Amos Ron
Professor of Computer Sciences and Mathematics and member of
the Center for Mathematical Sciences
Computer Sciences Department
University of Wisconsin
1210 W. Dayton St.
Madison, WI 53706-1685
telephone: (608) 262-1204
fax: (608) 262-9777
email:
amos@cs.wisc.edu
http://www.cs.wisc.edu/~amos/
Ph.D., Tel Aviv University, 1987
Interests:
Multivariate splines, wavelets, radial basis function approximation,
polynomial interpolation, windowed Fourier transform, approximation
to scattered data
Research Summary
A spline space is a collection of `good' functions that you want
to consider for approximating others, and which satisfies certain
properties, such as being piecewise-polynomials/piecewise-exponentials,
being spanned by compactly supported functions, or easily computable.
At present I am interested in the model where the space of approximants
is a linear space of functions of several variables and is assumed
to be invariant under integer translations. My most recent work
is concerned with the application of this model in the context
of:
(1) Constructions of wavelet systems tailored for specific applications
(such as data compression or feature detection).
(2) Useful methods for approximating scattered data in several
dimensions.
Sample Recent Publications
Compactly supported
tight affine spline frames in L2(Rd) (with Z. Shen), Mathematics
of Computation, 1998.
Approximation
orders of FSI spaces in L2(Rd) (with C. de Boor and R. DeVore),
Constructive Approximation, 1998.
Tight compactly
supported wavelet frames of arbitrarily high smoothness (with
K. Gröchenig), Proceedings of the American Mathematical
Society, 1998.
This page was automatically created December 30, 1998.
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