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Polyhedral modelling with multiprecision integer arithmetic
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DOI：10.1016/S0010-4485(96)00041-3.png)
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Abstract
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We describe a polyhedral modeller that uses software extended-precision integer arithmetic to guarantee numerical reliability. By careful design, the performance of the modeller is not much different from the performance that a floating-point modeller might have. The modeller performs Boolean set operations exactly; to prevent growth of coordinate bit-length, affine transformations require coordinate rounding and hence are approximate. A new algorithm for reconstructing polyhedral incidence information after rounding is given. Copyright (C) 1996 Elsevier Science Ltd
Keywords:
polyhedral modelling
exact arithmetic
adaptive-precision arithmetic
robustness
geometric algorithms
numerical reliability
winding number
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