Topologically robust B-spline surface reconstruction from point clouds using level set methods and iterative geometric fitting algorithms

DOI10.1016/J.CAGD.2012.03.007zbMath1247.65019OpenAlexW1998558653MaRDI QIDQ450229

Tadahiro Shibutani, Takashi Maekawa, Tatsuya Yoshii, Hiroki Yoshihara

Publication date: 13 September 2012

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2012.03.007

zbMATH Keywords

level set methodB-spline surfacesCatmull-Clark subdivision surfacesiterative geometric fitting methodquadrilateral mesh

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

The convergence of least-squares progressive iterative approximation for singular least-squares fitting system ⋮ Topologically Robust B-spline Reconstruction of Fibers from 3D Images

Cites Work

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• Point-tangent/point-normal B-spline curve interpolation by geometric algorithms
• Constructing iterative non-uniform \(B\)-spline curve and surface to fit data points
• A survey of curve and surface methods in CAGD
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Level set methods and dynamic implicit surfaces
• Implicit and Nonparametric Shape Reconstruction from Unorganized Data Using a Variational Level Set Method
• A fast marching level set method for monotonically advancing fronts.
• A composite approach to meshing scattered data

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