Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics Kanatani Kenichi
Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics Kanatani Kenichi Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer…
Specifikacia Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics Kanatani Kenichi
Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics Kanatani Kenichi
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 starts with 3D Euclidean geometry along with discussions as to how the descriptions of geometry could be altered if using a non-orthogonal (oblique) coordinate system. It shows how to describe and compute geometry for 3D modeling applications in computer graphics and computer vision.Unlike similar texts, this book first gives separate descriptions of the various algebras and then explains how they are combined to define the field of geometric algebra.
It also presents The text focuses on Hamilton's quaternion algebra, Grassmann's outer product algebra, and Clifford algebra that underlies the mathematical structure of geometric algebra.