FREQUENCY COSINE TRANSFORM: A BRIDGE BETWEEN GRADIENT BASED FREQUENCY TRANSFORM AND DISCRETE COSINE TRANSFORM

被引：0
|
作者：
Gu, Suicheng [1 ]
Tan, Ying [1 ]
He, Xingui [1 ]
机构：
[1] Peking Univ, EECS, Dept Machine Intelligence, Key Lab Machine Percept & Intelligence,Minist Edu, Beijing 100871, Peoples R China
来源：
2008 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS AND SIGNAL PROCESSING, VOLS 1 AND 2 | 2007年
关键词：
Frequency cosine transform(FCT); frequency transform(FRT); local gradient; discrete cosine transform(DCT); feature extraction; image processing; Laplacian Smoothing;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
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.
引用
收藏
页码：612 / 617
页数：6
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