On the geometry and the deformation of shape represented by a piecewise continuous Bézier curve with application to shape optimization

Olivier Ruatta

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arXiv · 1302.4188

On the geometry and the deformation of shape represented by a piecewise continuous Bézier curve with application to shape optimization

Olivier Ruatta

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Abstract

In this work, we develop a framework based on piecewize Bézier curves to plane shapes deformation and we apply it to shape optimization problems. We describe a general setting and some general result to reduce the study of a shape optimization problem to a finite dimensional problem of integration of a special type of vector field. We show a practical problem where this approach leads to efficient algorithms.

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BibTeX RIS

Olivier Ruatta. 2013-02-18. On the geometry and the deformation of shape represented by a piecewise continuous Bézier curve with application to shape optimization. https://arxiv.org/abs/1302.4188

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