| dc.contributor.author |
Al-kandari, M |
en |
| dc.contributor.author |
Sakkalis, T |
en |
| dc.date.accessioned |
2014-06-06T06:44:57Z |
|
| dc.date.available |
2014-06-06T06:44:57Z |
|
| dc.date.issued |
2002 |
en |
| dc.identifier.uri |
http://dx.doi.org/10.1016/S0167-8396(02)00123-1 |
en |
| dc.identifier.uri |
http://62.217.125.90/xmlui/handle/123456789/2173 |
|
| dc.subject |
Canonical Form |
en |
| dc.subject |
Computer Aided Design |
en |
| dc.subject |
End Milling |
en |
| dc.subject |
Euclidean Space |
en |
| dc.subject |
Three Dimensional |
en |
| dc.subject |
Pythagorean Hodograph |
en |
| dc.subject |
Real Time |
en |
| dc.title |
Structural invariance of spatial Pythagorean hodographs |
en |
| heal.type |
journalArticle |
en |
| heal.identifier.primary |
10.1016/S0167-8396(02)00123-1 |
en |
| heal.publicationDate |
2002 |
en |
| heal.abstract |
The structural invariance of the four-polynomial characterization for three-dimensional Pythagorean hodographs introduced by Dietz et al. (1993), under arbitrary spatial rotations, is demonstrated. The proof relies on a factored-quaternion representation for Pythagorean hodographs in three-dimensional Euclidean space—a particular instance of the “PH representation map” proposed by Choi et al. (2002)—and the unit quaternion description of spatial rotations. This approach furnishes |
en |
| heal.journalName |
Computer Aided Geometric Design |
en |
| dc.identifier.doi |
10.1016/S0167-8396(02)00123-1 |
en |