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Current survey of Clifford geometric algebra applications

Eckhard Hitzer, Carlile Lavor, Dietmar Hildenbrand

2022Mathematical Methods in the Applied Sciences36 citationsDOI

Abstract

We extensively survey applications of Clifford Geometric algebra in recent years (mainly 2019–2022). This includes engineering; electric engineering; optical fibers; geographic information systems; geometry; molecular geometry; protein structure; neural networks; artificial intelligence; encryption; physics; signal, image, and video processing; and software.

Topics & Concepts

Geometric algebraClifford algebraAlgebra over a fieldArtificial neural networkSoftwareEncryptionMultivectorUniversal geometric algebraSIGNAL (programming language)Signal processingMathematicsComputer scienceGeometryTheoretical computer scienceArtificial intelligencePure mathematicsAlgebra representationDigital signal processingComputer hardwareJordan algebraOperating systemProgramming languageAlgebraic and Geometric AnalysisDigital Image Processing TechniquesMathematical Analysis and Transform Methods
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