Multiscale representation of surfaces by tight wavelet frames with applications to denoising
The paper is concerned with tight wavelet frame multiscale representation for triangular and quadrilateral surfaces. An analysis based surface denoising model for both surfaces has been studied as an application of such representation. Fast numerical algorithms also have been introduced due to the nonlinearity of tight wavelet frame transforms on surfaces. The proposed tight wavelet frame systems are selfdual which is not sensitive to perturbations of the coefficients and has very short support and desirable symmetry. The results are refinement of some results studied in [\textit{Q. Jiang} and \textit{D. K. Pounds}, Appl. Comput. Harmon. Anal. 31, No. 3, 370--391 (2011; Zbl 1238.42018)].
scientific article; zbMATH DE number 6618052
scientific article