Abstract: In a data processing system for determining intersections between geometric objects, the work is split between a CPU and a stream processor. The intersection determination is controlled by the CPU. Data processing intensive parts of intersection algorithms, such as checking possible overlap of objects, checking overlap of normal fields of objects, approximating the extent of an object, approximating the normal fields of an object, or making conjectures for intersection topology and/or geometry between objects, are run on the stream processor. The results of the algorithmic parts run on the stream processor are used by the part of the algorithms run on the CPU. In cases where conjectures for the computational result are processed on the stream processor, the conjectures are checked for correctness by algorithms run on the CPU. If the correctness check shows that the result found is incomplete or wrong, additional parts of the algorithm are run on the CPU and possibly on the stream processor.

Abstract: A computer apparatus is disclosed for determining high quality raster data generation of scalar fields or vector fields, represented by piecewise polynomials or piecewise rational functions. It comprise one or more CPUs operative to do portions of the raster data generation algorithm, initializing sub-algorithms thereof, control the sub-algorithms, and possibly read back the generated raster data or transfer the raster data to other processors in the system. The computer apparatus further comprises one or more stream processing units operative to receive parts of the raster data algorithm from the CPUs and to execute sub-algorithms of the raster data algorithm, resulting in raster data that can be directly visualized, read back to the CPU or transferred to other processors.

Abstract: In a data processing system for determining intersections between geometric objects, the work is split between a CPU and a stream processor. The intersection determination is controlled by the CPU. Data processing intensive parts of intersection algorithms, such as checking possible overlap of objects, checking overlap of normal fields of objects, approximating the extent of an object, approximating the normal fields of an object, or making conjectures for intersection topology and/or geometry between objects, are run on the stream processor. The results of the algorithmic parts run on the stream processor are used by the part of the algorithms run on the CPU. In cases where conjectures for the computational result are processed on the stream processor, the conjectures are checked for correctness by algorithms run on the CPU. If the correctness check shows that the result found is incomplete or wrong, additional parts of the algorithm are run on the CPU and possibly on the stream processor.