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	Frequency cosine transform: A bridge between gradient based frequency transform and discrete cosine transform
	Gu, Suicheng ; Tan, Ying ; He, Xingui
	2008
英文摘要	Discrete cosine transform(DCT) is one of the most powerful tools in image processing. In this paper, we show that each basis of the two dimensional discrete cosine transform(2D-DCT) is an 'eigenvector' of the frequency matrix which is used to obtain basis images of a two dimensional frequency transform(2D-FRT). We also connect the FRT and cosine transform in ID continuous model. Then, the Frequency Cosine Transform(FCT), is proposed based on the FRT and the DCT. The partial frequency cosine transform(PFCT) is given and discussed in details. It is shown that the FCT can be regarded as a special case of FRT or DCT and it is as sophisticated as the FRT and as fast as the DCT. ? 2008 IEEE.; EI; 0
语种	英语
DOI标识	10.1109/ICNNSP.2008.4590423
内容类型	其他
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/263275]
专题	信息科学技术学院
推荐引用方式 GB/T 7714	Gu, Suicheng,Tan, Ying,He, Xingui. Frequency cosine transform: A bridge between gradient based frequency transform and discrete cosine transform. 2008-01-01.

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