Adaptive Image Reconstruction Using Information Measures

We present a class of nonlinear adaptive image restoration filters which may be steered to preserve sharp edges and contrasts in the restorations. From a theoretical point of view we discuss the associated variational problems and prove existence of solutions in certain Sobolev spaces W1,p or in a BV -space. The degree of regularity of the solution may be understood as a mathematical explanation of the heuristic properties of the designed filters. Key words. adaptive image restoration filter, image restoration, variational methods AMS subject classifications. 49J52, 49N15, 94A17 PII. S0363012997324338

• Type: Journal
• Year: 2000
• Where: SIAMCO
• Authors: Ulrike Hermann, Dominikus Noll
• Keywords: Adaptive Image Restoration, Associated Variational Problems, Image Restoration, SIAMCO 2000