Optimization of a NURBS representation
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Publication:1322938
DOI10.1016/0010-4485(93)90011-CzbMath0794.65013OpenAlexW2000388606MaRDI QIDQ1322938
Mounib Mekhilef, Pascal Laurent-Gengoux
Publication date: 10 May 1994
Published in: CAD. Computer-Aided Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0010-4485(93)90011-c
curves\(B\)-splinessurfacespenalty functionoptimal approximationcontrol pointsknot vectorsNURBS representationPolak-Ribière conjugate gradient algorithm
Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (7)
On the usage of NURBS as interface representation in free-surface flows ⋮ Shape optimization of Dirichlet boundaries based on weighted B-spline finite cell method and level-set function ⋮ A Newton-type method for constrained least-squares data-fitting with easy-to-control rational curves ⋮ An error-bounded approximate method for representing planar curves in B-splines ⋮ Sufficient condition for injectivity of NURBS volumes by tangent cones ⋮ Efficient computation of the Gauss-Newton direction when fitting NURBS using ODR ⋮ Curve fairing using integral spline operators
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