Structures and Irregularities in Image Processing and Analysis: Discrepancy Norm, Distance Transform and Analytic Representations

This book explores novel representations and comparison tools for analyzing structures and irregularities in signals and images. In opposition to most methods, the ideas introduced here work at the pixel-level. Structures and irregularities are studied using approaches that stem from discrepancy theory, functional analysis and potential theory, and low-level signal processing. In particular we show that structure enhancing similarity measures or representations have advantages over usual tools for image comparison and analysis.