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...
Κύριος συγγραφέας: | Dorst, Leo, 1958- |
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Άλλοι συγγραφείς: | Fontijne, Daniel., Mann, Stephen, 1963- |
Μορφή: | Ηλεκτρονική πηγή |
Γλώσσα: | English |
Στοιχεία έκδοσης: |
Amsterdam : San Francisco :
Elsevier ;
2007.
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Σειρά: |
Morgan Kaufmann series in computer graphics.
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Θέματα: | |
Διαθέσιμο Online: |
http://www.sciencedirect.com/science/book/9780123694652 |
Ετικέτες: |
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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.