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一种方向选择性正交重叠变换。

An orientation-selective orthogonal lapped transform.

作者信息

Kunz Dietmar

机构信息

Institute of Media and Imagin Technology, Cologne University of Applied Sciences, Cologne, Germany.

出版信息

IEEE Trans Image Process. 2008 Aug;17(8):1313-22. doi: 10.1109/TIP.2008.926160.

Abstract

A novel critically sampled orientation-selective orthogonal lapped transform called the lapped Hartley transform (LHT) is derived. In a first step, overlapping basis functions are generated by modulating basis functions of a 2-D block Hartley transform by a cosine wave. To achieve invertibility and orthogonality, an iterative filter is applied as prefilter in the analysis and as postfilter in the synthesis operation, respectively. Alternatively, filtering can be restricted to analysis or synthesis, ending up with a biorthogonal transform (LHT-PR, LHT-PO). A statistical analysis based on a 4000-image data base shows that the LHT and LHT-PO have better redundancy removal properties than other block or lapped transforms. Finally, image compression and noise removal examples are given, showing the advantages of the LHT especially in images containing oriented textures.

摘要

一种名为重叠哈特利变换(LHT)的新型临界采样方向选择性正交重叠变换被推导出来。第一步,通过用余弦波调制二维块哈特利变换的基函数来生成重叠基函数。为了实现可逆性和正交性,分别在分析中应用迭代滤波器作为预滤波器,在合成操作中作为后滤波器。或者,可以将滤波限制在分析或合成中,最终得到双正交变换(LHT-PR,LHT-PO)。基于4000幅图像数据库的统计分析表明,LHT和LHT-PO比其他块变换或重叠变换具有更好的冗余去除特性。最后,给出了图像压缩和去噪的例子,展示了LHT的优势,特别是在包含定向纹理的图像中。

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