Abstract
The last three chapters have introduced the concept of a virtual 3D world and have shown how to generate images of this world — however, it has been assumed that the positions of the objects in the image are already known. The problem now is to calculate the image coordinates from the original locations of the objects within the virtual world — this chapter begins to construct a solution by providing a sound mathematical model of the virtual world. The essential topics include:
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vector description of the virtual world
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coordinate systems and matrix transformations
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the VECTOR class
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scalar product, vector product and triple product
Keywords
Scalar Product Virtual World Virtual Object Vector Product Triple Product
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information
© Springer-Verlag London Limited 1998