Guide to Geometric Algebra in Practice

Guide to Geometric Algebra in Practice

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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.... positioning in the Euclidean space. An MGRE is set as a combination of elementary geometrical objects: Point, Line and Plane. TTRS Theory has been adopted by ISO TC213 and successfully implemented in the CATIA v5 CAD system toanbsp;...

Title:Guide to Geometric Algebra in Practice
Author:Leo Dorst, Joan Lasenby
Publisher:Springer Science & Business Media - 2011-08-28


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