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

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

2007-10-03

arxiv.org/abs/0710.0736v1

Computer Science

Computer Vision and Pattern Recognition

17 pages, 9 figures

Scientific paper

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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