A Construction of Biorthogonal Functions to B-Splines with Multiple Knots

Applied and Computational Harmonic Analysis

Volumn 8, Issue 1, 2000, Pages 24-31

  Dyn, N ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 14244261558     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1006/acha.2000.0278     Document Type: Article

References (14)

1. deBoor C. A Practical Guide to Splines. 1978;Springer-Verlag, New York.
2. deBoor C. On local linear functionals which vanish at all B-splines but one. Law A. G., Sahney B. N. Theory of Approximation with Applications. 1976;120-145 Academic Press, San Diego.
3. Cavaretta A. S., Dahmen W., Micchelli C. A. Stationary Subdivision. 1991;Am. Math. Soc. Providence.
4. Chui C. K. An Introduction to Wavelets. 1992;Academic Press, Boston.
5. Cohen A., Daubechies I., Feauveau J. C. Biorthogonal bases of compactly supported wavelets. Comm. Pure Appl. Math. 45:1992;485-560.
6. Cohen A., Dyn N., Levin D. Stability and inter-dependence of matrix subdivision schemes. Fontanella F., Jetter K., Laurent P. J. Advanced Topics in Multivariate Approximation. 1996;33-46 World Scientific, Singapore.
7. Daubechies I. Ten Lectures on Wavelets. CBMS-NSF Conference Series in Applied Mathematics. 1992;SIAM, Philadelphia.
8. Deslaurier G., Dubuc S. Interpolation dyadique. Cherbit G. Fractals, Dimensions Non Entières et Applications. 1987;44-55 Masson, Paris.
9. D. L. Donoho, N. Dyn, D. Levin, and, T. P. Y. Yu, Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement, to appear.
10. Dyn N. Subdivision schemes in computer aided geometric design. Light W. A. Advances in Numerical Analysis II, Wavelets, Subdivision Algorithms and Radial Functions. 1992;36-104 Clarendon Press, Oxford.
11. Dyn N., Levin D. Interpolating subdivision schemes for the generation of curves and surfaces. Haussmann W., Jetter K. Multivariate Interpolation and Approximation. 1990;91-106 Birkhäuser, Basel.
12. Dyn N., Levin D. Analysis of Hermite-interpolatory subdivision schemes. Dubuc S. Spline Functions and the Theory of Wavelets. AMS Series CRM Proceedings and Lecture Notes. 1998;Am. Math. Soc. Providence.
13. Goodman T. N. T., Lee S. L. Refinable vectors of spline functions. Dahlen M., Lyche T., Schumaker L. L. Mathematical Methods for Curves and Surfaces. 1998;213-220 Vanderbilt Univ. Press, Nashville, TN.
14. Lemarie P. G. Analyses multiresolutions non-orthogonales, commutation entre projecteurs et derivation et ondelettes vecteurs a divergence nulle. Rev. Mat. Iberoamericana. 8:1992;221-236.