Abstract:In the field of image segmentation, the image segmentation approach based on discrete level set can not accurately segment an image with low SNR value, and the speed of image segmentation is lower. In order to solve these problems, an alternative approach is proposed based on continuous level-set. The level-set function is modeled as a continuous parametric function using the line combination of two-dimension Lagrange basis. The difference equation is derived by minimizing the energy formulation for image segmentation. As a consequence, the minimization of the energy formulation is directly obtained in term of the Lagrange coefficient. The fast segmentation of image with low SNR value is implemented by the numerical solution of the coefficient difference equation that is solved by simple finite-difference methods. Experimental results demonstrate that the proposed approach can gain better perfect effect.