Design-adapted wavelet estimator for two-dimensional tensor product irregular designs

Véronique A Delouille; Jo Simoens; Rainer von Sachs

doi:10.1117/12.505662

13 November 2003 Design-adapted wavelet estimator for two-dimensional tensor product irregular designs

Véronique A Delouille, Jo Simoens, Rainer von Sachs

Proceedings Volume 5207, Wavelets: Applications in Signal and Image Processing X; (2003) https://doi.org/10.1117/12.505662
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

Abstract

We treat nonparametric estimation of a regression function defined on a 'tensor product irregular grid,' that is, a grid constructed as the Cartesian product of two irregular one-dimensional grids. Our wavelet-type estimator is based on a wavelet transform which is the tensor product of two one-dimensional design-adapted wavelet transforms. We propose a denoising scheme and show the performance of the resulting estimator through a simulation study.

Citation Download Citation

Véronique A Delouille, Jo Simoens, and Rainer von Sachs "Design-adapted wavelet estimator for two-dimensional tensor product irregular designs", Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); https://doi.org/10.1117/12.505662

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