Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6861263 | Journal of Symbolic Computation | 2013 | 4 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Rida T. Farouki, Takis Sakkalis,