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   -> Volume 6, Issue 11


Preprint: Optimal interpolatory subdivision schemes
 
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Bin Han (bhan@vega.math.ualberta.ca)
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PostPosted: Wed Oct 15, 1997 7:22 pm    
Subject: Preprint: Optimal interpolatory subdivision schemes
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#6 Preprint: Optimal interpolatory subdivision schemes

Dear Wavelet Digest Readers,

We have done some work on designing optimal multivariate
interpolatory subdivision schemes. Interpolatory subdivision schemes
are useful in CADG and are closely related to the wavelet theory. The
following is our recent paper. Please visit our home page:
http://approx.math.ualberta.ca/~bhan/
for more details about our research work on interpolatory subdivision
schemes.
More examples of interpolatory masks g_r and h_r (r=2..20) are given
there.

Thank you for your interest in our research work!

Authors:
Bin Han and Rong-Qing Jia
Title :
Optimal Interpolatory Subdivision Schemes in Multidimensional Spaces.

Abstract: We analyse the approximation and smoothness properties of
fundamental and refinable functions that arise from interpolatory
subdivision schemes in multidimensional spaces. In particular, we
provide a general way for the construction of bivariate interpolatory
refinement masks such that the corresponding fundamental and refinable
functions attain the optimal approximation order and smoothness order.
In addition, these interpolatory refinement masks are minimally
supported and enjoy full symmetry. Several examples are explicitly
computed.

Bin Han
Dept. of mathematical Sciences
University of Alberta,
Edmonton, Alberta , Canada T6G 2G1
Email: bhan@vega.math.ualberta.ca
Research: http://approx.math.ualberta.ca/~bhan
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