Intrinsic Image Segmentation on a Riemannian Manifold

Jinsong Fan, Ling Pi · Huadong Shifan Daxue xuebao. Ziran kexue ban · 2007

An image segmentation model based on the view of Riemannian Geometry was proposed.Endowed with a Riemannian metric derived from the gray scale information of a given image,the image space became a Riemannian manifold.On this Riemannian manifold,we evolved a curve by the mean curvature flow using the level set methods. Because the gray scale information had been embedded into the Riemannian manifold, the evolution was intrinsic.Calculations show that the method is an extension of existing models;furthermore,finer controls for the evolution can be achieved.Numerical experiments show the effectivity and some good features of the proposed method.

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