| Autor: |
Cross, Ben, Cripps, Robert J., Mullineux, Glen |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Cross, B, Cripps, R J & Mullineux, G 2022, ' C 1 and G 1 continuous rational motions using a conformal geometric algebra ', Journal of Computational and Applied Mathematics, vol. 412, 114280 . https://doi.org/10.1016/j.cam.2022.114280 |
| Popis: |
Traditional rational motion design describes separately the translation of a reference point in a body and the rotation of the body about it. This means that there is dependence upon the choice of reference point. When considering the derivative of a motion, some approaches require the transform to be unitary. This paper resolves these issues by establishing means for constructing free-form motions from specified control poses using multiplicative and additive approaches. It also establishes the derivative of a motion in the more general non-unitary case. This leads to a characterization of the motion at the end of a motion segment in terms of the end pose and the linear and angular velocity and this, in turn, leads to the ability to join motion segments together with either C1- or G1-continuity. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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