Planar piecewise algebraic curves

DOI10.1016/0167-8396(84)90011-6zbMath0576.65135OpenAlexW2002831093MaRDI QIDQ1064766

Thomas W. Sederberg

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0167-8396(84)90011-6

zbMATH Keywords

rational curvescomputational geometryintersectionsAlgebraic curvespiecewise algebraic curvesgeometric modellingplottingpiecewise Bernstein-Bezier surfaces

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Spline approximation (41A15) Graphical methods in numerical analysis (65S05)

Related Items (19)

Convexity preserving interpolation by algebraic curves and surfaces ⋮ Cubic polynomial A-splines: \(G^{1}, G^{2}\) and inflection point control ⋮ Interval implicitization of rational curves ⋮ Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves ⋮ Piecewise parametric approximations for algebraic curves ⋮ Geometric control of \(G^{2}\)-cubic A-splines ⋮ Envelope computation in the plane by approximate implicitization ⋮ The Bernstein polynomial basis: a centennial retrospective ⋮ On the numerical condition of algebraic curves and surfaces. I: Implicit equations ⋮ Cubic algebraic spline curves design ⋮ Path splines with conic envelopes ⋮ Approximate implicitization of parametric curves using cubic algebraic splines ⋮ Fat Arcs for Implicitly Defined Curves ⋮ Stable recovery of planar regions with algebraic boundaries in Bernstein form ⋮ Path splines with circle envelopes ⋮ Piecewise algebraic surface computation and smoothing from a discrete model ⋮ On zero curves of bivariate polynomials ⋮ \(G^2\) composite cubic Bézier curves ⋮ Piecewise algebraic surface patches

Cites Work

• Unnamed Item
• Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves
• Recursive calculation of curved finite element stiffness matrices
• Adaptive contouring of three-dimensional surfaces
• Implicit representation of parametric curves and surfaces

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