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We study the theories of overcomplete sparse image representation based on redundant dictionary and its application.

论文研究了基于冗余字典的超完备图像稀疏表示理论及其应用。

A system, method, and computer program product for fractal video coding, based on the circular prediction mapping in overcomplete wavelet domain.

基于过完备小波域中的循环预测映射的一种用于分形视频编码的系统、方法及计算机程序产品。

Based on the overcomplete dictionaries, it can provide the sparse representation of a given signal from the limited observations.

它以过完备词典为基础,能从有限的观测数据中获得信号的稀疏表示,有效地挖掘信号的自然属性和本质的驱动源,提高变换域的分辨率,为信号处理提供了有力的工具。

The problems of redundant dictionary construction in overcomplete sparse representation are studied. A method of multiscale Ridgelet dictionary construction is proposed.

2对超完备图像稀疏表示中冗余字典的构造问题进行研究,提出了冗余多尺度脊波字典的构造方法。

The performances of the proposed method are comparable with those of the matching pursuit. And the speed for image sparse decomposition is greatly improved. It will be help to the research of applications based on overcomplete sparse representation.

该算法在保证稀疏分解性能的同时,极大地提高了稀疏分解的速度,为基于超完备图像稀疏表示的实际应用奠定了基础。

In the nature of physics,it consists with human's cochlea filter properties;in the sense of mathematics,Bark wavelet transform is a kind of non orthonormal but overcomplete,reversible and self inverting wavelet transform.

在感知特性中,它与人耳的听觉系统是直接吻合的:在数学上,它是一种非正交的但却是超完备的,可逆且是自反演的子波变换。

Image sparse representation via combined transforms means that an image is sparsely represented by overcomplete dictionary combined by several transforms.

组合变换图像稀疏表示通过几种变换的级联来构造超完备字典,实现图像的稀疏表示。

Overcomplete sparse representation can obtain the sparsest possible representation of the object and a resolution of sparse objects that is much higher-resolution than that possible with traditional non-adaptive approaches.

完备稀疏表示能够获得最可能稀疏的图像表示,能获取比传统的非自适应方法更高分辨率的信息。

The spare decomposition method of overcomplete image sparse representation is studied. And a multi-atom matching pursuit method based on incoherent decomposition of redundant dictionary is proposed.

1对超完备图像稀疏分解算法进行了研究,提出了一种基于冗余字典非相干分解的多原子匹配追踪图像稀疏分解算法。

Supported by the National Science Foundation of China, this thesis concentrates on the image sparse representation theories, methods and the image processing applications based on sparse representation. We make deeply study for the applications based on multiscale geometry analysis, theories of overcomplete sparse image representation and its applications, theories of sparse image representation via combined transforms and its applications.

本文在国家自然科学基金项目&联合基图像稀疏表示理论研究及其应用&的资助下,针对图像稀疏表示理论、方法以及基于稀疏表示的图像处理应用问题,重点围绕多尺度几何分析在图像处理中的应用、基于冗余字典的超完备图像稀疏表示理论及应用、组合变换图像稀疏表示理论及应用等内容进行了探索性的研究。

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从鲍尔点的形成原理出发,分析对称连杆曲线上鲍尔点的产生条件,提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

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