An integrated fitting and fairing approach for object reconstruction using smooth NURBS curves and surfaces

DOI10.1016/j.camwa.2018.07.007OpenAlexW2883139115MaRDI QIDQ2293577

Seyed Farhad Hosseini, Ali Hashemian

Publication date: 5 February 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.07.007

zbMATH Keywords

object reconstructionNURBS curves and surfacesintegrated fitting and fairing approach

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

Studies on knot placement techniques for the geometry construction and the accurate simulation of isogeometric spatial curved beams ⋮ Effects of parameterization and knot placement techniques on primal and mixed isogeometric collocation formulations of spatial shear-deformable beams with varying curvature and torsion ⋮ On the application of isogeometric finite volume method in numerical analysis of wet-steam flow through turbine cascades ⋮ High-precision extraction of segment points of 2D profiles based on a dynamic grid method ⋮ Humeri under external load: mechanical implications of differing bone curvature in American otter and honey badger

Uses Software

• QUADPACK

Cites Work

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• The effect of parameterization on isogeometric analysis of free-form curved beams
• A biarc-based shape optimization approach to reduce stress concentration effects
• Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems
• Energy, fairness, and a counterexample
• Fairing cubic B-spline curves
• An automated curve fairing algorithm for cubic \(B\)-spline curves
• Object reconstruction by incorporating geometric constraints in reverse engineering.
• Constrained fitting in reverse engineering
• Isogeometric analysis of free-form Timoshenko curved beams including the nonlinear effects of large deformations
• Target curvature driven fairing algorithm for planar cubic B-spline curves
• A Note on the Optimal Addition of Abscissas to Quadrature Formulas of Gauss and Lobatto Type
• Evolutionary Multi-Criterion Optimization

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