This book provides a starting point for the understanding of Geometric Algebra in a 2D setting as a foundation for the understanding of 3D applications, especially those using the very popular Conformal Geometric Algebra. The focus is on an algebra, called Compass Ruler Algebra.
This book provides a starting point for the understanding of Geometric Algebra in a 2D setting as a foundation for the understanding of 3D applications, especially those using the very popular Conformal Geometric Algebra. The focus is on an algebra, called Compass Ruler Algebra.
Dietmar Hildenbrand is a lecturer in Geometric Algebra at TU Darmstadt.
Inhaltsangabe
1 Introduction I Tutorial 2 Compass Ruler Algebra in a Nutshell 3 GAALOP Tutorial for Compass Ruler Algebra II Mathematical Foundations 4 Mathematical Basics and 2D Euclidean Geometric Algebra 5 Compass Ruler Algebra and its Geometric Objects 6 Intersections in Compass Ruler Algebra 7 Distances and Angles in Compass Ruler Algebra 8 Transformations of Objects in Compass Ruler Algebra III Applications 9 Robot Kinematics using GAALOP 10 Detection of Circles and Lines in Images using GAALOP 11 Visibility Application in 2D using GAALOP 12 RuntimePerformance using GAALOP 13 Fitting of Lines or Circles into Sets of Points 14 CRAbased Robotic Snake Control 15 Expansion to 3D Computations IV Geometric Algebra at School 16 Geometric Algebra for Mathematical Education 17 SpaceTime Algebra in School and Application
1 Introduction I Tutorial 2 Compass Ruler Algebra in a Nutshell 3 GAALOP Tutorial for Compass Ruler Algebra II Mathematical Foundations 4 Mathematical Basics and 2D Euclidean Geometric Algebra 5 Compass Ruler Algebra and its Geometric Objects 6 Intersections in Compass Ruler Algebra 7 Distances and Angles in Compass Ruler Algebra 8 Transformations of Objects in Compass Ruler Algebra III Applications 9 Robot Kinematics using GAALOP 10 Detection of Circles and Lines in Images using GAALOP 11 Visibility Application in 2D using GAALOP 12 RuntimePerformance using GAALOP 13 Fitting of Lines or Circles into Sets of Points 14 CRAbased Robotic Snake Control 15 Expansion to 3D Computations IV Geometric Algebra at School 16 Geometric Algebra for Mathematical Education 17 SpaceTime Algebra in School and Application
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