2D hexagonal quaternion Fourier transform in color image processing

Artyom M. Grigoryan; Sos S. Agaian

doi:10.1117/12.2223115

20 May 2016 2D hexagonal quaternion Fourier transform in color image processing

Artyom M. Grigoryan; Sos S. Agaian

Author Affiliations +

Proceedings Volume 9869, Mobile Multimedia/Image Processing, Security, and Applications 2016; 98690N (2016) https://doi.org/10.1117/12.2223115
Event: SPIE Commercial + Scientific Sensing and Imaging, 2016, Baltimore, Maryland, United States

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.

Citation Download Citation

Artyom M. Grigoryan, Artyom M. Grigoryan, Sos S. Agaian, Sos S. Agaian, } "2D hexagonal quaternion Fourier transform in color image processing", Proc. SPIE 9869, Mobile Multimedia/Image Processing, Security, and Applications 2016, 98690N (20 May 2016); doi: 10.1117/12.2223115; https://doi.org/10.1117/12.2223115

ACCESS THE FULL ARTICLE

PERSONAL SIGN IN
Full access may be available with your subscription

Email or Username Forgot your username?

Password Forgot your password?

Show

Remember Email/Username on this computer

Remember Password

No SPIE account? Create an account
or Institutional Sign In via Shibboleth

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $14.40

Non-members: $18.00 ADD TO CART

Show All Keywords

Keywords/Phrases

Search In:

Publication Years