关键词: 图像分割, Chan-Vese模型, 径向基函数, 径向基点插值法, 水平集

Abstract: The level set based Chan-Vese model is a representative geometric active contour model that has been successfully applied to a variety of image segmentation problems. To enhance the computational efficiency and the segmentation accuracy of the model, an efficient numerical algorithm is developed to solve the Chan-Vese model by using the radial basis point interpolation. By approximating the level set function with the radial basis point interpolation, the Chan-Vese model is discretized into an initial?value?problem?for?ordinary?differential?equations, which can be solved by the forward Euler’s method. This algorithm is free of grids and insensitive to initial contours, gets rid of the time-consuming re-initialization, and has a stop criterion with no presetting iteration number. Experimental results show that the algorithm segments images accurately even with no initial contour and possesses high segmentation speed.

Key words: image segmentation, Chan-Vese model, radial basis function, radial basis point interpolation, level set