Generation and Analysis of Handwriting Script with the Beta-Elliptic Model

Bezine, Hala; Alimi, Adel M.; Sherkat, Nasser

doi:10.1109/iwfhr.2004.45

Cited by 42 publications

(40 citation statements)

References 9 publications

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“…This model was exploited in the literature with good results for handwriting description [23,24], regeneration [25,26] and more recently OCR [27,28,29]. To the best of our knowledge, however, it has not been yet used for writer identification.…”

Section: Beta-elliptic Modelmentioning

confidence: 99%

A model-based approach to offline text-independent Arabic writer identification and verification

Abdi

Khemakhem

2015

Pattern Recognition

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Section: Beta-elliptic Modelmentioning

confidence: 99%

A model-based approach to offline text-independent Arabic writer identification and verification

Abdi

Khemakhem

2015

Pattern Recognition

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“…The beta -elliptic approach for 2D writing movement representation consists in modelling the trajectory by a combination of kinematic and geometric features (Bezine et al 2007;Kherallah et al 2008;Boubaker et al 2009Boubaker et al , 2010. The curvilinear velocity of the movement is reconstructed by overlapped beta signals (Alimi 1997) while the geometric representation is based on elliptic shapes.…”

Section: Beta-elliptic Model In 2dmentioning

confidence: 99%

“…Therefore, it seems difficult to evaluate the human movement because of the inability to link the movement parameters to the control by the central nervous system. In this paper, a new formalism is proposed to describe the trajectory of the hand frame by resorting to an extension in 3D of an efficient 2D representation of written language called the beta-elliptic model (Bezine et al 2007;Kherallah et al 2008). This formalism has the interesting feature that it allows to combine tightly the movement velocity profile with its purely geometric features and satisfies the velocity/curvature law (a proof is given in Annex 1) proposed in the literature (Viviani and Flash 1995;Vindras and Viviani 1998).…”

Section: Introductionmentioning

confidence: 99%

Spatiotemporal representation of 3D hand trajectory based on beta-elliptic models

Boubaker

Rezzoug

Kherallah

et al. 2014

Computer Methods in Biomechanics and Biomedical Engineering

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The aim of this paper was to model the hand trajectory during grasping by an extension in 3D of the 2D written language beta-elliptic model. The interest of this model is that it takes into account both geometric and velocity information. The method relies on the decomposition of the task space trajectories in elementary bricks. The latter is characterized by a velocity profile modelled with beta functions and a geometry modelled with elliptic shapes. A data base of grasping movements has been constructed and the errors of reconstruction were assessed (distance and curvature) considering two variations of the beta-elliptic model ('quarter ellipse' and 'two tangents points' method). The results showed that the method based on two tangent points outperforms the quarter ellipse method with average and maximum relative errors of 2.73% and 8.62%, respectively, and a maximum curvature error of 9.26% for the former. This modelling approach can find interesting application to characterize the improvement due to a rehabilitation or teaching process by a quantitative measurement of hand trajectory parameters.

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“…In such models, the evolution of a movement is typically de ned with point loci along the trajectory that function similarly to spline interpolation points, and which are commonly referred to as via-points. A number of models explicitly describe complex motions with the space-time superimposition of ballistic stroke primitives, where the speed pro le of a stroke follows a speci ed bell shaped function, such as a lognormal [37,38] or a beta function [7]. In such cases, the trajectory evolution is described with a sequence of positions that do not strictly lie along the rendered trajectory, but rather describe the aiming targets of consecutive strokes; these loci are comparable to the control points of a smoothing spline and are commonly called virtual targets.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Graffiti Stylisation with Stochastic Optimal Control

Berio

Calinon

Leymarie

2017

Proceedings of the 4th International Conference on Movement Computing

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We present a method for the interactive generation of stylised letters, curves and motion paths that are similar to the ones that can be observed in art forms such as gra ti and calligraphy. We de ne various stylisations of a le er form over a common geometrical structure, which is given by the spatial layout of a sparse sequence of targets. Di erent stylisations are then generated by optimising the trajectories of a dynamical system that tracks the target sequence.e evolution of the dynamical system is computed with a stochastic formulation of optimal control, in which each target is de ned probabilistically as a multivariate Gaussian. e covariance of each Gaussian explicitly de nes the variability as well as the curvilinear evolution of trajectory segments. Given this probabilistic formulation, the optimisation procedure results in a trajectory distribution rather than a single path. It is then possible to stochastically sample from the distribution an in nite number of dynamically and aesthetically consistent trajectories which mimic the variability that is typically observed in human drawing or writing. We further demonstrate how this system can be used together with a simple user interface in order to explore di erent stylisations of interactively or procedurally de ned le ers. CCS CONCEPTS•Computing methodologies →Procedural animation; •Humancentered computing →Gestural input; KEYWORDSHuman hand-writing movement modeling; procedural calligraphy; gra ti and tags generation; model predictive control; stochastic optimal control; smoothing splines; iconic and kinemic le er forms.

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Generation and Analysis of Handwriting Script with the Beta-Elliptic Model

Cited by 42 publications

References 9 publications

A model-based approach to offline text-independent Arabic writer identification and verification

A model-based approach to offline text-independent Arabic writer identification and verification

Spatiotemporal representation of 3D hand trajectory based on beta-elliptic models

Dynamic Graffiti Stylisation with Stochastic Optimal Control

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