| A VARIATIONAL IMAGE SMOOTHING MODEL WITH GLOBAL CONVERGENCE |
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| 作者姓名： | WangGui GuanZhicheng |
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| 作者单位： | Dept.ofMath.,ZhejiangUniv.,Hangzhou310027,China. |
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| 基金项目： | the National Natural Science Foundation of China( 1 9871 0 77) |
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| 摘 要： | A new smoothing method is proposed. The smoothing process adapts to image characteristics and is good at preserving local image structures. More importantly, in the theory under the conditions weaker than those in the original Kacanov method an approximal sequence of solutions to the variational problems can be constructed and the global convergence can be proved. And the conditions in the papers of Schn6rr(1994) and Heers, et al (2001) are discussed. Numerical solutions of the model are given.
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| 关 键 词： | 偏微分方程 变量图像光滑模型 整体收敛 能量函数 边界条件 |
| 收稿时间： | 1 July 2003 |
A variational image smoothing model with global convergence |
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| WangGui GuanZhicheng.A VARIATIONAL IMAGE SMOOTHING MODEL WITH GLOBAL CONVERGENCE[J].Applied Mathematics A Journal of Chinese Universities,2004,19(4):381-389. |
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| Authors: | Wang Gui Guan Zhicheng |
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| Institution: | (1) Dept. of Math., Zhejiang Univ., 310027 Hangzhou, China |
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| Abstract: | A new smoothing method is proposed. The smoothing process adapts to image characteristics and is good at preserving local image structures. More importantly, in the theory under the conditions weaker than those in the original Ka?anov method an approximal sequence of solutions to the variational problems can be constructed and the global convergence can be proved. And the conditions in the papers of Schnö rr (1994) and Heers, et al (2001) are discussed. Numerical solutions of the model are given. |
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| Keywords: | Kaanov method variational problem smoothing global convergence |
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