Multi-resolution image analysis using the quaternion wavelet transform

Numerical Algorithms

Volumn 39, Issue 1-3, 2005, Pages 35-55

  Bayro Corrochano, Eduardo ^a  

^a GEOVIS Lab Ctro De Invest Y D ^*  (Mexico)

Author keywords

Disparity estimation; Image processing; Multi resolution analysis; Optical flow; Quaternion phase concept; Quaternion wavelet pyramid; Quaternion wavelets; Real and complex wavelets; Wavelet pyramid

Indexed keywords

EID: 17444391650     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11075-004-3619-8     Document Type: Article

References (14)

1. E. Bayro-Corrochano, Geometric Computing for Perception Action Systems (Springer, Boston, 2001).
2. T. Bülow, Hypercomplex spectral signal representations for the processing and analysis of images, Ph.D. thesis, Christian Albrechts University of Kiel (1999).
3. V.M. Chernov, Discrete orthogonal transforms with the data representation in composition algebras, in: Scandinavian Conference on Image Analysis, Uppsala, Sweden (1995) pp. 357-364.
4. D.J. Fleet and A.D. Jepson, Computation of component image velocity from local phase information, Internat. J. Comput. Vision 5 (1990) 77-104.
5. W.R. Hamilton, Elements of Quaternions (Longmans Green/Chelsea, London/New York, 1866/1969).
6. G. Kaiser, A Friendly Guide to Wavelets (Birkhäuser, Cambridge, MA, 1994).
7. N. Kingsbury, Image processing with complex wavelets, Phil. Trans. Roy. Soc. London Ser. A 357 (1999) 2543-2560.
8. J.-M. Lina, Complex Daubechies wavelets: Filters design and applications, in: ISAAC Conference, University of Delaware (June 1997).
9. J.F.A. Magarey and N.G. Kingsbury, Motion estimation using a complex-valued wavelet transform, IEEE Trans. Image Process. 6 (1998) 549-565.
10. S. Mallat, A theory for multiresolution signal decomposition: the wavelet representation, IEEE Trans. Pattern Anal. Machine Intell. 11(7) (1989) 674-693.
11. S. Mallat, A Wavelet Tour of Signal Processing, 2nd ed. (Academic Press, San Diego, CA, 2001).
12. M. Mitrea, Clifford Waveletes, Singular Integrals and Hardy Spaces, Lecture Notes in Mathematics, Vol. 1575 (Springer, Berlin, 1994).
13. H.-P. Pan, Uniform full information image matching complex conjugate wavelet pyramids, in: XVIII ISPRS Congress, Vol. XXXI, Viena (July 1996).
14. L. Traversoni, Image analysis using quaternion wavelet, in: Geometric Algebra in Science and Engineering Book, eds. E. Bayro Corrochano and G. Sobczyk (Springer, Berlin, 2001) chapter 16.