Fairing composite polynomial curves with constraints
Computer Aided Geometric Design
Surface construction based on variational principles
An international conference on curves and surfaces on Wavelets, images, and surface fitting
Interactive design of constrained variational curves
Computer Aided Geometric Design
Fairness approximation by modified discrete smoothing Dm-splines
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
Approximation by discrete variational splines
Journal of Computational and Applied Mathematics
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Approximation of discontinuous curves and surfaces with tangent conditions
Journal of Computational and Applied Mathematics
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We present in this paper an approximation method of curves from sets of Lagrangian data and vectorial tangent subspaces. We define a discrete smoothing fairness spline with tangent conditions by minimizing certain quadratic functional on finite element spaces. Convergence theorem is established and some numerical and graphical examples are analyzed in order to show the validity and the effectiveness of this paper.