Method of converting continuous three-dimensional geometrical re

Details Method of converting continuous three-dimensional geometrical re Method of converting continuous three-dimensional geometrical re

1988-07-26

1991-08-06

Markcom, Gary V.

Boots, shoes, and leggings

364521, 364518, 340747, 340729, G06F 1562

Patent

active

050383027

ABSTRACT:
Method of converting continuous 3-D geometrical representations into a discrete set of voxels in discrete 3-D voxel space. In one embodiment, a method is provided for converting a continuous 3-D straight line segment into a discrete set of voxels connected together in discrete 3-D voxel space. In another embodiment, a method is provided for converting a continuous 3-D parametric polynomial curve segment into a discrete set of voxels connected together in discrete 3-D voxel space. In an alternative embodiment, a method is provided for converting a continuous 3-D parametric polynomial surface patch into a discrete set of voxels connected together in discrete 3-D voxel space. Yet in another embodiment of the present invention, a method is provided for converting a continuous 3-D parametric polynomial volume element into a discrete set of voxels connected together in discrete 3-D voxel space. The method of the present invention is incremental in nature and uses all integer arithmetic. The method of the present invention is also characterized by symmetrical decisional process loops using substantially the same decisional process logic in each of the x, y and z coordinate directions, and thus is capable of generating discrete sets of voxels having a variety of connectivities.

REFERENCES:
patent: 4719585 (1988-01-01), Cline et al.
patent: 4791567 (1988-12-01), Cline et al.
patent: 4791582 (1988-12-01), Ueda et al.

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