Bivariate B-Splines from Convex Pseudo-circle Configurations

Abstract

An order-k univariate B-spline is a parametric curve defined over a set S of at least \\(k+2\\) real parameters, called knots. Such a B-spline can be obtained as a linear combination of basic B-splines, each of them being defined over a subset of \\(k+2\\) consecutive knots of S, called a configuration of S.