Local surface interpolation with Bézier patches

DOI10.1016/0167-8396(87)90003-3zbMath0638.65006OpenAlexW1976617228MaRDI QIDQ1099572

Leon A. Shirman, Carlo H. Séquin

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-8396(87)90003-3

zbMATH Keywords

local interpolationgeometric continuitysurface modelingBézier patchessurface interpolation methodmeshes of cubic curves

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (20)

Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in \(\mathbb{R}^ 3\) ⋮ Gregory-type patches bounded by low degree integral curves for \(G^{2}\) continuity ⋮ Unnamed Item ⋮ Multisided generalisations of Gregory patches ⋮ Reconstruction of quasi developable surfaces from ribbon curves ⋮ NONLINEAR INTERPOLATION BETWEEN SLICES ⋮ Hermite parametric surface interpolation based on Argyris element ⋮ On the interpolation of normal vectors for triangle meshes ⋮ Local surface interpolation with shape parameters between adjoining Gregory patches ⋮ Local surface interpolation with Bézier patches: Errata and improvements ⋮ \(G^{1}\) Bézier surface interpolation with T-junctions at a 3-valent singular vertex ⋮ A new insight into the \(G^{n}\) continuity of polynomial surfaces ⋮ IGA-based point cloud fitting using B-spline surfaces for reverse engineering ⋮ Minimal energy surfaces using parametric splines ⋮ Smoothing of free-form surfaces with Bézier patches ⋮ Conversion of B-rep CAD models into globally \(G^1\) triangular splines ⋮ Visually smooth composite surfaces for an unevenly spaced 3D data array ⋮ Local smooth surface interpolation: A classification ⋮ Smooth interpolation of a mesh of curves ⋮ An Improved Algorithm for Scattered Data Interpolation Using Quartic Triangular Bézier Surfaces

Cites Work

• A survey of curve and surface methods in CAGD
• \(G^ 1\) interpolation of generally unrestricted cubic Bézier curves
• A construction for visualC1 continuity of polynomial surface patches
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