The sphere as a rational Bézier surface

DOI10.1016/0167-8396(86)90023-3zbMath0631.65013OpenAlexW2041712145MaRDI QIDQ1094809

B. George

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-8396(86)90023-3

zbMATH Keywords

computer aided designcross-ratiorational Bézier surfacesBézier netquadric primitivesBerstein polynomialscomputer geometryrational Bézier approximationspherical shape modeling

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Algorithms for approximation of functions (65D15) Curves in Euclidean and related spaces (53A04) Graphical methods in numerical analysis (65S05)

Related Items (9)

On the use of infinite control points in CAGD ⋮ The octant of a sphere as a non-degenerate triangular Bézier patch ⋮ Unnamed Item ⋮ Homogeneous bounding boxes as tools for intersection algorithms of rational Bézier curves and surfaces ⋮ The circle as a smoothly joined BR-curve on [0,1] ⋮ An algebraic approach to curves and surfaces on the sphere and on other quadrics ⋮ Letter to the editor ⋮ Rational interpolation on a hypersphere ⋮ Helix approximations with conic and quadratic Bézier curves

Cites Work

• Smooth closed surfaces with discrete triangular interpolants
• Representation of quadric primitives by rational polynomials
• Surfaces in computer aided geometric design: A survey with new results

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