Univariate cubic L 1 splines provide C 1 -smooth, shape-preserving interpolation of arbitrary data, including data with abrupt changes in spacing and magnitude. The minimization principle for univariate cubic L 1 splines results in a nondifferentiable convex optimization problem. In order to...

Univariate cubic L <Subscript>1</Subscript> splines provide C <Superscript>1</Superscript>-smooth, shape-preserving interpolation of arbitrary data, including data with abrupt changes in spacing and magnitude. The minimization principle for univariate cubic L <Subscript>1</Subscript> splines results in a nondifferentiable convex optimization problem. In order to...</subscript></superscript></subscript>