Geometric algebra for computer science an object-oriented approach to geometry / Leo Dorst, Daniel Fontijne, Stephen Mann.
| Author/creator | Dorst, Leo, 1958- |
| Other author | Fontijne, Daniel. |
| Other author | Mann, Stephen, 1963- |
| Format | Electronic |
| Publication Info | Amsterdam : Elsevier ; San Francisco : Morgan Kaufmann, |
| Description | xxxv, 626 p. : ill. (some col.) ; 24 cm. |
| Supplemental Content | Full text available from eBook - Computer Science 2007 |
| Subjects |
| Series | Morgan Kaufmann series in computer graphics Morgan Kaufman series in computer graphics and geometric modeling. UNAUTHORIZED |
| Contents | 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. |
| Bibliography note | Includes bibliographical references (p. 609-612) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2010481601 |
| ISBN | 0123694655 |
| ISBN | 9780123694652 |
| ISBN | 9780123749420 (hbk.) |
| ISBN | 0123749425 (hbk.) |