Amat, Sergio; Aràndiga, Francesc; Cohen, Albert; Donat, Rosa Tensor product multiresolution analysis with error control for compact image representation. (English) Zbl 0994.94001 Signal Process. 82, No. 4, 587-608 (2002). Summary: A class of multiresolution representations based on nonlinear prediction is studied in the multivariate context based on tensor product strategies. In contrast to standard linear wavelet transforms, these representations cannot be thought of as a change of basis, and the error induced by thresholding or quantizing the coefficients requires a different analysis. We propose specific error control algorithms that ensure a prescribed accuracy in various norms when performing such operations on the coefficients. These algorithms are compared with standard thresholding, for synthetic and real images. Cited in 1 ReviewCited in 41 Documents MSC: 94A08 Image processing (compression, reconstruction, etc.) in information and communication theory 68U10 Computing methodologies for image processing 68W01 General topics in the theory of algorithms Keywords:tensor product; multi-scale decomposition; nonlinearity; stability; multiresolution representations; error control algorithms PDFBibTeX XMLCite \textit{S. Amat} et al., Signal Process. 82, No. 4, 587--608 (2002; Zbl 0994.94001) Full Text: DOI