Adaptive multivariate piecewise polynomial approximation

Shai Dekel; Dany Leviatan

doi:10.1117/12.503961

13 November 2003 Adaptive multivariate piecewise polynomial approximation

Shai Dekel, Dany Leviatan

Proceedings Volume 5207, Wavelets: Applications in Signal and Image Processing X; (2003) https://doi.org/10.1117/12.503961
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

We survey some recent results in the theory of multivariate piecewise polynomial approximation. In the univariate case this method is equivalent to Wavelet approximation, but in the multivariate case this is no longer true, since this form of approximation is more adaptive to the geometry of the singularities of the function to be approximated. The theory possibly has applications in image compression.

Citation Download Citation

Shai Dekel and Dany Leviatan "Adaptive multivariate piecewise polynomial approximation", Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); https://doi.org/10.1117/12.503961

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