Modifying free-formed NURBS curves and surfaces for offsetting without local self-intersection

CAD Computer Aided Design

Volumn 36, Issue 12, 2004, Pages 1161-1169

  Sun, Y F ^a   Nee, A Y C ^a   Lee, K S ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Approximations; NURBS curves and surfaces; Offsetting; Self intersections

Indexed keywords

NUMERICAL CONTROL (NC); NURBS CURVES AND SURFACES; OFFSETTING; SELF-INTERSECTIONS;

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; INTERPOLATION; POSITION CONTROL; SAMPLING;

COMPUTER AIDED DESIGN;

EID: 3042816470     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cad.2003.11.002     Document Type: Article

References (15)

1. Farouki R.T. Exact offset procedures for simple solids. Comput Aided Geom Des. 2:1985;257-279.
2. Farouki R.T. The approximation of non-degenerate offset surfaces. Comput Aided Geom Des. 3:1986;15-43.
3. Martin R.R., Stephenson P.C. Sweeping of three dimensional objects. Comput Aided Des. 22:(4):1990;223-234.
4. Elber G., Cohen E. Error bounded variable distance offset operator for free form curves and surfaces. Int J Comput Geometry Appl. 1:(1):1991;67-78.
5. Pham B. Offset curves and surfaces: a brief survey. Comput Aided Des. 24:1992;223-229.
6. Maekawa T., Patrikalakis N.M. Computation of singularities and intersections of offsets of planar curves. Comput Aided Geom Des. 10:1993;407-429.
7. Pottman H. Rational curves and surfaces with rational offsets. Comput Aided Geom Des. 12:1995;175-192.
8. Maekawa T., Cho W., Patrikalakis N.M. Computation of self-intersections of offsets of Bezier surface patches. J Mech Des: ASME Transact. 119:(2):1997;275-283.
9. Maekawa T. An overview of offset curves and surfaces. Comput Aided Des. 31:1999;165-173.
10. Filip D., Magedson R., Markot R. Surface algorithms using bounds on derivatives. Comput Aided Geom Des. 3:1986;295-311.
11. Piegl L.A., Tiller W. Computing offsets of nurbs curves and surfaces. Comput Aided Des. 31:1999;147-156.
12. Ravi Kumar G.V.V., Shastry K.G., Prakash B.G. Computing non-self-intersecting offsets of NURBS surfaces. Comput Aided Des. 34:2002;209-228.
13. Maekawa T., Patrikalakis N.M. Shape interrogation for computer aided design and manufacturing. 2001;Springer, New York.
14. Piegl L.A., Tiller W. The NURBS book. 2nd ed: 1997;Springer, New York.
15. ®, Evaluation version 2.0, Robert McNeel and Associates; 2002.