Local progressive-iterative approximation format for blending curves and patches

DOI10.1016/j.cagd.2010.01.003zbMath1210.65042OpenAlexW2090886006MaRDI QIDQ631029

Hong-Wei Lin

Publication date: 22 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2010.01.003

zbMATH Keywords

data fittinggraphical examplesgeometric designprogressive-iterative approximationbi-cubic B-spline patchblending curvelocal format

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (14)

Constructing B-spline solids from tetrahedral meshes for isogeometric analysis ⋮ Progressive iterative approximation for regularized least square bivariate B-spline surface fitting ⋮ Generalized B-splines' geometric iterative fitting method with mutually different weights ⋮ On the progressive iteration approximation property and alternative iterations ⋮ Adaptive data fitting by the progressive-iterative approximation ⋮ An iterative algorithm for polynomial approximation of rational triangular Bézier surfaces ⋮ Implicit progressive-iterative approximation for curve and surface reconstruction ⋮ On a progressive and iterative approximation method with memory for least square fitting ⋮ Total positivity of a kind of generalized toric-Bernstein basis ⋮ A composite iterative procedure with fast convergence rate for the progressive-iteration approximation of curves ⋮ LSPIA, (stochastic) gradient descent, and parameter correction ⋮ Preconditioned progressive iterative approximation for triangular Bézier patches and its application ⋮ Convergence analysis on a second order algorithm for orthogonal projection onto curves ⋮ Hyperpower least squares progressive iterative approximation

Cites Work

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• Volumetric parameterization and trivariate B-spline fitting using harmonic functions
• Point-tangent/point-normal B-spline curve interpolation by geometric algorithms
• Progressive iterative approximation and bases with the fastest convergence rates
• Totally positive bases and progressive iteration approximation
• Constructing iterative non-uniform \(B\)-spline curve and surface to fit data points

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