【作者】 孙军； 魏伟波； 赵增芳； 潘振宽；

【Author】 Sun Jun,Wei Weibo,Zhao Zengfang,Pan Zhenkuan (College of Information Engineering,Qingdao University,Qingdao 266071)

【机构】 青岛大学信息工程学院；

【摘要】 用零水平集函数表达三维曲面,用曲面上图像梯度的切投影表达其内蕴梯度,把基于梯度的图像扩散变分模型从平面图像拓展到了隐式曲面上的图像处理。但其数值差分计算复杂,且计算效率低。本文以曲面图像扩散的TV模型为例,引入Split-Bregman算法进行求解,通过引入辅助变量,交替优化子过程,并充分利用解析的软阈值公式的收缩运算,提高了计算效率。文末采用TV-L~1模型和TV-L~2模型进行了数值验证。更多还原

【Abstract】 The classic variational image diffusion models for planar image processing are extended to image diffusion on implicit surfaces using intrinsic image gradients defined on implicit surfaces expressed by zero level set functions.But it is ineffciency and complex to compute.The minimization of energy functional of the TV model is transformed to simple sub-problems of minimization to reduce computation complexity with the Split-Bregman method,and its computation efficiency is improved by means of shrinkage formulas which are soft threshold formulas.Finally, The TV-L~1 model and TV-L~2 model are implemented as examples to validate the method.更多还原