Introduction to Geometric Algebra Computing

ISBN-13: 9780367571320 / Angielski / Miękka / 2020 / 194 str.

Dietmar Hildenbrand

Opis

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.

Spis treści

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

O autorze

Dietmar Hildenbrand is a lecturer in Geometric Algebra at TU Darmstadt.