基于Mumford-Shah模型的图像处理

摘要

讲述了偏微分方程的基础数学理论，诸如：梯度、散度、变分定理、欧拉-拉格朗日方程等知识；然后重点介绍了Mumford-Shah模型及Ambrosio-Tortorelli的近似求解，最后进行了数值试验并展开分析。%this paper introduces some mathematic theories,such as gradient,divergence,variational theo-rem,the Euler-Lagrange equation and so on. Then we discuss the Mumford-Shah model and its approx-imation,named Ambrosio-Tortorelli model. At last we implement the model and analysis the result.