Gibanja z racionalnimi zlepki nizkih stopenj / Rational spline motions of a low degree
Naziv Tittle |
Gibanja z racionalnimi zlepki nizkih stopenj / Rational spline motions of a low degree |
Akronim Acronim |
BI-US/19-21-015 |
Opis Description |
(SI) Konstrukcija gibanja togega telesa je običajno razdeljena na dva dela - na rotacijski (sferični) in translacijski del. Številne interpolacijske pristope, ki jih poznamo za konstrukcijo krivulj lahko direktno posplošimo za konstrukcijo gibanj, vendar je potrebno poudariti, da ima tak pristop kar nekaj pomanjkljivosti, saj je npr. tako dobljeno gibanje relativno visoke stopnje (zaradi velike stopnje tako dobljenega rotacijskega dela). Ena izmed možnosti, za konstrukcijo gibanj nizkih stopenj je uporaba geometrijske interpolacije. V teku projekta načrtujemo razviti novo shemo za konstrukcijo gibanja nizke stopnje z uporabo geometrijske interpolacije. Ravno tako načrtujemo raziskati nove sheme z uporabo dualnih kvaternionov. (EN) The rigid body motion structure is usually divided into two parts - the rotational (spherical) part and the translational part. Many of the interpolation approaches we know for the construction of curves can be directly generalized to the construction of motions, but it should be noted that this approach has some drawbacks, e.g. the resulting motion is of relatively high degree (due to the high degree of the rotational part so obtained). One possibility for the construction of low degree motions is to use geometric interpolation. In the course of the project, we plan to develop a new scheme for the construction of low degree motion using geometric interpolation. We also plan to investigate new schemes using dual quaternions. |
Trajanje Duration |
01/10/2019 - 30/09/2021 |
Vodja projekta Project Leader |
Karla Ferjančič |
Sodelujoče organizacije Participating organizations |
Mississippi State University |
Oddelek Department |
Oddelek za matematiko IAM |