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Abstract: In the present work hypercomplex spectral methods of the processing and analysis of images are introduced. The thesis is divided into three main chapters. First the quaternionic Fourier transform (QFT) for 2D signals is presented and its main properties are investigated. The QFT is closely related to the 2D Fourier transform and to the 2D Hartley transform. Similarities and differences of these three transforms are investigated with special emphasis on the symmetry properties. The Clifford... (Update)
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BibTeX entry: (Update)
Th. Bulow. Hypercomplex Spectral Signal Representations for Image Processing and Analysis. PhD thesis, University of Kiel, 1999. to appear. http://citeseer.ist.psu.edu/bulow99hypercomplex.html More
@misc{ bulow99hypercomplex,
author = "T. Bulow",
title = "Hypercomplex Spectral Signal Representations for Image Processing and Analysis",
text = "Th. Bulow. Hypercomplex Spectral Signal Representations for Image Processing
and Analysis. PhD thesis, University of Kiel, 1999. to appear.",
year = "1999",
url = "citeseer.ist.psu.edu/bulow99hypercomplex.html" }
Citations (may not include all citations):15 Fundamental limits of linear filters in the visual processin.. (context) - Zetzsche, Barth - 1990
14 Image matching using the windowed Fourier phase (context) - Weng - 1993
6 the classification of image features (context) - Venkatesh, Owens - 1990
4 Digital subtraction radiography in assessing bone changes in.. (context) - Wenzel, Warrer et al. - 1992
4 Pattern Analysis and Machine Intelligence (context) - Wilson, Granlund et al. - 1984
3 Uncertainty and inference in the visual system (context) - Wilson, Knutsson - 1988
1 Optical Hartley transforms (context) - Villasenor - 1994
1 Local energy and pre-envelope (context) - Venkatesh, Cooper et al. - 1995
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