Color edge detection hardware based on geometric algebra

B. Mishra, P. Wilson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

16 Citations (Scopus)

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.
Original languageEnglish
Title of host publication3rd European Conference on Visual Media Production (CVMP), 2006
PublisherIET
Pages115-121
ISBN (Print)9780863417290
Publication statusPublished - 2006
EventCVMP 2006. 3rd European Conference on Visual Media Production - London
Duration: 29 Nov 200630 Nov 2006

Conference

ConferenceCVMP 2006. 3rd European Conference on Visual Media Production
CityLondon
Period29/11/0630/11/06

Fingerprint

Edge detection
Algebra
Color
Hardware
Convolution
Fourier transforms
Image processing
Rotors
Processing
Experiments

Keywords

  • Geometric Algebra, Color Edge detection, Rotor Convolution, Hardware

Cite this

Mishra, B., & Wilson, P. (2006). Color edge detection hardware based on geometric algebra. In 3rd European Conference on Visual Media Production (CVMP), 2006 (pp. 115-121). IET.

Color edge detection hardware based on geometric algebra. / Mishra, B.; Wilson, P.

3rd European Conference on Visual Media Production (CVMP), 2006. IET, 2006. p. 115-121.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mishra, B & Wilson, P 2006, Color edge detection hardware based on geometric algebra. in 3rd European Conference on Visual Media Production (CVMP), 2006. IET, pp. 115-121, CVMP 2006. 3rd European Conference on Visual Media Production, London, 29/11/06.
Mishra B, Wilson P. Color edge detection hardware based on geometric algebra. In 3rd European Conference on Visual Media Production (CVMP), 2006. IET. 2006. p. 115-121
Mishra, B. ; Wilson, P. / Color edge detection hardware based on geometric algebra. 3rd European Conference on Visual Media Production (CVMP), 2006. IET, 2006. pp. 115-121
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