Multiple processor visibility search system and method
a search system and multi-processor technology, applied in the field of computer graphics, can solve the problems of sloppy algorithm could end up wasting the most of the computational advantage, and the queries are more expensive than the queries used in the ray casting method
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first embodiment
[0082] In a first embodiment, six normal vectors oriented in the three positive and three negative axial directions are used to generate a fixed-direction hierarchy of hulls shaped like rectangular boxes with sides parallel to the coordinate planes. These axis-aligned bounding hulls provide a simple representation that has excellent local computational properties. It is easy to transform or compare two axis-aligned hulls. However, the approximation provided by axis-aligned hulls tends to be rather coarse, often proving costly at more global levels.
second embodiment
[0083] In a second embodiment, eight normal vectors directed towards the corners of a cube are used to generate a hierarchy of eight-sided hulls. For example, the eight vectors (.+-.1,.+-.1,.+-.1) may be used to generate the eight-sided hulls. The octahedron is a special case of this hull family.
third embodiment
[0084] In a third embodiment, fourteen normal vectors, i.e. the six normals which generate the rectangular boxes plus the eight normals which generate the eight-sided boxes, are used to generate a hull hierarchy with fourteen-sided hulls. These fourteen-sided hulls may be described as rectangular boxes with corners shaved off. It is noted that as the number of normal vectors and therefore side increases, the accuracy of the hull's approximation to the underlying object increases.
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