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Method of converting continuous three-dimensional geometrical representations into discrete three-dimensional voxel-based representations within a three-dimensional voxel-based system
Method of converting continuous three-dimensional geometrical representations into discrete three-dimensional voxel-based representations within a three-dimensional voxel-based system
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机译：在基于三维体素的系统中将连续三维几何图形表示转换为基于三维三维像素的离散表示的方法
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摘要
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.
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