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Quadratic Algebraic Curve Approximate Implicitization for Planar Parametric Curves
Authors:DING You-dong  LI Min  HUA Xuan-ji School of Computer Engineering and Shanghai University Shanghai China
Institution:DING You-dong,LI Min,HUA Xuan-ji School of Computer Engineering and Shanghai University Shanghai 200072. China, Department of Mathematics. Fudan University,Shanghai 200433,China
Abstract:In this paper, a type of preserving GC1 quadratic algebraic polynomial curve approximate implicitization method for parametric curves is presented The coefficients of the implicit polynomial are determined by the GC1 continuity conditions and an optimal function's minimization Numerical examples show that this method is effective
Keywords:parametric curve  algebraic curve  implicitization  optimization
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