Mathematical Methods for Curves and Surfaces · 2001 · 47 citations · 12 references
ComputingComputer ScienceComputational GeometryAlgebraic GeometryApproximation AlgorithmsNumerical AlgorithmsNumerical AnalysisNumerical Methods For Differential EquationsParametric CurvesApproximation On ManifoldsConvergence Rate AnalysisPiecewise Parametric CurvesPiecewise Polynomial ApproximationPiecewise Rational RepresentationRational Parametric CurvesSingular Value DecompositionSurface Approximation
A method for the approximation of piecewise rational parametric manifolds of a chosen degree with an algebraic hypersurface is presented. This method has good convergence rate, uses singular value decomposition to find a set of alternative approximations and enables the selection of an approximation to be based on required behavior of the gradient of the resulting approximating algebraic surface.
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Implicitization using moving curves and surfaces
Thomas W. Sederberg, Falai Chen · 1995 · 202 citations