On finding optimal parameters of an oscillatory model of handwriting
RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 4, pp. 509-520.

In this paper, we show how optimization methods can be used efficiently to determine the parameters of an oscillatory model of handwriting. Because these methods have to be used in real-time applications, this involves that the optimization problems must be rapidely solved. Hence, we developed an original heuristic algorithm, named FHA. This code was validated by comparing it (accuracy/CPU-times) with a multistart method based on Trust Region Reflective algorithm.

DOI : 10.1051/ro/2014020
Classification : 90C90, 90C30, 90-08
Mots-clés : handwriting model, nonlinear programming, heuritic method, multistart method 
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     title = {On finding optimal parameters of an oscillatory model of handwriting},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {509--520},
     publisher = {EDP-Sciences},
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André, Gaëtan; Messine, Frédéric. On finding optimal parameters of an oscillatory model of handwriting. RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 4, pp. 509-520. doi : 10.1051/ro/2014020. http://archive.numdam.org/articles/10.1051/ro/2014020/

[1] G. André, www.irit.fr/∼Gaetan.Andre/publications.php.

[2] T.F. Coleman and Y. Li, An interior trust region approach for nonlinear minimization subject to bounds. SIAM J. Opt. 6 (1993) 418-445. | MR | Zbl

[3] T.F. Coleman and Y. Li, On the convergence of interior-reflective Newton methods for nonlinear minimization subject to bounds. Math. Program. 67 (1994) 189-224. | MR | Zbl

[4] E. Gilet, Modélisation bayésienne d'une boucle de perception action : Application al'écriture (Bayesian Modelisation of a sensori-motor loop: application to reading and handwriting). Thesis, Joseph, Fourier University, Grenoble, France (2009).

[5] J.M. Hollerbach, An oscillatory theory of handwriting. Biol. Cybern. 156 (1981) 139-156.

[6] M. Longcamp et al., The imprint of action: motor cortex involvement in visual perception of handwritten letters. NeuroImage 23 (2006) 681-688.

[7] R. Plamondon et al., Modelling velocity profiles of rapid movements: a comparative study. Biol. Cybern. 69 (1993) 119-128.

[8] R. Plamondon, On-Line and Off-Line, Handwriting Recognition: A Comprehensive Survey. IEEE Trans. Pattern Anal. Mach. Intell. 22 (2000) 63-84.

[9] T. Plötz and G. Fink, Markov models for offline handwriting recognition: a survey. Int. J. Doc. Anal. Recogn. (IJDAR) 12 (2009) 169-298.

[10] P. Viviani and T. Flash, Minimum-jerk, two-thirds power law, and isochrony: converging approaches to movement planning. J. Exp. Psychol. Hum. Percept. Perform. 21 (1995) 32-53.

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