多维离散信号的最优逼近及其应用

Conference Record of The Thirtieth Asilomar Conference on Signals, Systems and Computers Pub Date : 1996-11-03 DOI:10.1109/ACSSC.1996.601067

W. Lu

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引用次数: 0

摘要

本文给出了多维(m-D)离散信号的一般逼近问题的解析解。该解在frobenius -范数意义上是最优的，并且包含了众所周知的基于奇异值分解(SVD)的近似作为m=2的特殊情况。讨论了算法实现中涉及的计算问题以及算法在图像和视频编码中的潜在应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Optimal approximation of multidimensional discrete signals with applications

This paper presents an analytical solution to a general approximation problem for multidimensional (m-D) discrete signals. The solution is optimal in the Frobenius-norm sense and includes the well known singular value decomposition (SVD) based approximation as a special case with m=2. Computational issues involved in the algorithm implementation as well as potential applications of the algorithm to image and video coding are discussed.

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Conference Record of The Thirtieth Asilomar Conference on Signals, Systems and Computers

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