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A geometric model for active contours in image processing. (English) Zbl 0804.68159
Summary: We propose a new model for active contours based on a geometric partial differential equation. Our model is intrinsic, 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 engineered with no parameters in applications. Numerical experiments are presented.

68U10Image processing (computing aspects)
65D18Computer graphics, image analysis, and computational geometry
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