Three-dimensional steerable discrete cosine transform with application to 3D image compression

被引：1

作者：

Lima, Verusca S. ^{[1
,2
]}

Madeiro, Francisco ^{[2
]}

Lima, Juliano B. ^{[1
]}

机构：

[1] Univ Fed Pernambuco, Dept Elect & Syst, Recife, PE, Brazil

[2] Univ Pernambuco, Polytech Sch Pernambuco, Recife, PE, Brazil

来源：

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 2021年 / 32卷 / 02期

关键词：

Signal processing on graphs; Graph Fourier transform; Discrete cosine transform; 3D image compression; TEXTURE FEATURES; MODEL; FIELD; HEVC;

D O I：

10.1007/s11045-020-00746-9

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This work introduces the three-dimensional steerable discrete cosine transform (3D-SDCT), which is obtained from the relationship between the discrete cosine transform (DCT) and the graph Fourier transform of a signal on a path graph. One employs the fact that the basis vectors of the 3D-DCT constitute a possible eigenbasis for the Laplacian of the product of such graphs. The proposed transform employs a rotated version of the 3D-DCT basis. We then evaluate the applicability of the 3D-SDCT in the field of 3D medical image compression. We consider the case where we have only one pair of rotation angles per block, rotating all the 3D-DCT basis vectors by the same pair. The obtained results show that the 3D-SDCT can be efficiently used in the referred application scenario and it outperforms the classical 3D-DCT.

引用

页码：491 / 519

页数：29

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