This book aims to develop algorithms of shape-preserving spline approximation for
curves/surfaces with automatic choice of the tension parameters. The resulting …

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 …

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 …

In this paper, a classical problem of the construction of a cubic G1 continuous interpolatory
spline curve is considered. The only data prescribed are interpolation points, while tangent …

This paper introduces a rational Fractal Interpolation Function (FIF), in the sense that it is
obtained using a rational cubic spline transformation involving two shape parameters, and …

An accurate expression for the free electron–electron bremsstrahlung (ee-brems) cross-
section was derived by Haug in 1975, but unfortunately it must be combined with a rather …

In this paper we develop and test a simple automatic algorithm for constructing curvature-
and torsion-continuous interpolants in R 3 which are shape-preserving in a sense that takes …

This article describes a general-purpose method for computing interpolating polynomial
splines with arbitrary constraints on their shape and satisfying separable or nonseparable …

Polynomial cubic splines with tension properties Page 1 Computer Aided Geometric Design 27
(2010) 592–610 Contents lists available at ScienceDirect Computer Aided Geometric Design …