Estimation of self-similar Gaussian fields using wavelet transform

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 数学物理与应用研究部

	Estimation of self-similar Gaussian fields using wavelet transform
	Wu, Liang 1,2; Ding, Yiming 3
刊名	INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING
	2015-11-01
卷号	13 期号:6
关键词	Hyperbolic wavelet transform self-similarity Hurst parameters Gaussian fields
英文摘要	We propose an estimator (H) over cap for the Hurst parameters H = (H-1,..., H-d) of fractional Brownian sheet (FBS), which plays an important role in modeling anisotropic self-similar Gaussian fields. The proposed estimator is based on the stationarity and scale invariance of hyperbolic wavelet coefficients of FBS and the weighted least squares. We use simulated fields to validate the proposed estimator. The estimator performs well in both the standard deviation and the root mean square error.
WOS标题词	Science & Technology ; Technology ; Physical Sciences
类目[WOS]	Computer Science, Software Engineering ; Mathematics, Interdisciplinary Applications
研究领域[WOS]	Computer Science ; Mathematics
关键词[WOS]	TEXTURE ANALYSIS ; MODELS
收录类别	SCI
语种	英语
WOS记录号	WOS:000367521500003
公开日期	2016-03-01
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/9110]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Key Lab Magnet Resonance Biol Syst, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Wu, Liang,Ding, Yiming. Estimation of self-similar Gaussian fields using wavelet transform[J]. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING,2015,13(6).
APA	Wu, Liang,&Ding, Yiming.(2015).Estimation of self-similar Gaussian fields using wavelet transform.INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING,13(6).
MLA	Wu, Liang,et al."Estimation of self-similar Gaussian fields using wavelet transform".INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING 13.6(2015).