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

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