03241cam a22006257a 4500 7803 7803 16341703 OSt 20210721151913.0 100720s2007 caua b 001 0 eng d 2010481601 GBA738347 bnb GBA930046 bnb 014-93707 bnb GBA-93004 bnb 013662058 Uk 014937077 Uk 0123694655 9780123694652 9780123749420 (hbk.) 0123749425 (hbk.) (OCoLC)ocn132691969 VYF VYF UKM BAKER IXA YDXCP BTCTA FNP MUQ NLGGC OKU DEBBG GBVCP DLC lccopycat QA564 .D67 2007 006.60151257 22 31.51 bcl ST 231 rvk Dorst, Leo, 1958- Geometric Algebra for Computer Science : An Object-oriented Approach to Geometry / Leo Dorst, Daniel Fontijne, Stephen Mann. Amsterdam : Elsevier ; San Francisco : Morgan Kaufmann, 2007. xxxv, 626 p. : ill. (some col.) ; 24 cm. Morgan Kaufmann series in computer graphics 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. Geometry, Algebraic. Computer science Mathematics. Object-oriented methods (Computer science) Géométrie algébrique. Informatique Mathématiques. Approche orientée objet (Informatique) Geometrische algebra gtt Clifford-Algebra. swd Computergraphik. swd Geometrische Algebra. swd Information. swd Objektorientierte Programmierung. swd Einführung. swd Fontijne, Daniel. Mann, Stephen, 1963- Morgan Kaufman series in computer graphics and geometric modeling. Publisher description http://www.loc.gov/catdir/enhancements/fy1011/2010481601-d.html 7 cbc copycat 2 ncip 20 y-gencatlg lcc BOOK 0 0 lcc 0 0 001 001 2020-03-14 donation from ku 0 QA564 .D67 2007 2020-2694 2020-03-14 00:00:00 1 2020-03-14 MON