Geometry based triangulation of multiple trimmed NURBS surfaces

CAD Computer Aided Design

Volumn 33, Issue 6, 2001, Pages 439-454

  Ravi Kumar, G V V ^a,b,c,d   Srinivasan, Prabha ^a,e,f   Shastry, K G ^a,g   Prakash, B G ^a,h  

^a AERONAUTICAL DEVELOPMENT AGENCY   (India)

^b BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE   (India)

^c INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

^d TATA RESEARCH DEVELOPMENT AND DESIGN CENTRE   (India)

^e VISVESVARAYA NATIONAL INSTITUTE OF TECHNOLOGY   (India)

^f MALNAD COLLEGE OF ENGINEERING   (India)

^g INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^h INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; CURVE FITTING; FITS AND TOLERANCES; LAMINATED COMPOSITES; PRECISION ENGINEERING; PRODUCT DESIGN; PRODUCT DEVELOPMENT; TOPOLOGY;

EUCLIDEAN SPACE; GEOMETRY-BASED TRIANGULATION;

COMPUTER AIDED DESIGN;

EID: 0343724588     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(00)00095-6     Document Type: Article

References (17)

1. Sheng X, Hirsch BE. Triangulation of trimmed surfaces in parametric space. Comput Aided Design 1992;24(8):437-44.
2. Piegl LA, Richard MA. Tessellating trimmed NURBS surfaces. Comput Aided Design 1995;27(1):16-26.
3. Cuilliere JC. An adaptive method for the automatic triangulation of 3D parametric surfaces. Comput Aided Design 1998;30(2):139-49.
4. Hamann B, Tsai PY. A tessellation algorithm for the representation of trimmed NURBS surfaces with arbitrary trimming. Comput Aided Design 1996;28(6/7):461-72.
5. Kumar S, Manocha D. Efficient rendering of trimmed NURBS surfaces. Comput Aided Design 1995;27(7):509-21.
6. Peterson JW. Tessellation of NURBS surfaces. In: Heckbert PS, editor. Graphics gems IV, New York: Academic Press, 1994. p. 286-320.
7. Piegel LA, Tiller W. Geometry based triangulation of trimmed NURBS surfaces. Comput Aided Design 1995;30(1):11-8.
8. Rogers DF, Adams JA. Mathematical elements for computer graphics. 2nd ed. New York: McGraw-Hill, 1990.
9. Mantyla M. An introduction to solid modeling. Maryland: Computer Science press, 1988.
10. Min W, Tang Z, Zhang Z, Zhou Y, Wang M. Automatic mesh generation for multiply connected planar regions based on mesh grading propagation. Comput Aided Design 1996;28(9):671-81.
11. Joe B, Simpson RB. Triangular meshes for regions of complicated shape. Int J Num Methods Engng 1986;23:751-78.
12. Bern M, Eppstein D. Mesh generation and optimal triangulation. In: Hwang FK, Du DZ, editors. Computing in Euclidean geometry, Singapore: World Scientific, 1992.
13. Frey WH, Field DA. Mesh relaxation: a new technique for improving triangulations. Int J Num Methods Engng 1991;31:1121-33.
14. Hamann B. A data reduction scheme for triangulated surfaces. Comput Aided Geom Design 1994;11(2):197-214.
15. Hattangady NV. A fast topology manipulation algorithm for compaction of mesh/faceted models. Comput Aided Design 1998;30(10):835-43.
16. Chen YH, Wang YZ. Genetic algorithms for optimised retriangulation in the context of reverse engineering. Comput Aided Design 1999;31:261-71.
17. Amenta N, Bern M, Eppstein D. Optimal point placement for mesh smoothing. J Algorithms 1999;30:302-22.