Computing binomial coefficients
American Mathematical Monthly
On the numerical condition of polynomials in Berstein form
Computer Aided Geometric Design
ACM Transactions on Graphics (TOG)
Algorithms for polynomials in Bernstein form
Computer Aided Geometric Design
The numerical problem of using Be´zier curves and surfaces in the power basis
Computer Aided Geometric Design
Computer Aided Geometric Design
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
On the stability of transformations between power and Bernstein polynomial forms
Computer Aided Geometric Design
The C++ programming language (2nd ed.)
The C++ programming language (2nd ed.)
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Polynomial real root finding in Bernstein form
Polynomial real root finding in Bernstein form
On the optimal stability of the Bernstein basis
Mathematics of Computation
Physical constraints on feedrates and feed accelerations along curved tool paths
Computer Aided Geometric Design
Legendre-Bernstein basis transformations
Journal of Computational and Applied Mathematics - Special issue/Dedicated to Prof. Larry L. Schumaker on the occasion of his 60th birthday
Solving Algebraic Systems in Bernstein-Bézier Representation
CG '91 Proceedings of the International Workshop on Computational Geometry - Methods, Algorithms and Applications
Explicit formula for improved filter sharpening polynomial
IEEE Transactions on Signal Processing
Computer Aided Geometric Design
Topologically consistent trimmed surface approximations based on triangular patches
Computer Aided Geometric Design
An algorithm for smoothing three-dimensional Monte Carlo ion implantation simulation results
Mathematics and Computers in Simulation - Special issue: Selected papers from the 4th IMACS symposium on mathematical modelling (4th MATHMOD)
Robust plotting of generalized lemniscates
Applied Numerical Mathematics
Multivariate resultants in Bernstein basis
ADG'08 Proceedings of the 7th international conference on Automated deduction in geometry
The Bernstein polynomial basis: A centennial retrospective
Computer Aided Geometric Design
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The design, implementation, and testing of a C++ software library for univriate polynomials in Bernstein form is described. By invoking the class environment and operator overloading, each polynomial in an expression is interpreted as an object compatible with the arithmetic operations and other common functions (subdivision, degree, elevation, differentiation and integration, compoistion, greatest common divisor, real-root solving, etc.) for polynomials in Bernstein form. The library allows compact and intuitive implementation of lengthy manipulation of Bernstein-form polynomials, which often arise in computer graphics and computer-aided design and manufacturing applications. A series of empirical tests indicates that the library functions are typically very accurate and reliable, even for polynomials of surprisingly high degree.