Combining the Calculus of Variations and Wavelets for Image Enhancement

Abstract We propose methods of both slow and rapid post-processing of signals for erasure of artifacts that arise in the process of thresholding and quantization. We use wavelets as tools to define constraints and variational functionals as measures of complexity of signals. The methods come from analyses of different possibilities of blending variational calculus and wavelet multiresolution in ways that appear to be natural.