-four-sided patch expressions with control points, CAGD 1, 75-86.
8. Juhász I (1999). Weight-based shape modification of NURBS curves, Computer Aided Geometric Design 16 (1999), 377-383.
9. Kocic L M (1991). Modification of Bézier curves and surfaces by degree-elevation technique, Computer-Aided Design 23, 692-699.
10. Lin J, Ball A A and Zheng J J (1998). Surface modelling and mesh generation for simulating superplastic forming, Journal of Materials Processing Tech., Vol. 80-81, 613-619.
11. Liu D (1986). A geometric condition for smoothness between adjacent rectangular Bézier patches, Acta. Math. Appl. Sinica 9, No. 4, 432-442.
12. Liu D and Hoschek J (1989), GC1 continuity conditions between adjacent rectangular and triangular Bézier surface patches, CAD 21, 194-200.
13. Liu W (1997). A simple, efficient degree raising algorithm for B-spline curves, CAGD 14, 693-698.
14. Loop C T and DeRose, T D (1989). A multisided generalisation of Bézier surfaces, ACM Transaction on Graphics 8, No 3, 204-234.
15. Peters J (1990). Smooth mesh interpolation with cubic patch, CAD 22(2). 109-120.
16. Piegl L and Tiller W (1994). Software-engineering approach to degree elevation of Bspline curves, Computer-Aided Design 26, 17-28.
17. Sabin M A (1983). Non-rectangular surfaces suitable for inclusion in a B-spline surface, in T. Hagen, ed., Eurographics'83, 57-69.
18. Van Wijk J J (1986). Bi-cubic patches or approximating non-rectangular control-point meshes, CAGD 3, 1-13.
19. Varady T (1991). Overlap patches: a new scheme for interpolating curve networks with nsided regions, CAGD 8, No 1, 7-27.
20. Zheng J J and Ball, A A (1997). Control point surfaces over non-four-sided areas, CAGD 14, No. 9, 807-821.
21. Zheng, J J and J J Zhang (2001). Physically Based Sculpting of n-sided Surfaces. CADGraphics 2001. Kunming, International Academic Publishers. 63-69.
22. Zhang, J J and You, L H (2001). PDE based surface representation, Computers and Graphics, 25(6), to appear.
23. Barnhill, R. E., Farin, G. E. and Chen, Q(1993). Constant-radius blending of parametric surfaces, Computing Supple., 8:1-20.
24. Shene, C.-K., 1998, Blending two cones with Dupin cyclides, Computer Aided Geometric Design, 15:643-673.
25. G Farin (1997). Curves and Surfaces for Computer Aided Geometric Design. Academic Press, fourth edition.
26. Terzopoulos D and H Qin (1994). Dynamic NURBS with geometric constraints for interactive sculpting. ACM Transaction on Graphics, Vol 13, No 2, 103-136.