Radial basis functions: basics, advanced topics and meshfree methods for transport problems.
Rational Bézier curves with infinitely many integral points
In this paper we consider rational Bézier curves with control points having rational coordinates and rational weights, and we give necessary and sufficient conditions for such a curve to have infinitely many points with integer coefficients. Furthermore, we give algorithms for the construction of these curves and the computation of theirs points with integer coefficients.
Rational interpolation: analytical solution.
Rationale Interpolation, Normalität und Monosplines.
Rationale Tschebyscheff-Approximation über unbeschränkten Intervallen.
Reconstruction of quadratic curves in 3-D from two or more perspective views.
Recurrent evaluation of integrals of the type , with respect to numerical stability
Recursive computation of certain integrals of elliptic type.
Reduced Piecewise Bivariate Hermite Interpolations.
Reference points based recursive approximation
The paper studies polynomial approximation models with a new type of constraints that enable to get estimates with significant properties. Recently we enhanced a representation of polynomials based on three reference points. Here we propose a two-part cubic smoothing scheme that leverages this representation. The presence of these points in the model has several consequences. The most important one is the fact that by appropriate location of the reference points the resulting approximant of two...
Reference points based transformation and approximation
Interpolating and approximating polynomials have been living separately more than two centuries. Our aim is to propose a general parametric regression model that incorporates both interpolation and approximation. The paper introduces first a new -point transformation that yields a function with a simpler geometrical structure than the original function. It uses reference points and decreases the polynomial degree by . Then a general representation of polynomials is proposed based on reference...
Reflection curves -- new computation and rendering techniques.
Reflections on spheres and cylinders of revolution.
Relation between algebraic and geometric view on NURBS tensor product surfaces
NURBS (Non-Uniform Rational B-Splines) belong to special approximation curves and surfaces which are described by control points with weights and B-spline basis functions. They are often used in modern areas of computer graphics as free-form modelling, modelling of processes. In literature, NURBS surfaces are often called tensor product surfaces. In this article we try to explain the relationship between the classic algebraic point of view and the practical geometrical application on NURBS.
Relèvement polynômial de traces et applications
Reliable Rational Interpolation.
Remainder Term in Chakalov-Popoviciu Quadratures of Radau and Lobatto Type and Influence Function
Remarks on a Monte Carlo Integration Method.
Remarks on some parallel computation for spline recurrence formulas.
Remarks on the evaluation of the Bessel functions from the recurrent formula