TY - BOOK AU - Dorst,Leo AU - Fontijne,Daniel AU - Mann,Stephen TI - Geometric Algebra for Computer Science: An Object-oriented Approach to Geometry T2 - Morgan Kaufmann series in computer graphics SN - 0123694655 AV - QA564 .D67 2007 U1 - 006.60151257 22 PY - 2007/// CY - Amsterdam, San Francisco PB - Elsevier, Morgan Kaufmann KW - Geometry, Algebraic KW - Computer science KW - Mathematics KW - Object-oriented methods (Computer science) KW - Géométrie algébrique KW - Informatique KW - Mathématiques KW - Approche orientée objet (Informatique) KW - Geometrische algebra KW - gtt KW - Clifford-Algebra KW - swd KW - Computergraphik KW - Geometrische Algebra KW - Information KW - Objektorientierte Programmierung KW - Einführung N1 - Includes bibliographical references (p. 609-612) and index; Why geometric algebra? -- Spanning oriented subspaces -- Metric products of subspaces -- Linear transformations of subspaces -- Intersection and union of subspaces -- The fundamental product of geometric algebra -- Orthogonal transformations as versors -- Geometric differentiation -- Modeling geometries -- The vector space model : the algebra of directions -- The homogeneous model -- Applications of the homogeneous model -- The conformal model : operational Euclidean geometry -- New primitives for Euclidean geometry -- Constructions in Euclidean geometry -- Conformal operations -- Operational models for geometries -- Implementation issues -- Basis blades and operations -- The linear products and operations -- Fundamental algorithms for nonlinear products -- Specializing the structure for efficiency -- Using the geometry in a ray-tracing application -- Metrics and null vectors -- Contractions and other inner products -- Subspace products retrieved -- Common equations UR - http://www.loc.gov/catdir/enhancements/fy1011/2010481601-d.html ER -