On the numerical condition of polynomials in Berstein form
Computer Aided Geometric Design
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
On Wachspress quadrilateral patches
Computer Aided Geometric Design
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
Rounding Errors in Algebraic Processes
Rounding Errors in Algebraic Processes
SIAM Journal on Scientific Computing
Error analysis of efficient evaluation algorithms for tensor product surfaces
Journal of Computational and Applied Mathematics
Running error for the evaluation of rational Bézier surfaces through a robust algorithm
Journal of Computational and Applied Mathematics
| Hi-index | 7.29 |
Error analysis of the usual method to evaluate rational Bezier surfaces is performed. The corresponding running error analysis is also carried out and the sharpness of our running error bounds is shown. We also modify the evaluation algorithm to include such error bounds without increasing significantly its computational cost.