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Open AccessArticle

A Geometric Algebra Co-Processor for Color Edge Detection

VLSI & Embedded Research Lab, DA-IICT, Gandhinagar 382 007, India
Electronics and Computer Science, University of Southampton, Highfield Campus, Southampton SO17 1BJ, UK
Author to whom correspondence should be addressed.
Academic Editor: Ignacio Bravo-Muñoz
Electronics 2015, 4(1), 94-117;
Received: 19 November 2014 / Revised: 16 December 2014 / Accepted: 7 January 2015 / Published: 26 January 2015
This paper describes advancement in color edge detection, using a dedicated Geometric Algebra (GA) co-processor implemented on an Application Specific Integrated Circuit (ASIC). GA provides a rich set of geometric operations, giving the advantage that many signal and image processing operations become straightforward and the algorithms intuitive to design. The use of GA allows images to be represented with the three R, G, B color channels defined as a single entity, rather than separate quantities. A novel custom ASIC is proposed and fabricated that directly targets GA operations and results in significant performance improvement for color edge detection. Use of the hardware described in this paper also shows that the convolution operation with the rotor masks within GA belongs to a class of linear vector filters and can be applied to image or speech signals. The contribution of the proposed approach has been demonstrated by implementing three different types of edge detection schemes on the proposed hardware. The overall performance gains using the proposed GA Co-Processor over existing software approaches are more than 3.2× faster than GAIGEN and more than 2800× faster than GABLE. The performance of the fabricated GA co-processor is approximately an order of magnitude faster than previously published results for hardware implementations. View Full-Text
Keywords: geometric algebra; color edge detection; geometric algebra hardware geometric algebra; color edge detection; geometric algebra hardware
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MDPI and ACS Style

Mishra, B.; Wilson, P.; Wilcock, R. A Geometric Algebra Co-Processor for Color Edge Detection. Electronics 2015, 4, 94-117.

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