Abstract | ||
---|---|---|
Corner cutting algorithms are used in different fields and, in particular, play a relevant role in Computer Aided Geometric
Design. Evaluation algorithms such as the de Casteljau algorithm for polynomials and the de Boor–Cox algorithm for B‐splines
are examples of corner cutting algorithms. Here backward and forward error analysis of corner cutting algorithms are performed.
The running error is also analyzed and as a consequence the general algorithm is modified to include the computation of an
error bound. |
Year | DOI | Venue |
---|---|---|
1999 | 10.1023/A:1019190220312 | Numerical Algorithms |
Keywords | Field | DocType |
corner cutting,roundoff error,de Casteljau algorithm,de Boor–Cox algorithm,backward error,forward error,condition number,running error | Condition number,Computer aided geometric design,Polynomial,General algorithm,Round-off error,Algorithm,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
22 | 1 | 1572-9265 |
Citations | PageRank | References |
14 | 1.40 | 6 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Esmeralda Mainar | 1 | 150 | 14.27 |
J. M. Peña | 2 | 681 | 72.88 |