Projective geometry for human motion, with an application to injury risk
| dc.creator | Laurie, Henri | |
| dc.creator | Penne, Rudi | |
| dc.date | 2004-06-11 | |
| dc.date.accessioned | 2026-07-07T05:58:29Z | |
| dc.date.available | 2026-07-07T05:58:29Z | |
| dc.description | We give an exposition of Plucker vectors for a system of joint axes in projective 3-space. We use Plucker vectors to analyse dependencies among joint axes, and in particular show that two rotational joints rigidly joined by a bar and each with 3 degrees of freedom always forms a 5-dimensional system. We introduce the concept of reduced redundancy in a dependent set of projective Lines, and argue that reduced redundancy in the axes of a body position increases injury risk. We apply this to a simple two-joint model of bowling in cricket, and show by analysis of some experimental data that reduced redundancy around ball release is observed in some cases. | |
| dc.description | 19 pp, 4 figs. To be published in SIAM Journal on Applied Mathematics | |
| dc.identifier | https://arxiv.org/abs/q-bio/0406024 | |
| dc.identifier | http://arxiv.org/abs/q-bio/0406024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/88373 | |
| dc.subject | Quantitative Methods | |
| dc.subject | Other Quantitative Biology | |
| dc.title | Projective geometry for human motion, with an application to injury risk | |
| dc.type | text |