Stabilization and optimization of PLUS factorization and its application   in image coding

doi:10.1016/j.jvcir.2010.09.006

CORC > 北京大学 > 信息科学技术学院

	Stabilization and optimization of PLUS factorization and its application in image coding
	Yang, Lei ; Hao, Pengwei ; Wu, Dapeng
刊名	journal of visual communication and image representation
	2011
关键词	PLUS factorization Stable algorithm Optimization Transform coding Image compression Integer reversible transform Lapped Transform Discrete cosine transform Lifting factorization EVERY UNIT MATRIX LIFTING STEPS TRANSFORM DCT
DOI	10.1016/j.jvcir.2010.09.006
英文摘要	A recently developed PLUS factorization holds great promise in image coding due to its simplicity and integer reversibility. However, existing PLUS factorizations did not consider stability and optimality. To address these problems, we propose methodologies to design stable and optimal PLUS factorization algorithms. Firstly, we propose three stable PLUS factorization algorithms, prove the stability theorem under no perturbation and analyze stability under perturbation. Furthermore, we obtain a closed-form formula for transform error, and use the formula to design an algorithm for optimal PLUS factorization. Then, we apply the PLUS factorization to image coding. The integer DCTs implemented with the optimal PLUS factorizations found by our algorithms outperform the integer DCT with expansion factors in terms of entropy. The optimal PLUS factorizations are superior to the lifting factorization in JPEG-XR. The experimental results agree with analytical results of PLUS factorization, and show superior performance of our algorithms in image coding. (C) 2010 Elsevier Inc. All rights reserved.; Computer Science, Information Systems; Computer Science, Software Engineering; SCI(E); EI; 1; ARTICLE; 1,SI; 9-22; 22
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/240207]
专题	信息科学技术学院
推荐引用方式 GB/T 7714	Yang, Lei,Hao, Pengwei,Wu, Dapeng. Stabilization and optimization of PLUS factorization and its application in image coding[J]. journal of visual communication and image representation,2011.
APA	Yang, Lei,Hao, Pengwei,&Wu, Dapeng.(2011).Stabilization and optimization of PLUS factorization and its application in image coding.journal of visual communication and image representation.
MLA	Yang, Lei,et al."Stabilization and optimization of PLUS factorization and its application in image coding".journal of visual communication and image representation (2011).