Local quaternion Fourier transform and color image texture analysis

Authors:
Dawit Assefa;Lalu Mansinha;Kristy F. Tiampo;Henning Rasmussen;Kenzu Abdella
Affiliations:
Radiation Medicine Program, Princess Margaret Hospital, Department of Radiation Oncology, 610 University Ave, Rm. 5-612 Toronto, Ontario, Canada M5G 2M9;University of Western Ontario, Department of Earth Sciences, London, Ontario, Canada;University of Western Ontario, Department of Earth Sciences, London, Ontario, Canada;University of Western Ontario, Department of Applied Mathematics, London, Ontario, Canada;Trent University, Department of Mathematics, Peterborough, Ontario, Canada
Venue:
Signal Processing
Year:
2010

Citing 22
Cited 2

The Hartley transform

The Hartley transform
Multichannel Texture Analysis Using Localized Spatial Filters

IEEE Transactions on Pattern Analysis and Machine Intelligence
A commutative hypercomplex algebra with associated function theory

Clifford algebras with numeric and symbolic computations
Image Processing with Complex Daubechies Wavelets

Journal of Mathematical Imaging and Vision
Commutative hypercomplex Fourier transforms of multidimensional signals

Geometric computing with Clifford algebras
Fast algorithms of hypercomplex Fourier transforms

Geometric computing with Clifford algebras
Multi-Dimensional Signal Processin Using an Algebraically Extended Signal Representation

AFPAC '97 Proceedings of the International Workshop on Algebraic Frames for the Perception-Action Cycle
Hurwitzion Algebra and Its Application to the FFT Synthesis

AFPAC '00 Proceedings of the Second International Workshop on Algebraic Frames for the Perception-Action Cycle
Some FFT-like algorithms for RGB-spectra calculation

Machine Graphics & Vision International Journal - Special issue on latest results in colour image processing and applications
Classification of color textures by Gabor filtering

Machine Graphics & Vision International Journal - Special issue on latest results in colour image processing and applications
Quaternion Gabor Filters for Local Structure Classification

ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 1 - Volume 1
Color texture measurement and segmentation

Signal Processing - Special section on content-based image and video retrieval
The Theory and Use of the Quaternion Wavelet Transform

Journal of Mathematical Imaging and Vision
Spatial and spectral quaternionic approaches for colour images

Computer Vision and Image Understanding
Quaternion color texture segmentation

Computer Vision and Image Understanding
Commutative reduced biquaternions and their Fourier transform for signal and image processing applications

IEEE Transactions on Signal Processing
Efficient implementation of quaternion Fourier transform,convolution, and correlation by 2-D complex FFT

IEEE Transactions on Signal Processing
Hypercomplex signals-a novel extension of the analytic signal tothe multidimensional case

IEEE Transactions on Signal Processing
Fast Complexified Quaternion Fourier Transform

IEEE Transactions on Signal Processing
Comparison of texture features based on Gabor filters

IEEE Transactions on Image Processing
Hypercomplex Fourier Transforms of Color Images

IEEE Transactions on Image Processing
Coherent Multiscale Image Processing Using Dual-Tree Quaternion Wavelets

IEEE Transactions on Image Processing

The trinion Fourier transform of color images

Signal Processing
Quaternion Zernike moments and their invariants for color image analysis and object recognition

Signal Processing

Quantified Score

Hi-index	0.08

Visualization

Abstract

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.