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Titlebook: Geometric Computing with Clifford Algebras; Theoretical Foundati Gerald Sommer Book 2001 Springer-Verlag Berlin Heidelberg 2001 Algebra.Alg

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樓主: Indigent
31#
發(fā)表于 2025-3-26 22:44:41 | 只看該作者
32#
發(fā)表于 2025-3-27 03:45:04 | 只看該作者
Gathering and integrating feedback,extension in multidimensional signal theory. Our future aim is to develop principles for the design of hypercomplex filters. The first method is introduced in Chap. 11, where the auaternionic Gabor filters are explored.
33#
發(fā)表于 2025-3-27 05:16:48 | 只看該作者
‘The Form of Faustus’ Fortunes’ contrast to the 1-D analytic signal we will use the quaternionic frequency domain instead of the complex Fourier domain. Based on the so defined quaternionic analytic signal [36] the instantaneous amplitude and quaternionic phase of a 2-D signal can be defined [34].
34#
發(fā)表于 2025-3-27 11:01:42 | 只看該作者
New Algebraic Tools for Classical Geometrydom-visited museum of mathematics history, in part, because they are expressed in splintered and arcane language. To make them readily accessible and useful, they need to be reexamined and integrated into a coherent mathematical system.
35#
發(fā)表于 2025-3-27 16:20:45 | 只看該作者
Commutative Hypercomplex Fourier Transforms of Multidimensional Signalsextension in multidimensional signal theory. Our future aim is to develop principles for the design of hypercomplex filters. The first method is introduced in Chap. 11, where the auaternionic Gabor filters are explored.
36#
發(fā)表于 2025-3-27 21:22:48 | 只看該作者
Local Hypercomplex Signal Representations and Applications contrast to the 1-D analytic signal we will use the quaternionic frequency domain instead of the complex Fourier domain. Based on the so defined quaternionic analytic signal [36] the instantaneous amplitude and quaternionic phase of a 2-D signal can be defined [34].
37#
發(fā)表于 2025-3-28 00:34:58 | 只看該作者
38#
發(fā)表于 2025-3-28 04:56:32 | 只看該作者
nn and Hamilton. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work
39#
發(fā)表于 2025-3-28 09:19:30 | 只看該作者
40#
發(fā)表于 2025-3-28 14:00:02 | 只看該作者
Book 2001ilton. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work outlines
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