摘要: This paper is concerned with the simulation of partial differential equation driven evolution a closed surface by means an implicit representation. In most applications, natural choice for representation signed distance function to surface. Osher and Sethian have proposed evolve Hamilton?Jacobi equation. Unfortunately solution this not function. As consequence, practical application level set method plagued such questions as When do we reinitialize function? How function?, which reveal disagreement between theory its implementation. proposes alternative use equations eliminates contradiction: in our always remains construction, implementation does differ from anymore. achieved through introduction new Besides theoretical advantages, also has several advantages demonstrate three applications: (i) segmentation human cortex surfaces MRI images using two coupled (X. Zeng, et al., Proceedings International Conference on Computer Vision Pattern Recognition, June 1998), (ii) construction hierarchy Euclidean skeletons 3D surface, (iii) reconstruction objects stereo (O. Faugeras R. Keriven, Lecture Notes Science, Vol. 1252, pp. 272?283).
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