Variational framework for flow optimization using seminorm constraints

Multiobjective optimization problem with variational inequality constraints

We study a general multiobjective optimization problem with variational inequality, equality, inequality and abstract constraints. Fritz John type necessary optimality conditions involving Mordukhovich coderivatives are derived. They lead to Kuhn-Tucker type necessary optimality conditions under additional constraint qualifications including the calmness condition, the error bound constraint qu...

Sensitivity Analysis for Optimization Problems with Variational Inequality Constraints

Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints

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A Variational Shape Optimization Framework for Image Segmentation

Title of dissertation: A VARIATIONAL SHAPE OPTIMIZATION FRAMEWORK FOR IMAGE SEGMENTATION Günay Doǧan Doctor of Philosophy, 2006 Dissertation directed by: Professor Ricardo H. Nochetto Department of Mathematics Image segmentation is one of the fundamental problems in image processing. The goal is to partition a given image into regions that are uniform with respect to some image features and pos...

Visibility Optimization Using Variational Approaches

Constructing the visible and invisible regions of an observer due to the presence of obstacles in the environment has played a central role in many applications. It can also be a first step. In this paper, we adopt a visibility algorithm that can produce a variety of general information to handle the optimization of visibility information. Through the use of level set tools, gradient flow, fini...