Topics in matrix analysis
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
Efficient algorithms for Bézier curves
Computer Aided Geometric Design
A shape preserving representation with an evaluation algorithm of linear complexity
Computer Aided Geometric Design
Computer Aided Geometric Design
Conversion and evaluation for two types of parametric surfaces constructed by NTP bases
Computers & Mathematics with Applications
Running error for the evaluation of rational Bézier surfaces
Journal of Computational and Applied Mathematics
| Hi-index | 7.29 |
Backward stability of the Casteljau algorithm and two more efficient algorithms for polynomial tensor product surfaces with interest in CAGD is shown. The conditioning of the corresponding bases are compared. These algorithms are also compared with the corresponding Horner algorithm and their higher accuracy is shown. A running error analysis of the algorithms is also carried out providing algorithms which calculate ''a posteriori'' sharp error bounds simultaneously to the evaluation of the surface without increasing significantly the computational cost.