The dual basis functions for the generalized Ball basis of odd degree

Computer Aided Geometric Design

Volumn 14, Issue 6, 1997, Pages 571-582

  Othman, W A M ^a   Goldman, R N ^b  

^a UNIVERSITY OF MALAYA   (Malaysia)

^b Rice University   (United States)

Author keywords

B zier curve; Dual basis; Generalized Ball basis

Indexed keywords

COMPUTER AIDED DESIGN;

BEZIER CURVE; DUAL BASIS; GENERALIZED BALL BASIS;

COMPUTATIONAL GEOMETRY;

EID: 0031195476     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(96)00047-7     Document Type: Article

References (9)

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3. Barry, P.J. and Goldman, R.N. (1993), Algorithms for progressive curves: Extending B-spline and blossoming techniques to the monomial, power, and Newton dual bases, in: Goldman, R.N. and Lyche, T., eds., Knot Insertion and Deletion Algorithms for B-spline Curves and Surfaces, SIAM, Philadelphia, PA, 11-63.
4. Farin, G. (1988), Curves and Surfaces for Computer Aided Geometric Design, Academic Press, New York, USA.
5. Farouki, R.T. and Rajan, V.T. (1987), On the numerical condition of polynomials in Bernstein form, Computer Aided Geometric Design 5, 191-216.
6. Goldman, R.N. (1994), Dual polynomial bases, Journal of Approximation Theory 79, 311-346.
7. Goodman, T.N.T. and Said, H.B. (1991), Shape preserving properties of the generalized Ball basis, Computer Aided Geometric Design 8, 115-121.
8. Said, H.B. (1989), A generalized Ball curve and its recursive algorithm, ACM Transactions on Graphics 8, 360-371.
9. To, T.V. (1992), Polar form approach to geometric modelling, Ph.D Thesis, Asian Institute of Technology, Bangkok.