Hamilton--jacobi equations

A high-order scheme for image segmentation via a modified level-set method

In this paper, we propose a high-order accurate scheme for image segmentation based on the levelset method. In this approach, the curve evolution is described as the 0-level set of a representation function, but we modify the velocity that drives the curve to the boundary of the object in order to obtain a new velocity with additional properties that are extremely useful to develop a more stable high-order approximation with a small additional cost.

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