由互补滤波器组生成的尺度函数和小波函数

Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380) Pub Date : 1998-10-06 DOI:10.1109/TFSA.1998.721433

M. G. Almeida

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引用次数: 5

摘要

我们提出二维(2D)互补滤波器(CF)组和用于图像处理的信号处理技术，可用于生成缩放和小波函数。二维多速率信号处理理论和互补滤波器特性是CF组设计的基础。程序设计的五边形，矩形和圆形互补滤波器的混叠自由抽取显示。CF库与小波表示相关联，并开发了一套一致的小波函数和标度函数。对于不同类型的采样，在每个分辨率级别上都可以找到尺度函数和小波函数的支持区域。由于支持区域的形状随分辨率的变化而变化，我们证明了昆克斯采样有两个母小波。给出了标度函数和小波函数的例子。

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Scaling and wavelet functions generating from complementary filter banks

We present two-dimensional (2D) complementary filter (CF) banks and a signal processing technique for image processing that can be used to generate scaling and wavelet functions. The 2D multirate signal processing theory and complementary filters properties are the base of CF banks design. Procedures to design quincunx, rectangular and circular complementary filters for alias free decimation are shown. The CF banks and wavelet representation are related and a consistent set of wavelet and scaling functions are developed. The region of support of scaling and wavelet functions can be found in each resolution level for different types of sampling. We show that quincunx sampling has two mother wavelets, since the region of support changes shape with the resolution levels. Examples of scaling and wavelet functions are shown.

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Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380)

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