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The directional filter bank: A multirate filter bank for the directional decomposition of images.

机译:定向滤波器组:用于图像定向分解的多速率滤波器组。

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摘要

Fan filters with directional sensitivity are important in practice and have been used for processing in the areas of robotics and computer vision, seismology, image enhancement, and to some extent in image coding. Similarly, filters for subband analysis/synthesis which allow a two-dimensional input signal to be represented by a sum of maximally decimated subband images and then reconstructed from these decimated images are also of great importance for image processing, primarily in the area of image coding. In the past, much attention has been devoted to one-dimensional decimated filter banks and methods of reconstruction from the decimated channels. More recently, reconstruction methods for two-dimensional filter banks have received a great deal of attention. In these methods, the constituent filter banks are lowpass, bandpass, and highpass filters. Maximum decimation and directional sensitivity are clearly useful filter bank properties and to date have only been treated separately. This thesis presents a new two-dimensional filter bank which explicitly combines these two properties. The new filter bank decomposes images into directional components which can be maximally decimated while still allowing the original image to be exactly reconstructed from its decimated channels.;First, this thesis relates several concepts from the geometry of numbers to the theory of multidimensional signals and systems. These relationships allow for multidimensional upsampling and downsampling to be conveniently described. Based on this development of multidimensional multirate systems, the geometrical aspects of designing multidimensional filter banks are discussed in depth. The required analysis/synthesis filters for the directional filter bank are designed from one-dimensional prototypes. The main design methodology used in the thesis, design via change of variables, yields filters which can be implemented in a computationally efficient, rectangularly-separable polyphase form.;In addition to investigating the theory and design of the directional filter bank, applications of this new filter bank are also investigated. In particular, the directional filter bank is used as a part of an orientation analysis tool. The orientation analysis then governs feature detection and enhancement algorithms for applications such as the automated detection of cell boundaries in biomedical images and the automated enhancement of fingerprints. The use of the directional filter bank in building subband image coding systems which attempt to exploit the directional sensitivity of the human visual system are also investigated.
机译:具有方向敏感性的风扇过滤器在实践中很重要,已被用于机器人技术和计算机视觉,地震学,图像增强以及图像编码方面的处理。类似地,子带分析/合成滤波器允许二维输入信号由最大抽取后的子带图像之和表示,然后从这些抽取后的图像中重建,这对于图像处理也非常重要,主要是在图像编码领域。过去,一维抽取滤波器组和从抽取通道重构的方法已引起了广泛关注。最近,用于二维滤波器组的重构方法已经引起了广泛的关注。在这些方法中,组成的滤波器组是低通,带通和高通滤波器。最大抽取和方向灵敏度显然是有用的滤波器组属性,迄今为止,仅单独进行了处理。本文提出了一个新的二维滤波器组,它明确地结合了这两个属性。新的滤波器组将图像分解为方向分量,可以最大程度地进行抽取,同时仍然允许从抽取的通道中精确地重建原始图像。首先,本论文将数几何的几个概念与多维信号和系统理论相关联。这些关系使得可以方便地描述多维上采样和下采样。基于多维多速率系统的这种发展,深入讨论了设计多维滤波器组的几何方面。定向滤波器组所需的分析/综合滤波器是从一维原型设计的。本论文中使用的主要设计方法是通过变量的更改进行设计,从而产生可以以计算有效的,矩形可分离的多相形式实现的滤波器。除了研究定向滤波器组的理论和设计之外,该方法的应用还研究了新的过滤器组。特别地,定向滤波器组被用作定向分析工具的一部分。然后,方向分析将控制用于应用程序的特征检测和增强算法,例如自动检测生物医学图像中的细胞边界和自动增强指纹。还研究了定向滤波器组在构建子带图像编码系统中的使用,该系统试图利用人类视觉系统的定向灵敏度。

著录项

  • 作者

    Bamberger, Roberto Hugo.;

  • 作者单位

    Georgia Institute of Technology.;

  • 授予单位 Georgia Institute of Technology.;
  • 学科 Mathematics.;Engineering Electronics and Electrical.
  • 学位 Ph.D.
  • 年度 1990
  • 页码 187 p.
  • 总页数 187
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 数学;无线电电子学、电信技术;
  • 关键词

  • 入库时间 2022-08-17 11:50:28

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