Shape-preserving wavelet approximation: state of the art and ongoing research

Lubomir Dechevsky

doi:10.1117/12.752676

2 October 2007 Shape-preserving wavelet approximation: state of the art and ongoing research

Lubomir Dechevsky

Proceedings Volume 6763, Wavelet Applications in Industrial Processing V; 67630X (2007) https://doi.org/10.1117/12.752676
Event: Optics East, 2007, Boston, MA, United States

Abstract

We present an overview of results obtained in the last 10-15 years in the field of constrained deterministic approximation and constrained statistical estimation of non-parametric regression functions, cumulative distribution functions and densities. The case of deterministic approximation follows from the case of statistical estimation of non-parametric regression when the noise variance is zero. Many unpublished results are announced here for the first time.

Citation Download Citation

Lubomir Dechevsky "Shape-preserving wavelet approximation: state of the art and ongoing research", Proc. SPIE 6763, Wavelet Applications in Industrial Processing V, 67630X (2 October 2007); https://doi.org/10.1117/12.752676

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