Curve designing using a rational cubic spline with point and interval shape control

Proceedings of the International Conference on Information Visualisation

Volumn 2000-July, Issue , 2000, Pages 63-68

  Sarfraz, Muhammad ^a   Raheem, Mohammed Abdul ^a  

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

Author keywords

Non uniform rational B spline; Rational Bernstein Bezier curves; Rational cubic spline; Shape control; Tension

Indexed keywords

INTERPOLATION;

B SPLINES; INTERPOLATORY; LOCAL SUPPORT; NON-UNIFORM RATIONAL B-SPLINES; RATIONAL BERNSTEIN-BEZY CURVE; RATIONAL CUBIC SPLINE; SHAPE CONTROL; SPLINE CURVE; TENSION;

CURVE FITTING;

EID: 85116571297     PISSN: 10939547     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IV.2000.859738     Document Type: Conference Paper

References (7)

1. Barsky. B. A. The beta-spline: A local representation based on shape parameters and geometric measures. PhD thesis, Dept. of Computer Science, The University of Utah, 1981.
2. Thomas A. Foley. "Interpolation with Interval and Point Tension Controls Using Cubic Weighted v-Splines" . ACM Transaction on Mathematical Software, 13(1):68-96, March 1987.
3. Gregory .J.A. and Sarfraz M. "A Rational Cubic Spline with Tension". Computer Aided Geometric Design, 7:1-13, 1990.
4. Neilson. G. M. Some Piecewise Polynomial Alternatives to Splines under Tension, in R. E. Barnhill and R. F.Riesenfeld, eds., Computer Aided Geometric Design. Academic Press, New York, 1974.
5. Nielson. G. M. "Rectangular v-splines". IEEE Computer Graphics Applications, 6:35-40, 1986.
6. 2 Rational B-Spline Surfaces with Tension Control". New advances in CAD & Computer Graphics, International academic publishers, Beijing, 1:314-320, August 1993.
7. Boehm. W. "Curvature Continuous Curves and Surfaces". Computer Aided Geometric Design, 2(2):313-323, 1985.