Minimum Sobolev Norm schemes and applications in image processing

S. Chandrasekaran; K. R. Jayaraman; J. Moffitt; H. N. Mhaskar; S. Pauli

doi:10.1117/12.842734

4 February 2010 Minimum Sobolev Norm schemes and applications in image processing

S. Chandrasekaran, K. R. Jayaraman, J. Moffitt, H. N. Mhaskar, S. Pauli

Proceedings Volume 7535, Wavelet Applications in Industrial Processing VII; 753507 (2010) https://doi.org/10.1117/12.842734
Event: IS&T/SPIE Electronic Imaging, 2010, San Jose, California, United States

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.

Citation Download Citation

S. Chandrasekaran, K. R. Jayaraman, J. Moffitt, H. N. Mhaskar, and S. Pauli "Minimum Sobolev Norm schemes and applications in image processing", Proc. SPIE 7535, Wavelet Applications in Industrial Processing VII, 753507 (4 February 2010); https://doi.org/10.1117/12.842734

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