Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Dorst, Leo (1958-....)
Titre(s) : Geometric algebra for computer science [Texte électronique] : an object-oriented approach to geometry / Leo Dorst, Daniel Fontijne, Stephen Mann
Publication : Amsterdam : Elsevier ; San Francisco : Morgan Kaufmann, 2007
Description matérielle : 1 ressource dématérialisée
Collection : Morgan Kaufmann series in computer graphics
Note(s) : Includes bibliographical references (pages 609-612) and index
"Geometric Algebra for Computer Science presents an alternative to the limitations
of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing
way to represent the geometry of 3D objects in computer programs. In this book you
will find an introduction to GA that will give you a strong grasp of its relationship
to linear algebra and its significance for your work. You will learn how to use GA
to represent objects and perform geometric operations on them. And you will begin
mastering proven techniques for making GA an integral part of your applications in
a way that simplifies your code without slowing it down."--Jacket
Autre(s) auteur(s) : Fontijne, Daniel. Fonction indéterminée
Mann, Stephen (1963-....). Fonction indéterminée
Sujet(s) : Infographie
Information
Algèbre linéaire
Géométrie algébrique
Géométrie euclidienne
Identifiants, prix et caractéristiques : ISBN 9780123694652 . - ISBN 9780123749420
Identifiant de la notice : ark:/12148/cb44725335b
Notice n° :
FRBNF44725335
(notice reprise d'un réservoir extérieur)
Table des matières : 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.
