An evaluation algorithm for q-Bézier triangular patches formed by convex combinations

h-Bernstein basis functions over a triangular domain

(2020) P. Lamberti et al.   COMPUTER AIDED GEOMETRIC DESIGN

Geometric Properties and Algorithms for Rational q-Bézier Curves and Surfaces

(2020) Jorge Delgado et al.   Mathematics

Accurate bidiagonal decomposition of totally positive h-Bernstein-Vandermonde matrices and applications

(2019) Ana Marco et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Algorithm 960

(2016) Jorge Delgado et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Two essential properties of (q,h)-Bernstein–Bézier curves

(2015) Ron Goldman et al.   APPLIED NUMERICAL MATHEMATICS

Accurate Computations with Collocation Matrices of q-Bernstein Polynomials

(2015) Jorge Delgado et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Generating Functions for the $q$-Bernstein Bases

(2014) Ron Goldman et al.   SIAM JOURNAL ON DISCRETE MATHEMATICS

The Bernstein polynomial basis: A centennial retrospective

(2012) Rida T. Farouki   COMPUTER AIDED GEOMETRIC DESIGN

On the evaluation of rational triangular Bézier surfaces and the optimal stability of the basis

(2011) Jorge Delgado et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

q-Blossoming: A new approach to algorithms and identities for q-Bernstein bases and q-Bézier curves

(2011) Plamen Simeonov et al.   JOURNAL OF APPROXIMATION THEORY

Running Relative Error for the Evaluation of Polynomials

(2009) Jorge Delgado et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Tensor product q-Bernstein polynomials

(2008) Çetin Dişibüyük et al.   BIT NUMERICAL MATHEMATICS

Multivariate generalized Bernstein polynomials: identities for orthogonal polynomials of two variables

(2008) Stanisław Lewanowicz et al.   NUMERICAL ALGORITHMS