| 图像分辨率增强的偏微分方程方法 |
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| 引用本文： | 谢美华,王正明. 图像分辨率增强的偏微分方程方法[J]. 遥感学报, 2005, 9(6): 673-679 |
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| 作者姓名： | 谢美华 王正明 |
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| 作者单位： | 国防科技大学,信息系统与管理学院系统工程研究所,湖南,长沙,410073 |
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| 基金项目： | 国家自然科学基金(项目号:60272013)，全国优秀博士论文作者专项基金(项目号:200140) |
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| 摘 要： | 讨论一种新的图像分辨率增强的偏微分方程模型。新模型利用图像为分片连续的二维曲面的先验信息,采用非线性扩散方程对基于最近邻方法放大后的图像进行光滑以消除因放大引起的“块状”效应,同时在迭代过程中加入插值条件使处理后的图像能较好的保留边缘,由此构造出基于偏微分方程的图像分辨率增强模型和相应的迭代算法,使图像的分辨率增强到亚像元级。遥感图像的仿真计算结果表明,该方法具有比现有方法更高的峰值信噪比和更高的边缘保护指数。
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| 关 键 词： | 分辨率增强 插值 偏微分方程 超分辨 遥感 |
| 文章编号： | 1007-4619(2005)06-0673-07 |
| 收稿时间： | 2004-06-04 |
| 修稿时间： | 2004-11-03 |
The Partial Differential Equation Method for Image Resolution Enhancement |
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| XIE Mei-hua and WANG Zheng-ming. The Partial Differential Equation Method for Image Resolution Enhancement[J]. Journal of Remote Sensing, 2005, 9(6): 673-679 |
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| Authors: | XIE Mei-hua and WANG Zheng-ming |
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| Affiliation: | System Engineering Institute, National University of Defense Technology, Hunan Changsha 410073, China |
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| Abstract: | This paper discusses a new partial differential equation model for resolution enhancement of image.This model adapts the prior information of piecewise continuity of image to construct a nonlinear diffusion model,which is used to smooth an enlarged image by nearest interpolation to reduce the blocky effect caused by enlargement,simultaneity,and interpolation condition is added into the iterated process to avoid a too smooth image.The algorithm is tested by three remote sensing images,all of the results show that the new model has higher peak signal to noise ratio and higher edge preserve index than the known methods. |
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| Keywords: | resolution enhancement interpolation partial differential equation remote sensing |
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