Geometric algebra for computer science
an object-oriented approach to geometry
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| 100 | 1 | |a Dorst |D Leo |d 1958- | |
| 245 | 1 | 0 | |a Geometric algebra for computer science |h [Elektronische Daten] |b an object-oriented approach to geometry |c Leo Dorst, Daniel Fontijne, Stephen Mann |
| 260 | |a Amsterdam |a San Francisco |b Elsevier |b Morgan Kaufmann |c 2007 | ||
| 300 | |a 1 online resource (xxxv, 626 p.) |b ill. (some col.) | ||
| 490 | 0 | |a Morgan Kaufmann series in computer graphics | |
| 504 | |a Includes bibliographical references (p. 609-612) and index. | ||
| 505 | 0 | |a 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. | |
| 506 | |a Lizenzbedingungen können den Zugang einschränken. License restrictions may limit access. | ||
| 650 | 6 | |a Géométrie algébrique | |
| 650 | 6 | |a Informatique |x Mathématiques | |
| 650 | 6 | |a Approche orientée objet (Informatique) | |
| 650 | 1 | 7 | |a Geometrische algebra |2 gtt |
| 650 | 0 | 7 | |a Clifford-Algebra |2 swd |
| 650 | 0 | 7 | |a Computergraphik |2 swd |
| 650 | 0 | 7 | |a Geometrische Algebra |2 swd |
| 650 | 0 | 7 | |a Information |2 swd |
| 650 | 0 | 7 | |a Objektorientierte Programmierung |2 swd |
| 650 | 0 | |a Computer graphics |x Mathematics | |
| 650 | 0 | |a Computer science |x Mathematics | |
| 650 | 0 | |a Geometry, Algebraic | |
| 650 | 0 | |a Object-oriented methods (Computer science) | |
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| 650 | 7 | |a COMPUTERALGEBRA + SYMBOLISCHE BERECHNUNG |x ger |0 (ETHUDK)000012736 |2 ethudk | |
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