Geometric continuity between adjacent Bézier patches and their constructions
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Publication:1349940
DOI10.1016/0167-8396(95)00043-7zbMath0875.68870OpenAlexW1980872173MaRDI QIDQ1349940
Youdong Liang, Horst Nowacki, Xiu-Zi Ye
Publication date: 27 February 1997
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-8396(95)00043-7
Related Items (10)
\(G^1\) continuity between toric surface patches ⋮ \(G{^n}\) filling orbicular \(N\)-sided holes using periodic \(B\)-spline surfaces ⋮ Semi-structured \(B\)-spline for blending two \(B\)-spline surfaces ⋮ Construction of triharmonic Bézier surfaces from boundary conditions ⋮ A generalised formulation of G-continuous Bezier elements applied to non-linear MHD simulations ⋮ A novel modeling and smoothing technique in global optimization ⋮ New Smoothing Approximations to Piecewise Smooth Functions and Applications ⋮ \(\overrightarrow{\epsilon}-G^2\) B-spline surface interpolation ⋮ Construction of flexible blending parametric surfaces via curves ⋮ \(G^1\) continuity conditions of adjacent NURBS surfaces
Cites Work
- Constructions of \(G^{1}\) continuous joins of rational Bézier patches
- \(GC^{n}\) continuity conditions for adjacent rational parametric surfaces
- Geometric continuity of arbitrary order between tensor product Bézier surfaces
- Local surface interpolation with shape parameters between adjoining Gregory patches
- Explicit continuity conditions for adjacent Bézier surface patches
- \(G^ 1\) interpolation of generally unrestricted cubic Bézier curves
- Geometric continuous patch complexes
- Visual continuity
- Letter to the editor: On the definition of geometric continuity
- \(GC^ 1\) continuity conditions between adjacent rectangular and triangular Bézier surface patches
- Curvature continuity between adjacent rational Bézier patches
- Geometric contact for curves and surfaces
- Necessary and sufficient conditions for tangent plane continuity of Bézier surfaces
- Projectively invariant classes of geometric continuity for CAGD
- g-splines
- A construction for visualC1 continuity of polynomial surface patches
- Curve mesh fairing and $GC^2$ surface interpolation
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