Image Decomposition Using Nonconvex Functional
This paper proposes a new model for image decomposition by nonconvex functional minimization. Instead of using the Banach norm as the fidelity term, we use the integral of the square of residual component divided by its gradient as the fidelity term. This nonconves fidelity term has very low value for the texture image and high value for the geometric image, so it is appropriate for image decomposition. The gradient descent procedure is used to solve the proposed minimization problem, which leads to evolve a new nonlinear second-order partial differential equation to steady state. The experimental results demonstrate the proposed model makes visual improvements compared with the classical OSV model, which includes that the cartoon component has less texture and the texture component has less cartoon information.
image decomposition total variation minimization functional minimization nonconvex functional
Jian Bai Xiang-Chu Feng
dept. of mathematics Xidian University Xian, China
国际会议
2011 4th International Congress on Image and Signal Processing(第四届图像与信号处理国际学术会议 CISP 2011)
上海
英文
704-707
2011-10-15(万方平台首次上网日期,不代表论文的发表时间)