Stable Evaluation of Differential Operators and Linear and Nonlinear Multi-scale Filtering

Date

1997-09-10

Authors

Scherzer, Otmar

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

Diffusion processes create multi--scale analyses, which enable the generation of simplified pictures, where for increasing scale the image gets sketchier. In many practical applications the ``scaled image'' can be characterized via a variational formulation as the solution of a minimization problem involving unbounded operators. These unbounded operators can be evaluated by regularization techniques. We show that the theory of stable evaluation of unbounded operators can be applied to efficiently solve these minimization problems.

Description

Keywords

Nondifferntiable optimization problems, Regularization, Inverse problems, Image reconstruction, Bounded variation norm

Citation

Scherzer, O. (1997). Stable evaluation of differential operators and linear and nonlinear multi-scale filtering. Electronic Journal of Differential Equations, 1997(15), pp. 1-12.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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