Integer Approximation to the Intersection of Three Planes with Planar Constraints
The intersection point of three planes specified with rational coordinates is approximated by a point with integer-valued coordinates so that the integer point is constrained within the pyramid specified by three half-spaces of the planes. An O(N log N) algorithm guarantees that the obtained integer point is closest to the apex of the pyramid. An O(log N) algorithm, not yet proven to guarantee the closest point, yields promising results.
KeywordsRational Number Solution Point Integer Point Original Domain Minimum Integer
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