… In this paper, a set of partial shape-preserving (PSP) spline basis functions is introduced
to … spline basis functions can be considered as a kind of generalization of traditional B -spline …

… and convexity implied by the data interpolated by the spline. This is incontrast to previously
defined … splines along the grid lines and then uses the splines to define z and its first partial …

… family of univariate splines (variable-degree splines), which is … two criteria for shape-preserving
interpolation on smooth surfaces… Next, §3 introduces a family of on-surface splines via …

… The monotonicity condition implies that all partial derivatives of the spline have to be non-neg…
, their partial derivatives are multiples of the derivatives of the univariate T-splines, which …

… This may be partially attributed to the fact that introducing … Given that working with low-degree
polynomial splines seems … spline, namely, the cubic spline, for spatial shape-preserving …

… conditions for a shape preserving rational cubic fractal … A visual illustration of the shape
preserving fractal curves is … FIFs (ii) shape preserving rational cubic fractal splines. In the present …

… The spline case is completely excluded in the present book, … details concerning shape-preserving
properties of splines can … that shape-preserving approximation by splines deserves a …

… This section analyzes some important shape preserving representations of surfaces. Shape
… methods for fair and shape-preserving surface fitting with tensor-product B-splines, both for …

… We consider the set of spline functions S n r , r + [ r 2 ] ( D , T ) = { v ∈ C r ( D ) : v | T ∈ S n
[ … The problem is that we do not know the partial derivatives of s f inside H ∗ since s f is not …

… shape-preserving interpolation discussed in this paper is to find monotone, convex, or positive
spline … considered as the first partial Mij derivatives of the spline interpolant with respect to …