Summary.We propose a new model for active contours based on a geometric partial differential equation. Our model is intrinsec, stable (satisfies the maximum principle) and permits a rigorous mathematical analysis. It enables us to extract smooth shapes (we cannot retrieve angles) and it can be adapted to find several contours simultaneously. Moreover, as a consequence of the stability, we can design robust algorithms which can be engineed with no parameters in applications. Numerical experiments are presented.Mathematics Subject Classification (1991): 49F22, 53A 10, 82A60, 76T05, 49A50, 80A15, 40F10
We introduce in this paper a discrete scheme using a morphological image processing approach. After briejly presenting the axiomatic approach of image processing and the mean curvature motion PDE, the properties of the proposed scheme are studied. We show that this morphological scheme performs mean curvature evolution on a gray level image. ,Then we notice that the same scheme can be applied to forms. To conclude we present experimental results.
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