Using the refinement equation for the construction of pre-wavelets III: Elliptic splines
- 67 Downloads
The purpose of this paper is to provide multiresolution analysis, stationary subdivision and pre-wavelet decomposition onL2(R d ) based on a general class of functions which includes polyharmonic B-splines.
Subject ClassificationAMS (NOS) 41A15 41A63 42B99
KeywordsCubesplines elliptic splines wavelets subdivision
Unable to display preview. Download preview PDF.
- G. Battle, A block spin construction of ondelettes. Part I: Lemarie' functions, Commun. Math. Phys. 110 (1987), 601–615.Google Scholar
- A.S. Cavaretta, W. Dahmen and C.A. Micchelli, Stationary subdivision, to appear in Memoirs AMS.Google Scholar
- I.J. Jackson, Radial function methods for multivariate approximation. Ph.D. Thesis, University of Cambridge, England, 1988.Google Scholar
- R.Q. Jia and C.A. Micchelli, On linear independence for integer translates of a finite number of functions, University of Waterloo Research Report, CS-90-10, 1990, to appear in the Proceedings of the Royal Society of Edinburg.Google Scholar
- R.Q. Jia and C.A. Micchelli, Using the refinement equation for the construction of prewavelets: Powers of two. To appear in:Curves and Surfaces, eds. P.J. Laurent, A. Le Méhauté and L.L. Schumaker (Academic Press, New York, 1991).Google Scholar
- C.A. Micchelli, Using the refinement equation for the construction of pre-wavelets, Numerical Algorithms 1 (1991) 75–116.Google Scholar
- Ch. Rabut, B-splines polyharmoniques Cardinales: interpolation, quasi-interpolation, filtrages. These d'Etat, Université de Toulouse, 1990.Google Scholar
- W. Rudin,Functional Analysis, (McGraw Hill Book Company, New York, 1973).Google Scholar