… This document facilitates understanding of core concepts about uniform B-spline and its
matrix representation. All the contents are borrowed from [1, 3–5] and rephrased such that …

… Thus, when evaluating a B-spline defined on a uniform, or nearly uniform, mesh, we would
… that, at least for uniform meshes, the conditioning of the B-spline basis is independent of the …

… the complexity of the BSpline computation to a large … Uniform B-Spline curves has
been proposed in [10] and a unified architecture to compute uniform rational/non-rational B-Spline …

… penalty as transparent as possible, we present Section 2.2 as a tutorial by working through
… p⋆ = 3d uniform B-splines on 4d equidistant knots. To make g(x) smooth, we take B-spline …

… uniform hots and unit spacing. The remarkable result, due to Schoenberg [70], is that these
splines are uniquely characterized in terms of a B-spline … with the B-spline representation, at …

… gam that calls B-spline and natural spline functions from splines package. A B-spline with 3
… defined with four interior knots, resulting in a B-spline with 7 degrees of freedom and a less …

… Cardinal B-splines, ie, B-splines with uniform knots, … B-spline of degree 2 is also called
a quadratic B-spline. Using the recurrence relation (1.1), the three pieces of the quadratic B-spline …

… called NURBS surfaces (non uniform rational B-splines). … This paper presents a new triangular
B-spline scheme that allows … B-spline scheme described in this paper [17, 33, 34, 70, 72], …

… three times longer than B-Spline) it is not used in the final application. The authors used B-Spline
method to make … First, B-Spline curves and NURBS polynomials (Non Uniform Rational …

… where u for B-spline curves and u and u for B-spline surfaces are … A B-spline curve is
completely defined by its order k (k - 1 … a uniform database, it is better to use surfaces in B-spline …