Name
Abstract | ||
|---|---|---|
Presented here is a description and analysis of the N-point sparse discrete cosine transform (SDCT), where N is a power of two, which retains all of the properties of the parent DCT such as linearity, energy compaction, and having a fast transform implementation, while allowing arbitrarily-many known zeros, i.e., masked elements, in the input. It has application to image and video compression in that arbitrarily shaped regions may be transformed by the two-dimensional (2D) SDCT with approximately the same resulting compression efficiency as the standard 2D DCT applied to square blocks. The solution is based on a systematic application of symmetry and additive symmetry to the input elements. The four- and eight-point solutions are presented first, with emphasis on development of a set of generating matrices, and finally a general N-point solution is described. The 8 x 8 SDCT was implemented in VP9 and as expected the transform was found to be perfect and also improved compression efficiency for video objects with a known mask. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/PCS.2013.6737670 | 2013 PICTURE CODING SYMPOSIUM (PCS) |
Keywords | Field | DocType |
video object coding, discrete cosine transform, sparse, arbitrary shape | Lapped transform,Modified discrete cosine transform,Computer science,Matrix (mathematics),Discrete cosine transform,Transform coding,Theoretical computer science,Discrete sine transform,Data compression,Image compression | Conference |
ISSN | Citations | PageRank |
2330-7935 | 0 | 0.34 |
References | Authors | |
9 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gregory W. Cook | 1 | 37 | 5.46 |
| Ton Kalker | 2 | 1203 | 140.78 |