Local quaternion Fourier transform and color image texture analysis

被引:45
作者
Assefa, Dawit [1 ]
Mansinha, Lalu [2 ]
Tiampo, Kristy F. [2 ]
Rasmussen, Henning [3 ]
Abdella, Kenzu [4 ]
机构
[1] Princess Margaret Hosp, Radiat Med Program, Dept Radiat Oncol, Toronto, ON M5G 2M9, Canada
[2] Univ Western Ontario, Dept Earth Sci, London, ON, Canada
[3] Univ Western Ontario, Dept Appl Math, London, ON, Canada
[4] Trent Univ, Dept Math, Peterborough, ON K9J 7B8, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Quaternion; Fourier; Hartley; Color image analysis; S-transform; FEATURES; SIGNAL; 1-D;
D O I
10.1016/j.sigpro.2009.11.031
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
080906 [电磁信息功能材料与结构]; 082806 [农业信息与电气工程];
摘要
Color images can be treated as two-dimensional quaternion functions. For analysis of quaternion images, a joint space-wavenumber localized quaternion S transform (QS) is presented in this study for a simultaneous determination of the local color image spectra. The QS transform uses a two-dimensional Gaussian localizing window that scales with wavenumbers. Rotation invariance, invertibility and computational aspects of the QS transform are discussed. The power map of the QS transform is presented here as a powerful tool in color image texture and pattern analysis. Examples are presented. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:1825 / 1835
页数:11
相关论文
共 64 条
[1]
[Anonymous], IEEE ICIP CHIC IL OC
[2]
[Anonymous], WAVELET TUTORIAL
[3]
[Anonymous], 1986, MCGRAW HILL SERIES E
[4]
The theory and use of the quaternion wavelet transform [J].
Bayro-Corrochano, E .
JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2006, 24 (01) :19-35
[5]
BELBACHIR AN, 2003, PRIPTR087 I COMP AID
[6]
Benco M, 2007, RADIOENGINEERING, V16, P64
[7]
MULTICHANNEL TEXTURE ANALYSIS USING LOCALIZED SPATIAL FILTERS [J].
BOVIK, AC ;
CLARK, M ;
GEISLER, WS .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1990, 12 (01) :55-73
[8]
ASSESSING THE HARTLEY TRANSFORM [J].
BRACEWELL, RN .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1990, 38 (12) :2174-2176
[9]
Bracewell RN, 1986, The hartley transform
[10]
Bulow T, 1998, INT C PATT RECOG, P808, DOI 10.1109/ICPR.1998.711271