Data‐dependent interpolatory techniques can be used in the reconstruction step of a
multiresolution scheme designed “à la Harten”. In this paper we carefully analyze the class …

The aim of this paper is to describe applications of variable degree polynomials in the area
of curve and surface construction. These polynomials have the same simple structure and …

Shape Preserving Interpolation by Curves Page 1 UNCLASSIFIED Defense Technical Information
Center Compilation Part Notice ADP013711 TITLE: Shape Preserving Interpolation by Curves …

The paper presents a method for the recursive computation of models with a continuum of
heterogeneous agents. Following the literature, it is assumed that the cross-sectional …

This paper proposes a framework for constructing G1 surfaces that interpolate data points on
parallel cross sections, consisting of simple disjoined and non-nested contours, the number …

This paper proposes two, geodesic-curvature based, criteria for shape-preserving
interpolation on smooth surfaces, the first criterion being of non-local nature, while the …

In this paper a class of C2∩ FC3 spline curves possessing tension properties is described.
These curves can be constructed using a simple modification of the well-known geometric …

This paper studies the notion of convexity preservation in the context of point-normal
interpolation in 2D. It is proved that G 1-continuous piecewise generalized cubic curves in …

A new approach to generating a non-planar shape-preserving interpolating curve is
presented. The resulting curve is a piecewise rational cubic that is G2 continuous. It is …

We investigate parametric and nonparametric cubic L1 interpolating spline curves (“L1
splines”) in two and three dimensions with the goal of achieving shape-preserving …