A shape-derivative approach to some PDE model in image restoration
Carla Baroncini, Julian Fernandez Bonder
TL;DR
This paper investigates the shape derivative of a cost functional used in image restoration, providing insights into how shape optimization can improve PDE-based image processing methods.
Contribution
It introduces a shape-derivative approach to analyze PDE models in image restoration, offering a novel mathematical framework for optimization.
Findings
Derived explicit formulas for shape derivatives in PDE models
Enhanced understanding of shape optimization in image restoration
Potential for improved restoration algorithms
Abstract
In this paper we analyze the shape derivative of a cost functional appearing in image restoration.
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Taxonomy
TopicsNumerical methods in inverse problems · Advanced Numerical Analysis Techniques · Mathematical Biology Tumor Growth