RT info:eu-repo/semantics/article
T1 First steps towards radical parametrization of algebraic surfaces
A1 Sendra Pons, Juan Rafael
A1 Sevilla, David
K1 Algebraic surface
K1 Radical parametrization
K1 Ciencia
K1 Matemáticas
K1 Science
K1 Mathematics
AB We introduce the notion of radical parametrization of a surface, and we provide algorithmsto 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 irreduciblesurfaces of degree at most 5, all irreducible singular surfaces of degree 6, and surfacescontaining a pencil of low-genus curves. In addition, we prove that radical parametrizationsare preserved under certain type of geometric constructions that include offset andconchoids.
PB Elsevier
SN 0167-8396
YR 2013
FD 2013
LK http://hdl.handle.net/10017/20447
UL http://hdl.handle.net/10017/20447
LA eng
NO This is the author’sversion of a work that was accepted for publication inComputer Aided Geometric Design. Changes resulting from the publishingprocess, such as peer review, editing, corrections,structural formatting, and other quality control mechanisms may not bereflected in this document.Changes may have been made to this work since it was submitted forpublication.A definitive version was subsequently published in Computer AidedGeometric Design Volume 30, Issue 4, pp. 374-388 (2013) .DOI: 10.1016/j.cagd.2012.12.004
NO The first author is a member of the of the Research Group ASYNACS (Ref. CCEE2011/R34)
NO Ministerio de Ciencia e Innovación
DS MINDS@UW
RD 19-abr-2024