Development of a multi-resolution framework for NUBS

Information Sciences

Volumn 163, Issue 4, 2004, Pages 239-251

  Sarfraz, Muhammad ^a   Siddiqui, Mohammed Ali ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

B spline; Control point decimation; Knot decimation; Multi resolution; Wavelets

Indexed keywords

COMPUTER AIDED DESIGN; COMPUTER GRAPHICS; DATA ACQUISITION; DATA PROCESSING; DATA REDUCTION; MATHEMATICAL MODELS; POLYNOMIALS; PROBLEM SOLVING;

B-SPLINE; CONTROL POINT DECIMATION; KNOT DECIMATION; MULTI-RESOLUTION; WAVELETS;

INFORMATION SCIENCE;

EID: 2642569321     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2003.06.010     Document Type: Article

References (18)

1. Celniker G., Gossard D. Deformable curve and surface finite elements for freeform shape design. Computer Graphics. 25(4):1991.
2. M.S. Adeeb Chughtai, ANURBS: an alternative to the NURBS of degree three, MS Thesis, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia, 1999.
3. E. Cobb, Design of sculptured surfaces using the B-spline representation, Ph.D. Thesis, University of Utah, USA, 1984.
4. D. Conner, S. Snibble, K. Herndon, D. Robins, R. Zeleznic, A. Van-Dam, Three dimensional widgets, in: Proceeding of the Symposium on Interactive 3D Graphics, 1992.
5. G. Elber, C. Gotsman, Multi-resolution control for nonuniform B-spline curve editing, in: Pacific graphics'95, 1995.
6. Farin G. Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide. 1990;Academic Press Inc.
7. Adam F., Salesin D.H. Multi-resolution curves. Proceedings of SIGGRAPH. 1994;261-268 ACM, New York.
8. Foley, Van Dam, Feiner, Hughes, Phillips Computer Graphics. 1994;Prentice-Hall International.
9. 2 rational splines Computers and Graphics. 18(2):1994;153-159.
10. G. Laurent, S. Christophe, B. Carole, An Hermitian Approach for Multi-resolution Splines, Technical report no. 1192-97, LaBRI, 1997.
11. Rogers David F., Adams Alan J. Mathematical Elements for Computer Graphics. second ed. 1990;McGraw-Hill International.
12. 2 rational cubic splines Engineering with Computers. 11(2):1995;94-102.
13. Sarfraz M. Cubic spline curves with shape control. Computers and Graphics. 18(5):1994;707-713.
14. Sarfraz M. Generalized geometric interpolation for rational cubic splines. Computers and Graphics. 18(1):1994;61-72.
15. Stollnitz E.J., DeRose T.D., Salesin D.H. Wavelets for computer graphics: a primer Part-1. IEEE Computer Graphics and Applications. 15(3):1995;76-84.
16. Stollnitz E.J., DeRose T.D., Salesin D.H. Wavelets for computer graphics: a primer, Part-2. IEEE Computer Graphics and Applications. 15(4):1995;75-85.
17. Stollnitz E.J., DeRose T.D., Salesin D.H. Wavelets for Computer Graphics: Theory and Applications. 1996;Morgan Kaufman Publishers, San Francisco, USA.
18. Welch W., Witkin A. Variational surface modeling. Computer Graphics. 26(2):1992.