引用本文:潘琪,罗笑南,朱继武.基于学习的局部几何相似性的医学图像放大.软件学报,2009,20(5):1146-1155
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基于学习的局部几何相似性的医学图像放大
潘琪1,2, 罗笑南1,2, 朱继武3
1.中山大学 信息科学与技术学院,广东 广州 510275;2.教育部数字家庭重点实验室(中山大学),广东 广州 510275;3.广东药学院 医药商学院,广东 广州 510006
摘要:
图像放大技术是医学图像处理中的重要领域.医学图像细节丰富处经常呈现出明显的几何结构特征或模式,如边缘.提出了一种基于学习的方法,将低分辨率图像块作为可用的邻域像素并提取其几何特征信息组成训练集,与高分辨率图像块之间建立局部对应关系,这种对应关系即为局部几何相似性.将训练集信息有效传递至待重建高分辨率图像块,图像放大的问题转化为重建系数的最优化问题,并且基于非局部平均思想,将其进而转化为加权最小二乘问题得到正则化解.实验结果表明,本方法不仅可以进行任意倍图像放大,且它可以摆脱一般方法对训练集合的依赖,具有较好的独立性,自适应性和边缘保持特性.
关键词:  图像放大  几何相似性  边缘保护  任意倍放大  非局部平均
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基金项目:Supported by the National Natural Science Foundation of China under Grant Nos.60525213 (国家自然科学基金); the National Science Fund for Distinguished Young Scholars of China under Grant No.U0735001 (国家杰出青年科学基金-广东联合基金); the National Basic Research Program of China under Grant No.2006CB303106 (国家重点基础研究发展计划(973)); the Cultivation Fund of the Key Scientific and Technical Innovation Project of Ministry of Education of China under Grant No.706045 (国家教育部科技创新工程重大项目); the Research Fund for the Doctoral Program of Higher Education of China under Grant No.20060558078 (国家教育部博士点基金)
Learning-Based Medical Image Magnification Algorithm by Local Geometric Similarity
PAN Qi,LUO Xiao-Nan,ZHU Ji-Wu
Abstract:
Image magnification is an important technology in medical image processing. High detail areas in medical images most often have a definite geometric structure or pattern, such as in the case of edges. This paper proposes a learning-based method. Geometric features extracted from the available neighboring pixels in the Low-resolution (LR) image form the training set. Assuming the training set is locally corresponding to geometric features from the High-resolution (HR) image patch to be reconstructed. Local geometric similarity is described as the correspondence. The task of image magnification is formulated as an optimization problem, where the optimization coefficients can adaptively tune its value to effectively propagating the features from the training set to the target HR image patch. The advantages are the ability to produce a magnified image by any factor, and not require any outlier supporters. A Weighted Least Square (WLS) method is provided to offer a convenient way of finding the regularized optimal solution, where the weight function is determined by the non-local means. Simulation and comparison results show that the proposed method is independent, adaptive and can produce sharp edges with rare ringing or jaggy artifacts.
Key words:  image magnification  local geometric similarity  arbitrary factor  non-local means

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