000			02015nam a22002057a 4500
005			20230315095056.0
008			230311b ||||| |||| 00| 0 eng d
020			_a9780367241711
040			_cAL
041			_aeng
082			_223 _a006.6015257 _bKANU
100			_aKenichi Kanatani _975023
245			_aUnderstanding geometric algebra _bHamilton Grassmann and clifford for computer vision and graphics
260			_aNew YOrk _bCRC Press _c2015
300			_axi,192p. _bPB _c24x17cm.
365			_2General _a8197 _b₹796.00 _c₹ _d₹995.00 _e20% _f3-03-2023
520			_aUnderstanding 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, 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 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. The text focuses on Hamilton’s quaternion algebra, Grassmann’s outer product algebra, and Clifford algebra that underlies the mathematical structure of geometric algebra. It also presents points and lines in 3D as objects in 4D in the projective geometry framework; explores conformal geometry in 5D, which is the main ingredient of geometric algebra; and delves into the mathematical analysis of camera imaging geometry involving circles and spheres.With useful historical notes and exercises, this book gives readers insight into the mathematical theories behind complicated geometric computations. It helps readers understand the foundation of today’s geometric algebra.
650			_2Computing and Information _aComputer Graphics _975024
942			_2ddc _cBK
999			_c226992 _d226992