Analysis and avoidance of singularities for local \(G^{1}\) surface interpolation of Bézier curve network with 4-valent nodes
From MaRDI portal
Publication:884735
DOI10.1007/s00607-006-0203-1zbMath1116.53006OpenAlexW2105102958MaRDI QIDQ884735
Publication date: 7 June 2007
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00607-006-0203-1
singularitiesBézier surfaces\(G^{1}\) conditioncurve network interpolationnode pointssingular analysis
Numerical interpolation (65D05) Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (2)
\(G^{1}\) Bézier surface interpolation with T-junctions at a 3-valent singular vertex ⋮ Local and singularity-free \(G^{1}\) triangular spline surfaces using a minimum degree scheme
Cites Work
- A practical construction of \(G^{1}\) smooth biquintic B-spline surfaces over arbitrary topology
- On the \(G^ 1\) continuity of piecewise Bézier surfaces: A review with new results
- Smooth interpolation of a mesh of curves
- Explicit continuity conditions for adjacent Bézier surface patches
- \(G^ 1\) interpolation of generally unrestricted cubic Bézier curves
- \(GC^ 1\) continuity conditions between adjacent rectangular and triangular Bézier surface patches
- \(G^ 1\) interpolation of mesh curves
- A \(G^ 1\) triangular spline surface of arbitrary topological type
- Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in \(\mathbb{R}^ 3\)
- Triangular \(G^{1}\) interpolation by 4-splitting domain triangles
- Visually smooth composite surfaces for an unevenly spaced 3D data array
- A construction for visualC1 continuity of polynomial surface patches
This page was built for publication: Analysis and avoidance of singularities for local \(G^{1}\) surface interpolation of Bézier curve network with 4-valent nodes
