用 M 通道重叠变换压缩的图像的快速降尺度逆变换。

Fast downscaled inverses for images compressed with M-channel lapped transforms.

机构信息

Xerox Corp., Webster, NY.

出版信息

IEEE Trans Image Process. 1997;6(6):794-807. doi: 10.1109/83.585231.

Abstract

Compressed images may be decompressed and displayed or printed using different devices at different resolutions. Full decompression and rescaling in space domain is a very expensive method. We studied downscaled inverses where the image is decompressed partially, and a reduced inverse transform is used to recover the image. In this fashion, fewer transform coefficients are used and the synthesis process is simplified. We studied the design of fast inverses, for a given forward transform. General solutions are presented for M-channel finite impulse response (FIR) filterbanks, of which block and lapped transforms are a subset. Designs of faster inverses are presented for popular block and lapped transforms.

摘要

压缩的图像可以使用不同分辨率的不同设备进行解压和显示或打印。在空间域中完全解压和重缩放是一种非常昂贵的方法。我们研究了降采样的逆变换，其中图像部分解压，并且使用简化的逆变换来恢复图像。这样，使用的变换系数更少，合成过程也更简单。我们研究了给定前向变换的快速逆变换的设计。给出了多通道有限脉冲响应（FIR）滤波器组的通用解，其中块变换和重叠变换是其子集。针对流行的块变换和重叠变换，提出了更快的逆变换设计。