Compactly Supported, Piecewise Affine Scaling Functions on Triangulations |
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| Authors: | G. C. Donovan J. S. Geronimo D. P. Hardin |
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| Affiliation: | (1) Program for Applied and Computational Mathematics Princeton University Princeton, NJ 08544 USA donovan@math.princeton.edu, US;(2) School of Mathematics Georgia Institute of Technology Atlanta, GA 30332 USA geronimo@math.gatech.edu, US;(3) Department of Mathematics Vanderbilt University Nashville, TN 37240 USA hardin@math.vanderbilt.edu, US |
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| Abstract: | The methods of using intertwining MRAs to find orthogonal scaling functions have previously been applied to one-dimensional MRAs and are here extended to two-dimensional bases. Two examples are constructed from MRAs consisting of continuous, compactly supported, piecewise affine functions of two variables. The resulting scaling functions can be conveniently restricted to compact domains. November 23, 1997. Date accepted: January 22, 1999. |
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| Keywords: | . Two-dimensional multiresolution analysis Orthogonal wavelets Triangulations. AMS Classification. 41A15 41A63. |
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