The target audience of this book are computer scientists, system architects, knowledge
engineers and programmers, who face a problem of combining various inputs into a single …

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

An algorithm is presented for locally fairing B-spline curves. The algorithm is based on
repeatedly removing and reinserting knots of the spline. These knots are selected …

The construction of spline functions possessing certain shapes like monotonicity, convexity
or nonnegativity is an important concern in data representation and computer-aided design …

A review of shape preserving approximation methods and algorithms for approximating
univariate functions or discrete data is given. The notion of 'shape'refers to the geometrical …

Abstract In [11, 13] we introduced a basis of B-splines for the exponential splines in tension
considered by Schweikert already in 1966. For interpolation with these basis functions we …

In this paper we present a simple automatic algorithm for constructing C2 continuous planar
parametric interpolants, which preserve the local-convexity information contained in the …

Least squares polynomial splines are an effective tool for data fitting, but they may fail to
preserve essential properties of the underlying function, such as monotonicity or convexity …

A hyperbolic tension spline is defined as the solution of a differential multipoint boundary
value problem. A discrete hyperbolic tension spline is obtained using the difference …

The monotonically and convexly constrained (MONCON) weighted v-spline interpolant is
presented, which is the C 1 piecewise cubic solution to a constrained optimization problem …