Survey of new applications of geometric algebra
Eckhard Hitzer, Manos Kamarianakis, George Papagiannakis, Petr Vašík
Abstract
This survey introduces 101 new publications on applications of Clifford's geometric algebras (GAs) newly published during 2022 (until mid‐January 2023). The selection of papers is based on a comprehensive search with Dimensions.ai, followed by detailed screening and clustering. Readers will learn about the use of GA for mathematics, computation, surface representations, geometry, image, and signal processing, computing and software, quantum computing, data processing, neural networks, medical science, physics, electric engineering, control and robotics.
Topics & Concepts
Geometric algebraComputationRoboticsAlgebra over a fieldCluster analysisArtificial neural networkSignal processingImage processingSoftwareSymbolic computationScience and engineeringMathematicsClifford algebraArtificial intelligenceComputer scienceTheoretical computer scienceAlgorithmImage (mathematics)RobotPure mathematicsEngineeringDigital signal processingEngineering ethicsProgramming languageMathematical analysisComputer hardwareAlgebraic and Geometric AnalysisDigital Image Processing TechniquesMathematical Analysis and Transform Methods