RT info:eu-repo/semantics/article
T1 Finite piecewise polynomial parametrization of plane algebraic curves
A1 Pérez Díaz, Sonia
A1 Sendra Pons, Juan Rafael
A1 Villarino Cabellos, Carlos
K1 Piecewise polynomial parametrization
K1 Rational algebraic curves
K1 Error analysis
K1 Matemáticas
K1 Mathematics
AB We present an algorithm with the following characteristics: given a real non-polynomial rational parametrization P(t) of a plane curve and a tolerance ϵ>0 , R is decomposed as union of finitely many intervals, and for each interval I of the partition, with the exception of some isolating intervals, the algorithm generates a polynomial parametrization PI(t) . Moreover, as an option, one may also input a natural number N and then the algorithm returns polynomial parametrizations with degrees smaller or equal to N. In addition, we present an error analysis where we prove that the curve piece CI={P(t)|t∈I} is in the offset region of C∗I={PI(t)|t∈I} at distance at most 2–√ϵ , and conversely.
PB Springer
SN 0938-1279
YR 2007
FD 2007
LK http://hdl.handle.net/10017/49598
UL http://hdl.handle.net/10017/49598
LA eng
NO Ministerio de Educación y Ciencia
DS MINDS@UW
RD 24-abr-2024