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首页> 外文会议>Conference on Image Processing: Algorithms and Systems III; 20040119-20040121; San Jose,CA; US >THE FAST PARAMETRIC SLANTLET TRANSFORM WITH APPLICATIONS
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THE FAST PARAMETRIC SLANTLET TRANSFORM WITH APPLICATIONS

机译：快速参数化甩尾变换及其应用

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摘要

Transform methods have played an important role in signal and image processing applications. Recently, Selesnick has constructed the new orthogonal discrete wavelet transform, called the slantlet wavelet, with two zero moments and with improved time localization. The discrete slantlet wavelet transform is carried out by an existing filterbank which lacks a tree structure and has a complexity problem. The slantlet wavelet has been successfully applied in compression and denoising. In this paper, we present a new class of orthogonal parametric fast Haar slantlet transform system where the slantlet wavelet and Haar transforms are special cases of it. We propose designing the slantlet wavelet transform using Haar slantlet transform matrix. A new class of parametric filterbanks is developed. The behavior of the parametric Haar slantlet transforms in signal and image denoising is presented. We show that the new technique performs better than the slantlet wavelet transform in denoising for piecewise constant signals. We also show that the parametric Haar slantlet transform performs better man the cosine and Fourier transforms for grey level images.
机译：变换方法在信号和图像处理应用中发挥了重要作用。最近，Selesnick用两个零矩和改进的时间定位构造了一种新的正交离散小波变换，称为slantlet小波。离散的小波小波变换由缺少树结构并且存在复杂性问题的现有滤波器组来执行。斜小波已经成功地应用于压缩和去噪。在本文中，我们提出了一种新的正交参数快速Haar slantlet变换系统，其中slantlet小波和Haar变换是它的特例。我们建议使用Haar slantlet变换矩阵设计slantlet小波变换。开发了一类新的参数滤波器组。提出了参数Haar slantlet变换在信号和图像去噪中的行为。我们表明，该新技术在分段恒定信号的去噪方面比slantlet小波变换要好。我们还表明，对于灰度图像，参数Haar slantlet变换在余弦和傅里叶变换方面表现更好。

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