Numerical methods and software
Numerical methods and software
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
On parametrization of interpolating curves
Journal of Computational and Applied Mathematics
On quasi-consistent integration by Nordsieck methods
Journal of Computational and Applied Mathematics
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We consider the problem of interpolation of curves and surfaces using parametric functions. In this problem the choice of parameters has a strong influence on the form of interpolants. We formulate and prove the necessary and sufficient conditions of the parameterization that provides the best quality of interpolation.