Shape-preserving, multiscale interpolation by univariate curvature-based cubic L1 splines in Cartesian and polar coordinates

Univariate cubic Lp splines and shape-pr

Univariate cubic Lp splines and shape-preserving, multiscale interpolation by univariate cubic L1 splines

✍ John E. Lavery 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 180 KB

Univariate cubic L p interpolating splines, 1 p ∞, defined by minimizing the L p norm of the second derivative over a finite-dimensional spline space, are introduced. Cubic L 2 splines, which coincide with conventional cubic splines, and cubic L ∞ splines do not preserve shape well. In contrast, cub