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arXiv · 2208.03677

A New Robust Algorithm for Computation of a Triangle Circumscribed Sphere in E3 and a Hypersphere Simplex

Vaclav Skala
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Abstract

There are many applications in which a bounding sphere containing the given triangle E3 is needed, e.g. fast collision detection, ray-triangle intersecting in raytracing etc. This is a typical geometrical problem in E3 and it has also applications in computational problems in general. In this paper a new fast and robust algorithm of circumscribed sphere computation in the -dimensional space is presented and specification for the E3 space is given, too. The presented method is convenient for use on GPU or with SSE or Intel AVX instructions on a standard CPU

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Vaclav Skala. 2022-08-07. A New Robust Algorithm for Computation of a Triangle Circumscribed Sphere in E3 and a Hypersphere Simplex. https://arxiv.org/abs/2208.03677

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