Curve approximation with quadratic B-splines

Proceedings of the International Conference on Information Visualisation

Volumn 2005, Issue , 2005, Pages 419-424

  Masood, Asif ^a   Sarfraz, Muhammad ^b   Haq, Shaiq A ^a  

^a UNIVERSITY OF ENGINEERING AND TECHNOLOGY   (Pakistan)

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

Author keywords

Curve approximation; Data Points; Knots; Opening angle plot; Quadratic B splines

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; COMPUTER AIDED DESIGN; COMPUTER GRAPHICS; ERROR DETECTION;

CURVE APPROXIMATION; DATA POINTS; KNOTS; OPENING ANGLE PLOTS; QUADRATIC B-SPLINES;

INFORMATION THEORY;

EID: 33749060625     PISSN: 10939547     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IV.2005.39     Document Type: Conference Paper

References (11)

1. Bezier, P. Mathematical and Practical Possibilities of UNISURF in Barnhill. Riesenfeld R.E., Riesenfeld R.F., eds. Computer Aided Geometric Design, Academic Press, New York, 1974.
2. Boehm, W. Inserting new knots into B-spline curves. Computer-Aided Design 12, 199-201, 1980.
3. DeBoor, C. Package for Calculating with B-Splines. Society for Industrial and Applied Mathematics. Journal of Numerical Analysis, vol. 14, No. 3, pp. 441-472, June 1977.
4. Farin, G. Curves and Surfaces for CACD: A Practical Guide. Academic Press, 1998.
5. Hearn, D., M.P. Baker. Computer Graphics. Prentice Hall publication, 1997.
6. Hölzle, G.E. Knot placement for piecewise polynomial approximation of curves. Computer Aided Design, 15(5):295-296, 1983.
7. Juhász, I., M. Hoffmann. The Effect of Knot Modifications on the Shape of B-spline Curves. Journal for Geometry and Graphics, vol. 5, No. 2, pp. 111-119, 2001.
8. Pratt, M., R. Goult, L. He. On rational parametric curve approximation. Computer Aided Geometric Design, 10(3/4):363-377, 1993.
9. Razdan, A. A Knot Placement for B-Spline Curve Approximation. PRISM publications, 1999. http://prism.asu.edu/research/data/publications/paper99_kpbsca.pdf
10. Sarfraz, M., M.R. Asim, A. Masood. Capturing Outlines using Cubic Bezier Curves. The Proceedings of 1st IEEE International Conference on Information & Communication Technologies: from Theory to Applications, 2004.
11. Speer, T., M. Kuppe, J. Hoschek. Global reparametrization for curve approximation. Computer Aided Geometric Design, vol. 15, pp. 869-877, 1998.