We present a new method for the construction of shape-preserving curves approximating a given set of 3D data, based on the space of "quintic like" polynomial splines with variable degrees recently introduced in 2001. These splines - which are $C^3$ and therefore curvature and torsion continuous - possess a very simple geometric structure, which permits to easily handle the shape-constraints.
Costantini, P., Pelosi, F. (2004). Shape-preserving approximation of spatial data. ADVANCES IN COMPUTATIONAL MATHEMATICS, 20, 25-51 [10.1023/A:1025803122254].
Shape-preserving approximation of spatial data
PELOSI, FRANCESCA
2004-01-01
Abstract
We present a new method for the construction of shape-preserving curves approximating a given set of 3D data, based on the space of "quintic like" polynomial splines with variable degrees recently introduced in 2001. These splines - which are $C^3$ and therefore curvature and torsion continuous - possess a very simple geometric structure, which permits to easily handle the shape-constraints.File in questo prodotto:
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