CLIFFORD ALGEBRA Cl3,0-VALUED WAVELET TRANSFORMATION, CLIFFORD WAVELET UNCERTAINTY INEQUALITY AND CLIFFORD GABOR WAVELETS
作者： MAWARDI BAHRI , ECKHARD S. M. HITZER
DOI: 10.1142/S0219691307002166
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摘要: In this paper, it is shown how continuous Clifford Cl3,0-valued admissible wavelets can be constructed using the similitude group SIM(3), a subgroup of affine ℝ3. We express admissibility condition in terms Cl3,0 Fourier transform and then derive set important properties such as dilation, translation rotation covariance, reproducing kernel, show to invert wavelet multivector functions. invent generalized uncertainty principle. For scalar constant, sets bounds accuracy signal image processing. As concrete example, we introduce Gabor wavelets, describe isometry, reconstruction formula, an principle for wavelets.
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