An Introduction to Guided and Polar Surfacing

DOI10.1007/978-3-642-11620-9_20zbMath1274.65049OpenAlexW2124162250MaRDI QIDQ5189426

Kȩstutis Karčiauskas, Jörg Peters

Publication date: 16 March 2010

Published in: Mathematical Methods for Curves and Surfaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-11620-9_20

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Splines for meshes with irregularities ⋮ Subdivision and G-spline hybrid constructions for high-quality geometric and analysis-suitable surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Concentric tessellation maps and curvature continuous guided surfaces
• On the curvature of guided surfaces
• Pairs of bi-cubic surface constructions supporting polar connectivity
• Lens-shaped surfaces and \(C^{2}\) subdivision
• A \(C^ 2\) polygonal surface patch
• Smoothness of subdivision surfaces at extraordinary points
• Irregular \(C^{2}\) surface construction using bi-polynomial rectangular patches
• Curvature continuous spline surfaces over irregular meshes
• TURBS - topologically unrestricted rational B-splines
• Degenerate Bézier patches with continuous curvature
• Curvature continuous interpolation of curve meshes
• Freeform splines
• Parametrization and smooth approximation of surface triangulations
• \(C^{2}\) free-form surfaces of degree (3,5)
• Modeling surfaces from meshes of arbitrary topology
• Using partial differential equations to generate free-form surfaces
• Shape characterization of subdivision surfaces -- basic principles
• Shape characterization of subdivision surfaces --- case studies
• Subdivision surfaces
• Iterative mesh generation for FE‐computations on free form surfaces
• Computing Discrete Minimal Surfaces and Their Conjugates
• A degree estimate for subdivision surfaces of higher regularity
• Guided C 2 Spline Surfaces with V-Shaped Tessellation
• A unified framework for primal/dual quadrilateral subdivision schemes

This page was built for publication: An Introduction to Guided and Polar Surfacing