Classifying the smoothness of images: theory and applications to wavelet image processing
Ronald DeVore, Bradley J. Lucier · 2002
Devore, Jawerth, and Lucier (1992) introduced a definition of the smoothness of images that is directly related to the performance of wavelet compression schemes. The present authors survey previous results on the equivalence between smoothness, rate of decay of the wavelet coefficients, and efficiency of wavelet compression techniques applied to images. They report on other applications including deciding how many pixel quantization intervals are needed to preserve smoothness, and the fast solution of variational problems that arise naturally in several areas of image processing.>