Orthogonal Directional Transforms using Discrete Directional Laplacian Eigen Solutions for Beyond HEVC Intra Coding

We introduce new transforms for efficient compression of image blocks with directional preferences. Each transform, which is an orthogonal basis for a specific direction, is constructed from an eigen-decomposition of a discrete directional Laplacian system matrix. The method is a natural extension o...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on image processing Vol. 29; p. 1
Main Authors Dvir, Itsik, Irony, Dror, Drezner, David, Ecker, Ady, Allouche, Amiram, Peterfreund, Natan
Format Journal Article
LanguageEnglish
Published United States IEEE 01.01.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Block codes
Cartesian coordinates
Coding
directional bases
Discrete cosine transforms
Image coding
Image compression
Laplace equations
Transform coding
Transformations (mathematics)
Two dimensional displays
video coding
Video compression
Online AccessGet full text

Cover

More Information
Summary:We introduce new transforms for efficient compression of image blocks with directional preferences. Each transform, which is an orthogonal basis for a specific direction, is constructed from an eigen-decomposition of a discrete directional Laplacian system matrix. The method is a natural extension of the DCT, expressing the Laplacian in Cartesian coordinates rotated to some predetermined angles. Symmetry properties of the transforms over square domains lead to efficient computation and compact storage of the directional transforms. A version of the directional transforms was implemented within the beyond HEVC software and demonstrated significant improvement for intra block coding.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1057-7149
1941-0042
DOI:10.1109/TIP.2020.2977863