Inverse spherical surfaces

DOI10.1016/j.cam.2004.07.030zbMath1063.65016OpenAlexW2004781909MaRDI QIDQ1763660

Giulio Casciola, Serena Morigi

Publication date: 22 February 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.07.030

zbMATH Keywords

continuity conditionssubdivisionjoiningspherical coordinatesrational Bézier patchdegree raisinggeometric modellingsingle-valued surfacesinverse spherical surfacesrational triangular Bézier patch

Mathematics Subject Classification ID

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

Cites Work

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• GC\({}^ 1\) continuity conditions between two adjacent rational Bézier surface patches
• Single-valued curves in polar coordinates
• The octant of a sphere as a non-degenerate triangular Bézier patch
• Single-valued spline curves in polar coordinates
• A \(G^ 1\) triangular spline surface of arbitrary topological type
• Single-valued surfaces in spherical coordinates
• Bernstein-Bézier polynomials on spheres and sphere-like surfaces
• Fitting scattered data on sphere-like surfaces using spherical splines
• Some results for a class of generalized polynomials
• INVERSE CIRCULAR CURVES