Two-dimensional wreath product group-based image processing

Richard Foote; Gagan Mirchandani; Daniel Rockmore

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Two-dimensional wreath product group-based image processing

机译：基于二维花圈产品组的图像处理

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摘要

A theoretical foundation to the notion of 2D transform and 2D signal processing is given, focusing on 2D group-based transforms, of which the 2D Haar and 2D Fourier transforms are particular instances. Conditions for separability of these transforms are established. The theory is applied to certain groups that are wreath products of cyclic groups to give separable and inseparable 2D wreath product transforms and their filter bank implementations.

机译：给出了2D变换和2D信号处理概念的理论基础，重点放在基于2D组的变换上，其中2D Haar和2D Fourier变换是特定实例。建立了这些变换的可分离性条件。该理论适用于某些作为循环组的花圈产品的组，以提供可分离且不可分离的2D花圈产品变换及其过滤器组实现。

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来源
《urnal of Symbolic Computation》 |2004年第2期|p.187-207|共21页
作者
Richard Foote; Gagan Mirchandani; Daniel Rockmore;
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作者单位

Department of Mathematics and Statistics, University of Vermont, Burlington VT 05405, USA;

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原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
image processing; 2D; transform;

机译：图像处理;二维;变换;

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专利

1. A wreath product group approach to signal and image processing .II. Convolution, correlation, and applications [J] . Mirchandani G., Foote R. IEEE Transactions on Signal Processing . 2000,第3期

机译：花圈产品组方法进行信号和图像处理。卷积，相关和应用
2. A wreath product group approach to signal and image processing .I. Multiresolution analysis [J] . Foote R., Mirchandani G. IEEE Transactions on Signal Processing . 2000,第1期

机译：花圈产品组的信号和图像处理方法多分辨率分析
3. Application of two-dimensional crystallography and image processing to atomic resolution Z-contrast images. [J] . Morgan DG, Ramasse QM, Browning ND Journal of Electron Microscopy . 2009,第3期

机译：二维晶体学和图像处理在原子分辨率Z对比图像中的应用。
4. Wreath product cyclic group-based convolution: a new class of noncommutative filters [C] . Mirchandani, G., Foote, . 2000

机译：花圈产品基于循环组的卷积：一类新的非交换滤波器
5. REAL-TIME PROCESSING OF INFRARED IMAGES: ENHANCEMENT AND TARGET DETECTION (TWO-DIMENSIONAL, FFT). [D] . DEVORE, JOHN JACOB. 1984

机译：红外图像的实时处理：增强和目标检测（二维，FFT）。
6. Joint pre-processing framework for two-dimensional gel electrophoresis images based on nonlinear filtering background correction and normalization techniques [O] . Manuel Mauricio Goez, Maria C. Torres-Madronero, Sarah Rothlisberger, 2020

机译：基于非线性滤波背景校正和归一化技术的二维凝胶电泳图像的联合预处理框架
7. Two-dimensional wreath product group-based image processing [O] . Foote Richard, Mirchandani Gagan, Rockmore Daniel 2004

机译：基于二维花圈产品组的图像处理
8. Data Processing and First Products from the Hyperspectral Imager for the Coastal Ocean (HICO) on the International Space Station [R] . 2010

机译：来自国际空间站沿海海洋高光谱成像仪（HICO）的数据处理和首批产品

Two-dimensional wreath product group-based image processing

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