Redefined Block-Lifting-Based Filter Banks With Efficient Reversible Nonexpansive Convolution
Redefined Block-Lifting-Based Filter Banks With Efficient Reversible Nonexpansive Convolution
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DOI：
10.1109/tcsvt.2018.2849101
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发表时间：
2019-05
影响因子：
8.4
通讯作者：
Taizo Suzuki;Naoki Tanaka;H. Kudo
中科院分区：
文献类型：
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作者：
Taizo Suzuki;Naoki Tanaka;H. Kudo
本文重新定义了$M$ -通道（$M\in \mathbb {N}$，$M\geq 2$）滤波器组的块提升结构，并提出了一种有效的边界可逆非扩张卷积，用于有损到无损图像编码。以前的研究留下了两个问题。一个是传统的基于提升的滤波器组（FB）被限制为具有相等的分析/合成滤波器长度。我们得到的块提升为基础的FB（BLFB）不仅具有相等的分析/合成滤波器的长度，但也比那些分析银行的合成滤波器的长度。另一个问题是，传统的基于提升的FB没有线性相位特性，如BLFB，不能实现传统的光滑非扩张卷积的边界，因为舍入误差在每个提升。我们解决了边界问题，通过使用一个有效的可逆非扩张卷积来自非扩张卷积的非线性相位带parunitariness。我们表明，重新定义的BLFB与有效的可逆非扩张卷积执行良好的有损到无损图像编码。
This paper redefines a block-lifting structure of $M$ -channel ( $M\in \mathbb {N}$ , $M\geq 2$ ) filter banks and proposes an efficient reversible nonexpansive convolution at the boundaries for lossy-to-lossless image coding. The previous studies left two problems. One is that the conventional lifting-based filter banks (FBs) are restricted to having equal analysis/synthesis filter lengths. We derive block-lifting-based FBs (BLFBs) with not only equal analysis/synthesis filter lengths but also the longer synthesis filter lengths than those of the analysis banks. The other problem is that the conventional lifting-based FBs without the linear-phase property, such as BLFBs, cannot implement the conventional smooth nonexpansive convolution at the boundaries because of the rounding error in each lifting. We solve the boundary problem by using an efficient reversible nonexpansive convolution derived from a nonexpansive convolution for nonlinear-phase FBs with paraunitariness. We show that the redefined BLFBs with the efficient reversible nonexpansive convolution perform well at lossy-to-lossless image coding.