Curves and surfaces in computer aided geometric design
Curves and surfaces in computer aided geometric design
Choosing nodes in parametric curve interpolation
Computer-Aided Design
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Knot selection for parametric spline interpolation
Mathematical methods in computer aided geometric design
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Interactive shape preserving interpolation by curvature continuous rational cubic splines
Journal of Computational and Applied Mathematics - Special issue on computational methods in computer graphics
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
On the singularity of a class of parametric curves
Computer Aided Geometric Design
Shape-preserving, first-derivative-based parametric and nonparametric cubic L1 spline curves
Computer Aided Geometric Design
The best parameterization for parametric interpolation
Journal of Computational and Applied Mathematics - Special issue: The international conference on computational methods in sciences and engineering 2004
Interactive Data Interpolation by Rational Bezier Curves
IEEE Computer Graphics and Applications
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In parametric curve interpolation there is given a sequence of data points and corresponding parameter values (nodes), and we want to find a parametric curve that passes through data points at the associated parameter values. We consider those interpolating curves that are described by the combination of control points and blending functions. We study paths of control points and points of the interpolating curve obtained by the alteration of one node. We show geometric properties of quadratic Bezier interpolating curves with uniform and centripetal parameterizations. Finally, we propose geometric methods for the interactive modification and specification of nodes for interpolating Bezier curves.