消失矩和最小滤波范数小波及其在图像压缩中的应用

Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467) Pub Date : 1900-01-01 DOI:10.1109/ISSPA.2001.949787

Zhuhan Jiang, Xiling Guo

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引用次数: 4

摘要

具有最大平衡消失矩数的小波系统在包括图像和视频压缩在内的各种应用中都非常有用。J. Tian和R.O. Wells Jr(见“消失矩和双正交小波系统”，信号处理数学IV，牛津大学出版社，1997)最近创建了一组这样的小波系统，称为双正交Coifman小波，在数学和应用上都证明了它的价值。我们首先通过恢复双正交Coifman小波系统的其他“缺失”成员，提出了Tian和Wells双正交Coifman小波族的扩展。然后提出并研究了最小综合范数的小波滤波器。研究还表明，最小范数的附加特征通常会提高基于这种小波的编解码器的压缩性能。

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Wavelets of vanishing moments and minimal filter norms and the application to image compression

Wavelet systems of a maximum number of balanced vanishing moments are known to be extremely useful in a variety of applications including image and video compression. J. Tian and R.O. Wells Jr (see "Vanishing moments and biorthogonal wavelet systems", Mathematics in Signal Processing IV, Oxford University Press, 1997) recently created a family of such wavelet systems, called the biorthogonal Coifman wavelets, which proved valuable in both mathematics and applications. We first present an extension of Tian and Wells' family of biorthogonal Coifman wavelets by recovering other "missing" members of the biorthogonal Coifman wavelet systems. We then propose and study the wavelet filters of the minimal synthesis norm. It is also demonstrated that an additional feature of the minimal norm will in general improve the compression performance of the codecs based on such wavelets.

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Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467)

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