A Higher Order Model for Image Restoration: The One-Dimensional Case

Autor:	Giovanni Leoni, Massimiliano Morini, Irene Fonseca, Gianni Dal Maso
Rok vydání:	2009
Předmět:	Well-posed problem Curvature 01 natural sciences Regularization (mathematics) staircase effect relaxation Dimension (vector space) Settore MAT/05 - Analisi Matematica 49J45 (Primary) 26A45 65K10 68U10 (Secondary) FOS: Mathematics 0101 mathematics higher order regularization image segmentation Mathematics - Optimization and Control Image restoration Mathematics total variation models curvature dependent functionals Applied Mathematics 010102 general mathematics Mathematical analysis Relaxation (iterative method) Image segmentation Term (time) 010101 applied mathematics Computational Mathematics Optimization and Control (math.OC) Analysis
Zdroj:	ResearcherID
ISSN:	1095-7154 0036-1410
DOI:	10.1137/070697823
Popis:	The one-dimensional version of the higher order total variation-based model for image restoration proposed by Chan, Marquina, and Mulet in [4] is analyzed. A suitable functional framework in which the minimization problem is well posed is being proposed and it is proved analytically that the higher order regularizing term prevents the occurrence of the staircase effect. Comment: 34 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5fa1b1b685647db563e959e5a440e0e0 https://doi.org/10.1137/070697823 Zobrazit plný text záznamu Plný text ve formátu PDF