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Signal, Image and Video Processing

, Volume 6, Issue 3, pp 437–443 | Cite as

A fractional calculus approach for the evaluation of the golf lip-out

  • Micael S. CouceiroEmail author
  • Gonçalo Dias
  • Fernando M. L. Martins
  • J. Miguel A. Luz
Original Paper

Abstract

Golf is a sport in which competing players need to introduce the ball into the hole using the fewest number of strikes. However, this goal can sometimes be compromised when the ball suffers from lip-out phenomenon, that is, when the ball surrounds the hole’s edge without dropping in. Although some techniques may be presented in the literature to assess golfers’ performance (e.g., evaluation of the ball’s final position to the hole), none takes in consideration the putting lip-out. With this in mind, this article proposes a correction metric based on fractional calculus that considers past events in ball’s trajectory, thus slightly increasing player’s performance when putting lip-out occurs. On the opposite of integer derivatives which are considered as “local” operators, fractional derivatives implicitly have “memory” of all past events being well suited to describe the dynamic phenomena of ball’s trajectory. Therefore, this novel correction metric will provide a new virtual position of the ball based on its trajectory induced by the putting lip-out. This metric was evaluated analyzing the performance of 10 expert subjects who performed a total of 30 trials, with the lip-out occurring in 29 out of the 300 considered. Experimental results show an average improvement of 19.6 % in trials where the lip-out occurred and an average overall improvement of 1.82 % in player‘s performances, when applying the correction metric.

Keywords

Golf putting Lip-out Correction metric Fractional calculus 

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Copyright information

© Springer-Verlag London Limited 2012

Authors and Affiliations

  • Micael S. Couceiro
    • 1
    • 2
    Email author
  • Gonçalo Dias
    • 3
  • Fernando M. L. Martins
    • 4
    • 5
  • J. Miguel A. Luz
    • 4
  1. 1.RoboCorp, Department of Electrotechnical Engineering (DEE)Engineering Institute of Coimbra (ISEC)CoimbraPortugal
  2. 2.Institute of Systems and Robotics, Mobile Robotics LaboratoryUniversity of CoimbraCoimbraPortugal
  3. 3.RoboCorp, Faculty of Sport Sciences and Physical Education (FCDEF)University of Coimbra (UC)CoimbraPortugal
  4. 4.RoboCorp, Coimbra College of Education (ESEC)Politechnic Institute of CoimbraCoimbraPortugal
  5. 5.Instituto de Telecomunicações (Covilhã), DEECPolo II, Pinhal de Marrocos, Universidade de Coimbra (UC)CoimbraPortugal

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