Symmetric PH and EP distributions and their applications to the probability Hough transform

	Symmetric PH and EP distributions and their applications to the probability Hough transform
	Li, QL ; Wang, GH ; Zhou, Y
刊名	COMPUTERS & MATHEMATICS WITH APPLICATIONS
	2004-03-01
卷号	47 期号:6-7 页码:823-844
关键词	PH distribution symmetric PH distribution symmetric EP distribution orthogonal basis Laguerre polynomial computer vision pattern recognition image analysis the probability Hough transform
英文摘要	In this paper, we first introduce a symmetric phase type (PH) distribution, and then propose a symmetric exponential-polynomial type (EP) distribution based on the symmetric PH distribution. The class of symmetric EP distributions is illustrated to be so large that an arbitrary symmetric probability density function in L-2 (-infinity, +infinity), which is the space of square integrable functions on the real line, can be approximated in (-infinity, +infinity) by a sequence of symmetric EP probability density functions. We prove this result by means of a constructive approach based on two orthogonal decompositions: Laguerre spectrum decomposition and Hermite spectrum decomposition. We also provide a moment-based approach for simply determining a symmetric EP probability density function to approximatively express a symmetric random variable under which some moments of the symmetric random variable are given. We further propose multidimensional symmetric PH and EP distributions and provide their useful structures and properties. Finally, we apply the symmetric PH and EP distributions to study the probability Hough transform. (C) 2004 Elsevier Ltd. All rights reserved.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied
研究领域[WOS]	Mathematics
关键词[WOS]	PHASE-TYPE DISTRIBUTIONS ; NUMERICAL INVERSION ; LAPLACE TRANSFORMS
收录类别	SCI
语种	英语
WOS记录号	WOS:000221627900001
公开日期	2015-12-24
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/9989]
专题	自动化研究所_09年以前成果
作者单位	1.Tsing Hua Univ, Dept Ind Engn, Beijing 100084, Peoples R China 2.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada 3.Chinese Acad Sci, Natl Lab Pattern Recognit, Inst Automat, Beijing 100080, Peoples R China 4.Univ Illinois, Dept Comp Sci, Urbana, IL 61801 USA
推荐引用方式 GB/T 7714	Li, QL,Wang, GH,Zhou, Y. Symmetric PH and EP distributions and their applications to the probability Hough transform[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2004,47(6-7):823-844.
APA	Li, QL,Wang, GH,&Zhou, Y.(2004).Symmetric PH and EP distributions and their applications to the probability Hough transform.COMPUTERS & MATHEMATICS WITH APPLICATIONS,47(6-7),823-844.
MLA	Li, QL,et al."Symmetric PH and EP distributions and their applications to the probability Hough transform".COMPUTERS & MATHEMATICS WITH APPLICATIONS 47.6-7(2004):823-844.