Symbolic computation of the orthogonal projection of rational curves onto rational parameterized surfaces

DOI10.1155/2015/394246zbMath1394.65016OpenAlexW1591768780WikidataQ59118465 ScholiaQ59118465MaRDI QIDQ1665584

Meng Zhou, Zhiwang Gan

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/394246

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Uses Software

• CASA
• Epsilon

Cites Work

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• Computing intersection and self-intersection loci of parametrized surfaces using regular systems and Gröbner bases
• Efficient offset trimming for planar rational curves using biarc trees
• A torus patch approximation approach for point projection on surfaces
• An algebraic approach to curves and surfaces on the sphere and on other quadrics
• Intersection and self-intersection of surfaces by means of Bezoutian matrices
• Rational algebraic curves. A computer algebra approach
• Elimination methods
• Rational parametrizations of algebraic curves using a canonical divisor
• Computing triangular systems and regular systems
• Polynomial algorithms in computer algebra
• Point inversion and projection for nurbs curve and surface: control polygon approach
• Algorithms for projecting points onto conics
• A second order algorithm for orthogonal projection onto curves and surfaces
• Computing the Orthogonal Projection of Rational Curves onto Rational Parameterized Surface by Symbolic Methods

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