一类非线性抛物方程粘性解的存在唯一性及其在图像中的应用

Existence and Uniqueness of Viscosity Solution for Nonlinear Parabolic Equation and its Application to Image Processing

对近年来在图像平滑问题中出现的模型进行了改进,得到一类非线性抛物方程,并系统地证明了该类方程粘性解的存在唯一性,最后用实验验证了这种新模型可以在去除图像噪声的同时,保持边界角点特征。

To improve the model recently presented in image smoothing, a type of nonlinear parabolic equation was acquired. The existence and uniqueness of the viscosity .solution of the equation were proved systematically. Then rome applications of the new model to image processing and edge detection were indicated.