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Wedgelet分区和图像处理

Wedgelet Partitions and Image Processing
课程网址: http://videolectures.net/acs07_demaret_wpi/  
主讲教师: Laurent Demaret
开课单位: 生物数学与生物研究所
开课时间: 2007-12-10
课程语种: 英语
中文简介:
在图像处理的许多应用中,处理用于提取,分析和表示自然图像中的几何内容的有效工具是至关重要的。后者可以通过二元函数的类来建模,在由平滑边界分隔的有限数量的区域上是规则的。到目前为止,一个公认的事实是,通常的二维张量积小波基对于近似这样的类并不是最佳的。在过去的十年中,已经提出了几种方法作为补救措施。其中,四叉树结构上的楔形表示代表基于轮廓的方法,其允许有效的数字实现,同时主要捕获自然图像的几何特征。由于该方法的离散性,我们讨论了一些算法方面,从而快速计算出最优解。作为一种可能的应用,我们提出了一种基于这些方法的数字图像压缩新方案。设计有效编码方案的主要因素是考虑表示的相邻原子之间的空间冗余,相对于目标规则性类的属性。与Mattia Fedrigo,Felix Friedrich和Hartmut Fü hr合作。
课程简介: In many applications of Image Processing it is crucial to dispose of efficient tools for extraction, analysis and representation of geometrical contents in natural images. These latter can be modelled by classes of bivariate functions, regular on a finite number of regions separated by smooth boundaries. It is by now a well-established fact that the usual two-dimensional tensor product wavelet bases are not optimal for approximating such classes. In the last ten years, several methods have been suggested as a remedy. Among them, wedgelets representations over quadtree structures represent a contour-based approach which allows an efficient digital implementation while capturing mainly geometric features of natural images. We discuss some algorithmic aspects due to the discrete nature of the method, leading to a fast computation of optimal solutions. As a possible application we present a new scheme for digital image compression based on these methods. The main ingredient for the design of an efficient coding scheme is to consider spatial redundancies between neighbouring atoms of the representation, relatively to the properties of the target regularity class. Joint work with Mattia Fedrigo, Felix Friedrich and Hartmut Führ.
关 键 词: 图像处理; 二元函数; 几何特征; 编码方案
课程来源: 视频讲座网
最后编审: 2020-06-29:yumf
阅读次数: 73