We describe a Fortran-77 software package for constructing a $C^1$ convex surface that interpolates a convex data set consisting of data values at arbitrarily distributed points in the plane (nodes) such that there exists a triangulation of the nodes for which the triangle-based piecewise linear interpolant is convex. The method consists of constructing this data-dependent triangulation, computing a set of nodal gradients for which there exists a convex piecewise linear Hermite interpolant $H$ of the nodal values and gradients, and applying convolution smoothing to $H$. (Source: http://dl.acm.org/)

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 1 article , 1 standard article )

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  1. Renka, Robert J.: Algorithm 833: CSRFPACK -- interpolation of scattered data with a $C^1$ convexity-preserving surface (2004)