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Information Sciences, ISSN 0020-0255, 10/2014, Volume 281, pp. 559 - 572
Feature analysis plays an important role in many multispectral image applications and scale invariant feature transform (SIFT) has been successfully applied... 
Geometric algebra | Feature extraction | Multispectral image | SIFT | CLIFFORD | DISCRIMINANT-ANALYSIS | COMPUTER SCIENCE, INFORMATION SYSTEMS | CLASSIFICATION | REGISTRATION | Analysis | Algebra | Algorithms | Transforms | Images | Invariants | Image detection | Genetic algorithms
Journal Article
Proceedings of the IEEE, ISSN 0018-9219, 09/2014, Volume 102, Issue 9, pp. 1340 - 1363
In this paper, we explicate the suggested benefits of Clifford's geometric algebra (GA) when applied to the field of electrical engineering. Engineers are... 
Geometry | Algebra | Quaternions | Magnetic separation | electromagnetism | geometric algebra (GA) | relativity | Mathematics | Clifford algebra | Maxwell's equations | Doppler effect | Electric fields | ENGINEERING, ELECTRICAL & ELECTRONIC | Electrical engineering | Learning curves | Problem solving | Electronics | Representations | Cases (containers)
Journal Article
2003, Graduate texts in mathematics, ISBN 0387401229, Volume 222, 453
eBook
IEEE Signal Processing Letters, ISSN 1070-9908, 06/2016, Volume 23, Issue 6, pp. 858 - 862
Journal Article
Pattern Recognition Letters, ISSN 0167-8655, 11/2019, Volume 127, pp. 11 - 17
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 07/2019, Volume 67, Issue 14, pp. 3649 - 3662
This paper reformulates adaptive filters (AFs) in the framework of geometric algebra (GA), developing a complete study of the resulting geometric-algebra... 
Three-dimensional displays | Quaternions | geometric algebra | Adaptive filtering | Cost function | Calculus | Matrices | Standards
Journal Article
IEEE Access, ISSN 2169-3536, 2019, Volume 7, pp. 71235 - 71244
Feature extraction, including feature detection and description, plays an important role in many computer vision applications. The feature extraction for... 
Computer vision | Algebra | geometric algebra (GA) | Feature extraction | Robustness | Real-time systems | Oriented fast and rotated brief (ORB) | multispectral images | Genetic algorithms | Manganese | feature extraction | PART | COMPUTER SCIENCE, INFORMATION SYSTEMS | REGISTRATION | MODEL | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2017, Volume 470, pp. 154 - 196
Journal Article
Advances in Applied Clifford Algebras, ISSN 0188-7009, 9/2019, Volume 29, Issue 4, pp. 1 - 41
We discuss an approach to gravitational waves based on Geometric Algebra and Gauge Theory Gravity. After a brief introduction to Geometric Algebra (GA), we... 
Secondary 83Dxx | 83Cxx | Theoretical, Mathematical and Computational Physics | Gravitational waves | Relativity | General relativity | 83C35 | Geometric algebra | 83C40 | Physics | Mathematical Methods in Physics | 15A66 | Clifford algebra | Primary 83-XX | Applications of Mathematics | Physics, general | MATHEMATICS, APPLIED | MEMORY | PHYSICS, MATHEMATICAL | Physicists | Algebra | Gravity
Journal Article
2003, ISBN 0521480221, Volume 9780521480222, 592
Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to... 
Electronic commerce | Information storage and retrieval systems | Congresses
Book
IEEE Access, ISSN 2169-3536, 2018, Volume 6, pp. 56575 - 56586
Spatiotemporal interest points (STIPs) are often extracted for action recognition in videos. But most of the current interest point detection methods are not... 
Optical fibers | Action recognition | Three-dimensional displays | Algebra | multi-scale space | geometric algebra (GA) | multi-channel video | Detectors | Color | Feature extraction | Videos | spatio-temporal interest points (STIPs) | SIFT | COMPUTER SCIENCE, INFORMATION SYSTEMS | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Journal of Automated Reasoning, ISSN 0168-7433, 10/2019, Volume 63, Issue 3, pp. 787 - 808
Although the theories of geometric algebra (GA) are widely applied in engineering design and analysis, the studies on their formalization have been scarcely... 
Metrics | Artificial Intelligence | Computer Science | Multivectors | Geometric algebra | Formalization | HOL Light | Symbolic and Algebraic Manipulation | Mathematical Logic and Foundations | Mathematical Logic and Formal Languages | CLIFFORD | ROBOTS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Analysis | Algebra | Design engineering
Journal Article
Electronics, ISSN 2079-9292, 01/2015, Volume 4, Issue 1, pp. 94 - 117
This paper describes advancement in color edge detection, using a dedicated Geometric Algebra (GA) co-processor implemented on an Application Specific... 
Geometric algebra | Color edge detection | Geometric algebra hardware | SUPPORT | geometric algebra | geometric algebra hardware | VECTOR-FIELDS | COPROCESSOR | color edge detection | QUATERNION | ENGINEERING, ELECTRICAL & ELECTRONIC | Algebra | Algorithms | Images | Color | Hardware | Edge detection | Channels | Genetic algorithms
Journal Article
IEEE Access, ISSN 2169-3536, 2019, Volume 7, pp. 12755 - 12767
Multispectral images can provide more faithful representations for real scenes than the traditional images and improve the performance of image restoration... 
K-GASVD | Dictionaries | Algebra | Image color analysis | Multivector | geometric algebra (GA) | Color | multispectral images | dictionary learning | Task analysis | Image reconstruction | sparse representation | FUSION | ALGORITHM | COMPUTER SCIENCE, INFORMATION SYSTEMS | TRANSFORM | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Computers, Environment and Urban Systems, ISSN 0198-9715, 09/2016, Volume 59, pp. 208 - 219
Integrating dynamic analysis models into geographic information system (GIS)-based evacuation simulations is important yet complex. Different models must be... 
GIS | Geometric algebra | Model integration | Evacuation | Spatiotemporal analysis | ROUTES | INFORMATION | MODEL | COMPUTATION | ENVIRONMENTAL STUDIES | EXPOSURE | GEOGRAPHY | Case studies | Evacuation of civilians | Algebra | Analysis | Geospatial data | Yuan (China)
Journal Article
Advances in Applied Clifford Algebras, ISSN 0188-7009, 11/2019, Volume 29, Issue 5, pp. 1 - 34
Journal Article
Mechanism and Machine Theory, ISSN 0094-114X, 10/2017, Volume 116, pp. 273 - 293
• The motions, constraints and their relations are represented in a concise form by employing the characterized geometric elements with CGA.• The mobility of... 
Parallel mechanism | Geometric algebra | Mobility | Singularity | Constraint | Kinematics | WORKSPACE | ENGINEERING, MECHANICAL | Computer programming | Analysis | Algebra
Journal Article