ABSTRACT

Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics introduces geometric algebra with an emphasis on the background mathematics of Hamilton, Grassmann, and Clifford. It shows how to describe and compute geometry for 3D modeling applications in computer graphics and computer vision.Unlike similar texts

chapter 1|4 pages

Introduction

chapter 2|24 pages

3D Euclidean Geometry

chapter 3|14 pages

Oblique Coordinate Systems

chapter 4|12 pages

Hamilton’s Quaternion Algebra

chapter 5|22 pages

Grassmann’s Outer Product Algebra

chapter 6|18 pages

Geometric Product and Clifford Algebra