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Author Bülow, Thomas ♦ Sommer, Gerald
Source CiteSeerX
Content type Text
File Format PDF
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Quaternionic Fourier Transform ♦ Dimensional Fourier Transform ♦ Two-dimensional Phase Difference ♦ Real Signal ♦ Hartley Transform ♦ Extended Representation ♦ Special Case ♦ Dimensional Clifford Algebra ♦ Dimensional Phase Concept ♦ Dimensional Signal ♦ Multi-dimensional Signal ♦ Experimental Result ♦ Explicit Way ♦ Fourier Transform ♦ Clifford Fourier Transform ♦ Shift Theorem
Description In Proceedings of the 10th Scandinavian Conference on Image Analysis
In this article we introduce the Clifford Fourier transform (CFT) which is based on the n--dimensional Fourier transform but offers a representation of an n--dimensional signal with values in a 2 n --dimensional Clifford algebra. For n = 2 we get the special case of the quaternionic Fourier transform (QFT). The QFT provides information about the symmetry of a real signal in a more explicit way then the Fourier transform does. The QFT is related to the Fourier transform and to the Hartley transform. Based on the QFT we introduce a two--dimensional phase concept. The shift theorem is examined in terms of the QFT and experimental results concerning the estimation of the two-dimensional phase--difference of two images are presented.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 1997-01-01