关键词: 图像分割, 噪声, 能量泛函, 水平集, 各向异性扩散方程

Abstract: As to the problems of difficult and inaccurate in noise image segmentation, and the existing models are poor in robustness to complex noise environment. This paper proposes the noise image segmentation algorithm based on improved energy functional model, which combines anisotropic diffusion equation and level set method. Through the improvement of energy functional it can segment noise images accurately and quickly. Firstly, non-convex functional is introduced into the energy functional model, and it is proved that there is no global minimum in the energy functional model. Object outline is detected by energy functional model based on non-convex functional. Secondly, smooth images are obtained by anisotropic?diffusion model, the improved energy function model is obtained by combining the smooth images and level set model. Finally, The optimal position of the level set evolution of the foreground target is obtained by solving the minimum value in the energy functional. The experimental results show that the proposed algorithm has higher segmentation accuracy and robust for noise image than other similar models.

Key words: image segmentation, noise, energy functional, level set, anisotropic diffusion equation