We investigate C1-smooth univariate curvature-based cubic L1 interpolating splines in Cartesian and polar coordinates. The coefficients of these splines are calculated by minimizing the L1 norm of curvature. We compare these curvature-based cubic L1 ...
We investigate C1-smooth bivariate curvature-based cubic L1 interpolating splines in spherical coordinates. The coefficients of these splines are calculated by minimizing an integral involving the L1 norm of univariate curvature in four directions at ...
We investigate parametric and nonparametric cubic L1 interpolating spline curves ("L1 splines") in two and three dimensions with the goal of achieving shape-preserving interpolation of irregular data. We introduce five types of parametric L1 and L2 ...
Pergamon Press, Inc.
United States
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