Volumes with piecewise quadratic medial surface transforms: Computation of boundaries and trimmed offsets

Computer-Aided Design, pp. 571-579, 2010.

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rational envelopemos surfacestrimmed offsetsexact rational enveloperational approximationMore(10+)

Abstract:

MOS surfaces (i.e., medial surface transforms obeying a sum of squares condition) are rational surfaces in R^3^,^1 which possess rational envelopes of the associated two-parameter families of spheres. Moreover, all offsets of the envelopes admit rational parameterizations as well. Recently, it has been proved that quadratic triangular Bez...More

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