Color Edge Detection Hardware based on Geometric Algebra.
Color Edge Detection Hardware based on Geometric Algebra.
Modern techniques treat color images as separate monochrome images for processing. Partly, because there is no straightforward generalization of linear filters available for color. However the algorithms yield more accurate results when the correlation among color bands are exploited which shows fundamental difference to process the color images. Earlier work[8] reported the transformation of the color images using Quaternion Fourier Transforms and the realization of a holistic filter based on Quaternion convolution. Here, we discuss the rotor based convolution techniques, a generalization of the previous work, within a new mathematical framework in Geometric Algebra. Based thereupon, a novel hardware architecture is proposed. Experiments show the edge detection with this technique belong to a class of linear vector filter and is holistic in nature. It is tailored for image processing applications, providing an acceptable application performance requirements. The usefulness of the introduced approach was demonstrated by analyzing and implementing a computation intensive edge detection algorithm on this hardware.
Geometric Algebra, Color Edge detection, Rotor Convolution, Hardware
Mishra, Biswajit
07cc7afc-c1ce-4ed7-bf5d-caddbbfd1dbb
Wilson, Peter
8a65c092-c197-4f43-b8fc-e12977783cb3
2006
Mishra, Biswajit
07cc7afc-c1ce-4ed7-bf5d-caddbbfd1dbb
Wilson, Peter
8a65c092-c197-4f43-b8fc-e12977783cb3
Mishra, Biswajit and Wilson, Peter
(2006)
Color Edge Detection Hardware based on Geometric Algebra.
The 2nd Institution of Engineering and Technology Multimedia Conference 2006, London, United Kingdom.
29 - 30 Nov 2006.
Record type:
Conference or Workshop Item
(Poster)
Abstract
Modern techniques treat color images as separate monochrome images for processing. Partly, because there is no straightforward generalization of linear filters available for color. However the algorithms yield more accurate results when the correlation among color bands are exploited which shows fundamental difference to process the color images. Earlier work[8] reported the transformation of the color images using Quaternion Fourier Transforms and the realization of a holistic filter based on Quaternion convolution. Here, we discuss the rotor based convolution techniques, a generalization of the previous work, within a new mathematical framework in Geometric Algebra. Based thereupon, a novel hardware architecture is proposed. Experiments show the edge detection with this technique belong to a class of linear vector filter and is holistic in nature. It is tailored for image processing applications, providing an acceptable application performance requirements. The usefulness of the introduced approach was demonstrated by analyzing and implementing a computation intensive edge detection algorithm on this hardware.
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Published date: 2006
Additional Information:
Event Dates: 29-30 Nov 2006
Venue - Dates:
The 2nd Institution of Engineering and Technology Multimedia Conference 2006, London, United Kingdom, 2006-11-29 - 2006-11-30
Keywords:
Geometric Algebra, Color Edge detection, Rotor Convolution, Hardware
Organisations:
EEE
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Local EPrints ID: 263188
URI: http://eprints.soton.ac.uk/id/eprint/263188
PURE UUID: e1f5121b-2fe1-44fc-b012-e31595bc970e
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Date deposited: 16 Nov 2006
Last modified: 14 Mar 2024 07:26
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Contributors
Author:
Biswajit Mishra
Author:
Peter Wilson
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