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Proceedings Paper

Minimum Sobolev Norm schemes and applications in image processing
Author(s): S. Chandrasekaran; K. R. Jayaraman; J. Moffitt; H. N. Mhaskar; S. Pauli
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Paper Abstract

This paper describes an extension of the Minimum Sobolev Norm interpolation scheme to an approximation scheme. A fast implementation of the MSN interpolation method using the methods for Hierarchical Semiseparable (HSS) matrices is described and experimental results are provided. The approximation scheme is introduced along with a numerically stable solver. Several numerical results are provided comparing the interpolation scheme, the approximation scheme and Thin Plate Splines. A method to decompose images into smooth and rough components is presented. A metric that could be used to distinguish edges and textures in the rough component is also introduced. Suitable examples are provided for both the above.

Paper Details

Date Published: 4 February 2010
PDF: 12 pages
Proc. SPIE 7535, Wavelet Applications in Industrial Processing VII, 753507 (4 February 2010); doi: 10.1117/12.842734
Show Author Affiliations
S. Chandrasekaran, Univ. of California, Santa Barbara (United States)
K. R. Jayaraman, Univ. of California, Santa Barbara (United States)
J. Moffitt, Univ. of California, Santa Barbara (United States)
H. N. Mhaskar, California State Univ., Los Angeles (United States)
S. Pauli, ETH Zurich (Switzerland)

Published in SPIE Proceedings Vol. 7535:
Wavelet Applications in Industrial Processing VII
Frédéric Truchetet; Olivier Laligant, Editor(s)

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