Geometric algebra for computer science an object-oriented approach to geometry /

In fields such as robotics, computer graphics, and computer games, it is necessary to compute complex interactions of objects in virtual 3D worlds. In a virtual world, there may be thousands of these objects interacting with each other in real-time. Linear algebra (vector math) is traditionally used...

Πλήρης περιγραφή

Κύριος συγγραφέας: Dorst, Leo, 1958-
Άλλοι συγγραφείς: Fontijne, Daniel., Mann, Stephen, 1963-
Μορφή: Ηλεκτρονική πηγή
Γλώσσα: English
Στοιχεία έκδοσης: Amsterdam : San Francisco : Elsevier ; 2007.
Σειρά: Morgan Kaufmann series in computer graphics.
Θέματα:
Διαθέσιμο Online: http://www.sciencedirect.com/science/book/9780123694652
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Πίνακας περιεχομένων:
  • Preface; 1 Introduction; 2 The Spanning Product of Geometric Algebra; 3 The Metric Products of Geometric Algebra; 4 Linear Transformations of Subspaces; 5 The Fundamental Product of Geometric Algebra; 6 Rotations and Reflections as Versors; 7 Homogeneous Models of Geometry; 8 The Conformal Model of Euclidean Geometry; 9 Structure; 10 Using the Geometry; 11 Using the Geometry in a Ray Tracing Application; 12 Implementation; Appendices; A. Glossary; B. Matrices; C. Inferior Inner Products; D. GaViewer.