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IAMS / NCTS Applied Math Seminar
 
14:00 - 15:00, December 30, 2015 (Wednesday)
R202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
Geometric Jolt Index of a Gyroscopic Signal - Application to Hips Rotation Fluency Estimation
Simone Fiori (Marche Polytechnic University)

The  fluency  of  hips  sway  has  recently  been  indicated  as  an  index  of  the  level  of  experience, muscular fatigue and mental stress of a professional athlete, as well as a possible index of the onset of a neurological syndrome (such as the Parkinson’s disease), of musculoskeletal disorders, and of rehabilitation progress in post-surgical patients. In sports science as well as in biomechanics, it is of prime importance to be able to acquire measures of body movements wirelessly. In the present  talk,  we  illustrate  a  smartphone-based  acquisition  procedure  as  well  as  a  wireless interface to a personal computer. Once the data have been acquired under the form of gyroscopic signals, it is necessary to process such signals through a mathematical algorithm that is able  to reveal the sought fluency feature. In the talk, we present a novel fluency index, termed “geometric jolt”, whose definition is based on the calculus on manifolds and that is computed as the second covariant  derivative  of  a  velocity  vector  field  over  the  special  orthogonal  group.


 

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