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This is the author’s
version of a work that was accepted for publication in
Computer Aided Geometric Design. Changes resulting from the publishing
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A definitive version was subsequently published in Computer Aided
Geometric Design Volume 30, Issue 4, pp. 374-388 (2013) .
DOI: 10.1016/j.cagd.2012.12.004The first author is a member of the of the Research Group ASYNACS (Ref. CCEE2011/R34)We introduce the notion of radical parametrization of a surface, and we provide algorithms
to compute such type of parametrizations for families of surfaces, like: Fermat surfaces,
surfaces with a high multiplicity (at least the degree minus 4) singularity, all irreducible
surfaces of degree at most 5, all irreducible singular surfaces of degree 6, and surfaces
containing a pencil of low-genus curves. In addition, we prove that radical parametrizations
are preserved under certain type of geometric constructions that include offset and
conchoids.Ministerio de Ciencia e InnovaciónThe Austrian Science Fund (FWF
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