摘要
用零水平集函数表达曲面,应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图像。首先基于变分水平集方法推导了隐式曲面上图像非线性扩散的通用模型,作为特例,研究了曲面上Charbonnier模型、广义TV模型、PM模型的图像噪声去除能力,并通过数值实验验证了这些模型向前、向后扩散及在边缘保持、边缘增强等方面的能力。根据图像修复与图像扩散的联系,将上述模型推广到了图像修复,并通过数值实验进行验证。
The classic variational image diffusion models were extended to image diffusion on implicit surfaces by means of intrinsic image gradients defined on implicit surface expressed by zero level set function.A generic variational level set model for nonlinear image diffusion on implicit surface was presented and implemented using Charbonnier model,generalized TV model,and PM model.Some numerical examples were given to show their capabilities of forward/backward diffusion and edge preserving/enhancement.Finally,the models presented in this paper were used to image inpainting on implicit surface.
出处
《计算机应用》
CSCD
北大核心
2008年第S2期158-160,167,共4页
journal of Computer Applications
基金
教育部新世纪优秀人才支持计划项目
关键词
变分水平集
隐式曲面
图像扩散
图像去噪
图像修复
variational level set
implicit surface
image diffusion
image denoising
image inpainting
