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arXiv · 0710.0736

Colour image segmentation by the vector-valued Allen-Cahn phase-field model: a multigrid solution

David A Kay·Alessandro Tomasi
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Abstract

We propose a new method for the numerical solution of a PDE-driven model for colour image segmentation and give numerical examples of the results. The method combines the vector-valued Allen-Cahn phase field equation with initial data fitting terms. This method is known to be closely related to the Mumford-Shah problem and the level set segmentation by Chan and Vese. Our numerical solution is performed using a multigrid splitting of a finite element space, thereby producing an efficient and robust method for the segmentation of large images.

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David A Kay, Alessandro Tomasi. 2007-10-03. Colour image segmentation by the vector-valued Allen-Cahn phase-field model: a multigrid solution. https://doi.org/10.1109/tip.2009.2026678

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