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Proceedings Paper

2D hexagonal quaternion Fourier transform in color image processing
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Paper Abstract

In this paper, we present a novel concept of the quaternion discrete Fourier transform on the two-dimensional hexagonal lattice, which we call the two-dimensional hexagonal quaternion discrete Fourier transform (2-D HQDFT). The concept of the right-side 2D HQDFT is described and the left-side 2-D HQDFT is similarly considered. To calculate the transform, the image on the hexagonal lattice is described in the tensor representation when the image is presented by a set of 1-D signals, or splitting-signals which can be separately processed in the frequency domain. The 2-D HQDFT can be calculated by a set of 1-D quaternion discrete Fourier transforms (QDFT) of the splitting-signals.

Paper Details

Date Published: 20 May 2016
PDF: 13 pages
Proc. SPIE 9869, Mobile Multimedia/Image Processing, Security, and Applications 2016, 98690N (20 May 2016); doi: 10.1117/12.2223115
Show Author Affiliations
Artyom M. Grigoryan, The Univ. of Texas at San Antonio (United States)
Sos S. Agaian, The Univ. of Texas at San Antonio (United States)


Published in SPIE Proceedings Vol. 9869:
Mobile Multimedia/Image Processing, Security, and Applications 2016
Sos S. Agaian; Sabah A. Jassim, Editor(s)

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