Name
Title | ||
|---|---|---|
Corrigendum to "Rational rotation-minimizing frames on polynomial space curves of arbitrary degree" [J. Symbolic Comput. 45(8) (2010) 844-856]. |
Abstract | ||
|---|---|---|
The existence of rational rotation-minimizing frames on polynomial space curves is characterized by the satisfaction of a certain identity among rational functions. Part 2 of Remark 5.1 in the original paper states an inequality among the degrees of the denominators of these rational functions, but the proof given therein was incomplete. A formal proof of this inequality, which is essential to the complete categorization of rational rotation-minimizing frames on polynomial space curves, appears to be a rather formidable task. Since all known examples and special cases suggest that the inequality is correct, it is restated here as a conjecture rather than a definitive result, and some preliminary steps towards the proof are presented. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.jsc.2013.05.010 | Journal of Symbolic Computation |
Keywords | DocType | Volume |
Rotation-minimizing frames,Pythagorean-hodograph curves,Spatial motion planning,Quaternions,Polynomial identities | Journal | 58 |
ISSN | Citations | PageRank |
0747-7171 | 1 | 0.38 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rida T. Farouki | 1 | 1396 | 137.40 |
| Takis Sakkalis | 2 | 347 | 34.52 |