عنوان

Geometric algebra for computer science :

(Number (ISBN

0123694655

(Number (ISBN

0123749425

(Number (ISBN

9780123694652

(Number (ISBN

9780123749420

Number

dltt

Title Proper

Geometric algebra for computer science :

General Material Designation

[Book]

Other Title Information

an object-oriented approach to geometry /

First Statement of Responsibility

Leo Dorst, Daniel Fontijne, Stephen Mann

Specific Material Designation and Extent of Item

xxxv, 626 pages :

Other Physical Details

illustrations (some color) ;

Dimensions

24 cm

Series Title

Morgan Kaufmann series in computer graphics

Text of Note

Includes bibliographical references (pages 609-612) and index

Text of Note

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

0

Computer science-- Mathematics

Geometry, Algebraic

Object-oriented methods (Computer science)

Number

Edition

Class number

Book number

Dorst, Leo,1958-

Fontijne, Daniel

Mann, Stephen,1963-

Date of Transaction

20100413011043.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y