Numerical proper reparametrization of space curves and surfaces
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/41549DOI: 10.1016/j.cad.2019.07.001
ISSN: 0010-4485
Editor
Elsevier
Fecha de publicación
2019-11-01Fecha fin de embargo
2020-11-01Patrocinadores
Agencia Estatal de Investigación
Cita bibliográfica
Shen, Li-Yong, Pérez-Díaz, Sonia & Yang, Zhengfeng. 2019, “Numerical proper reparametrization of space curves and surfaces”, Computer-Aided Design, vol. 116 (Nov. 2019), article 102732
Palabras clave
Numerical/symbolic reparametrization
Space curve
Rational surface
Approximately improper/proper
Proyectos
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88796-P/ES/COMPUTACION SIMBOLICA: NUEVOS RETOS EN ALGEBRA Y GEOMETRIA Y SUS APLICACIONES/
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://doi.org/10.1016/j.cad.2019.07.001Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2019 Elsevier
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
Simplifying rational parametrizations of surfaces is a basic problem in CAD (computer-aided design). One important way is to reduce their tracing index, called proper reparametrization. Most existing proper reparametrization work is symbolic, yet in practical environments the surfaces are usually given with perturbed coefficients hence need a numerical technique of reparametrization considering the intrinsic properness of the perturbed surfaces. We present algorithms for reparametrizing a numerically rational space curve or surface. First, we provide an efficient way to find a parametric support transformation and compute a reparametrization with proper parametric support. Second, we develop a numerical algorithm to further reduce the tracing index, where numerical techniques such as sparse interpolation and approximated GCD computations are involved. We finally provide the error bound between the given rational curve/surface and our reparametrization result.
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