Why Lp-methods in Signal and Image Processing: A Fuzzy-Based Explanation

Authors

Fernando Cervantes, The University of Texas at El PasoFollow
Bryan E. Usevitch, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

3-2016

Comments

Technical Report: UTEP-CS-16-18

Abstract

In signal and image processing, it is often beneficial to use semi-heuristic Lp-methods, i.e., methods that minimize the sum of the p-th powers of the discrepancies. In this paper, we show that a fuzzy-based analysis of the corresponding intuitive idea leads exactly to the Lp-methods.