Volume 15, Issue 2 (June 2019)
IJEEE 2019, 15(2): 182-188 |
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Clifford Algebra’s Geometric Product Properties in Image-Processing and its Efficient Implementation
Abstract: (3311 Views)
Clifford Algebra (CA) is an effective substitute for classic algebra as the modern generation of mathematics. However, massive computational loads of CA-based algorithms have hindered its practical usage in the past decades. Nowadays, due to magnificent developments in computational architectures and systems, CA framework plays a vital role in the intuitive description of many scientific issues. Geometric Product is the most important CA operator, which created a novel perspective on image processing problems. In this work, Geometric Product and its properties are discussed precisely, and it is used for image partitioning as a straightforward instance. Efficient implementation of CA operators needs a specialized structure, therefore a hardware architecture is proposed that achieves 25x speed-up in comparison to the software approach.
Keywords: Clifford Algebra , Image Processing Visualization , Geometric Product , Hardware Implementation
Type of Study: Research Paper |
Subject:
Image Processing
Received: 2018/07/17 | Revised: 2019/04/07 | Accepted: 2018/08/26
Received: 2018/07/17 | Revised: 2019/04/07 | Accepted: 2018/08/26
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