December 2012
Intermediate to advanced
631 pages
13h 10m
English
Content preview from Graphics Gems III (IBM Version)
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VI.5
RECTANGULAR BOUNDING VOLUMES FOR POPULAR PRIMITIVES
Ben Trumbore, Cornell University, Ithaca, New York
Publisher Summary
This chapter provides derivations and source code for the generation of minimal bounding volumes for a cube, a group of polygons, a sphere, a cylinder, a cone, and a torus. The methods described in the chapter suggest that each object in an environment is created by applying a cumulative transformation matrix (CTM) to a canonical primitive object. To calculate the bounding volumes, components of the primitive object are transformed using a CTM. Extrema of the transformed components are then calculated. Those extrema are used to determine the extents of the bounding volume. The bounding volume for a cube is easily ...
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