Least squares quasi-developable mesh approximation

DOI10.1016/j.cagd.2012.03.009zbMath1250.65028OpenAlexW1967866401MaRDI QIDQ450254

Ming Chen, Matthew Ming-Fai Yuen, Yong-Jin Liu, Long Zeng

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.2012.03.009

zbMATH Keywords

optimizationnumerical exampleslarge sparse linear systemleast squares solutiongraphical examplesdevelopable meshesextended Gaussian imagefree-form mesh modelsurface developability

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Computer-aided design (modeling of curves and surfaces) (65D17) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

D3AdvM: A direct 3D adversarial sample attack inside mesh data ⋮ Constructing local controlled developable H-Bézier surfaces by interpolating characteristic curves

Uses Software

• CSparse

Cites Work

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• Developable Bézier patches: properties and design
• B-spline control nets for developable surfaces
• Approximation algorithms for developable surfaces
• A simple algorithm for designing developable Bézier surfaces
• Degree elevation and developable Bézier surfaces
• BOUNDARY TRIANGULATIONS APPROXIMATING DEVELOPABLE SURFACES THAT INTERPOLATE A CLOSED SPACE CURVE
• Direct Methods for Sparse Linear Systems
• Spherical splines
• On Surface Approximation Using Developable Surfaces
• Representation and geometric computation using the extended Gaussian image
• Mathematics of Surfaces XI
• An optimization algorithm for free-form surface partitioning based on weighted gaussian image

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