Wavelet Kalman based reconstruction

A. David
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引用次数: 2

Abstract

The analysis and synthesis operations of commonly used families of the discrete wavelet transform (DWT) are modeled within the framework of an ordinary Kalman filter (KF). In particular, the synthesis operation is regarded as the state evolution from a coarse subspace to a finer one. The analysis operation is considered as a partially observable process. It is shown that such descriptions provide for a natural and compact representation of the underlying signals. Extensions to image reconstruction and compression applications are demonstrated.
基于小波卡尔曼的重构
在普通卡尔曼滤波器的框架内对离散小波变换(DWT)常用族的分析和综合操作进行了建模。特别地,综合操作被看作是从粗的子空间到细的子空间的状态演化。分析操作被认为是部分可观察的过程。结果表明,这种描述提供了底层信号的自然而紧凑的表示。扩展图像重建和压缩应用程序演示。
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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