A robust algorithm for finding the real intersections of three quadric surfaces

DOI10.1016/j.cagd.2005.02.001zbMath1089.65015OpenAlexW2016216100MaRDI QIDQ2573874

Zhiqiang Xu, Xiao-Diao Chen, Jia-Guang Sun, Xiao Shen Wang

Publication date: 25 November 2005

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2005.02.001

zbMATH Keywords

algorithmnumerical examplescomputer graphicscomputational geometryintersectionquadric surfacesolid modelling

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (1)

Point cloud registration using virtual interest points from Macaulay's resultant of quadric surfaces

Cites Work

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• Quadric-surface intersection curves: Shape and structure
• Recent advances on determining the number of real roots of parametric polynomials
• Enhancing Levin's method for computing quadric-surface intersections
• Using multivariate resultants to find the intersection of three quadric surfaces
• A parametric algorithm for drawing pictures of solid objects composed of quadric surfaces
• Computing quadric surface intersections based on an analysis of plane cubic curves
• Computing a 3-dimensional cell in an arrangement of quadrics
• Near-optimal parameterization of the intersection of quadrics

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