This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software and hardware tools. Topics and features: provides hands-on review exercises throughout the book, together with helpful chapter summaries; presents a concise introductory tutorial to conformal geometric algebra (CGA) in the appendices; examines the application of CGA for the description of rigid body motion, interpolation and tracking, and image processing; reviews the employment of GA in theorem proving and combinatorics; discusses the geometric algebra of lines, lower-dimensional algebras, and other alternatives to 5-dimensional CGA; proposes applications of coordinate-free methods of GA for differential geometry.... and this is guaranteed by the rotor structure, since for points represented by 4D vectors EY1 and EY2, this distance is a ... A further motivation for working in such spaces effectively comes from physics: does the notion of the dynamics of a rigid anbsp;...
|Title||:||Guide to Geometric Algebra in Practice|
|Author||:||Leo Dorst, Joan Lasenby|
|Publisher||:||Springer Science & Business Media - 2011-08-28|