| 偏微分方程在生物医学图像分析中的应用 |
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| 引用本文： | 王利生,徐宗本.偏微分方程在生物医学图像分析中的应用[J].工程数学学报,2004,21(4):475-490. |
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| 作者姓名： | 王利生 徐宗本 |
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| 作者单位： | 上海交通大学自动化系,上海,200030;西安交通大学理学院应用数学中心及信息与系统科学研究所,西安,710049;西安交通大学理学院应用数学中心及信息与系统科学研究所,西安,710049 |
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| 基金项目： | 国家自然科学基金(10371097) |
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| 摘 要： | 基于偏微分方程的图像处理技术是最近十多年在图像处理与分析领域得到快速发展的一类新的图像处理技术。该类技术一定程度上克服了经典的图像处理技术难以处理的某些困难问题，因此成为图像处理领域的一个研究热点，并在生物医学图像的分析中得到广泛的应用。本文拟通过对该类技术在生物医学图像分析中的应用的介绍，对基于偏微分方程的图像处理技术的主要发展过程、研究现状、技术特点、应用等诸方面做一个简单综述。
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| 关 键 词： | 偏微分方程 图像处理 生物医学图像分析 变分法 |
| 文章编号： | 1005-3085(2004)04-0475-16 |
| 修稿时间： | 2004年3月16日 |
Review on PDE-based Image Processing Techniques and Their Applications in Biomedical Images Analysis |
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| WANG Li-sheng,XU Zong-ben.Review on PDE-based Image Processing Techniques and Their Applications in Biomedical Images Analysis[J].Chinese Journal of Engineering Mathematics,2004,21(4):475-490. |
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| Authors: | WANG Li-sheng XU Zong-ben |
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| Affiliation: | WANG Li-sheng,XU Zong-ben Department of Automation,Shanghai Jiaotong University,Shanghai 200030 Research Centre of Applied Mathematics & Institute for Information and System Science,School of Science,Xi'an Jiaotong University,Xi'an 710049 |
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| Abstract: | PDE-based image processing techniques are a class of new image processing techniques,
rapidly developed in image processing and analysis area in recent ten years. In many aspects of image
processing, such as image smoothing, image restoration, edge extraction, image segmentation, etc, they
greatly improve traditional image processing techniques. Thus, they have become an active research
topics in image processing and been widely applied in biomedical images analysis. In this paper, through
introducing various applications of PDE-based image processing techniques in biomedical images anal-
ysis, we present a review and analysis on the PDE-based image techniques and their applications in
biomedical image analysis. |
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| Keywords: | partial differential equation image processing biomedical image analysis variational method |
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