Analysis of Various Fractional Order Derivatives Approaches in
Assessment of Graphomotor Difficulties

J 2020

Analysis of Various Fractional Order Derivatives Approaches in Assessment of Graphomotor Difficulties

MUCHA, Ján, Jiří MEKYSKA, Zoltán GALÁŽ, Marcos FAUNDEZ-ZANUY, Vojtěch ZVONČÁK et. al.

Basic information

Original name

Analysis of Various Fractional Order Derivatives Approaches in Assessment of Graphomotor Difficulties

Authors

MUCHA, Ján (703 Slovakia, guarantor), Jiří MEKYSKA (203 Czech Republic), Zoltán GALÁŽ (703 Slovakia), Marcos FAUNDEZ-ZANUY (724 Spain), Vojtěch ZVONČÁK (203 Czech Republic), Katarína ŠAFÁROVÁ (703 Slovakia, belonging to the institution), Tomáš URBÁNEK (203 Czech Republic, belonging to the institution), Jana Marie HAVIGEROVÁ (203 Czech Republic, belonging to the institution), Jiřina BEDNÁŘOVÁ (203 Czech Republic) and Zdeněk SMÉKAL (203 Czech Republic)

Edition

IEEE Access, USA, IEEE Xplore Digital Library, 2020, 2169-3536

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

50102 Psychology, special ;

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL URL

Impact factor

Impact factor: 3.367

RIV identification code

RIV/00216224:14210/20:00114562

Organization unit

Faculty of Arts

DOI

http://dx.doi.org/10.1109/ACCESS.2020.3042591

UT WoS

000598238200001

Keywords in English

fractional calculus; fractional order derivatives; graphomotor difficulties; graphonomics; online handwriting

Abstract

V originále

Graphomotor disabilities (GD) are present in up to 30% of school-aged children and are associated with several symptoms in the field of kinematics. Although the basic kinematic features such as velocity, acceleration, and jerk were proved to effectively quantify these symptoms, a recent body of research identified that the theory of fractional calculus can be used to even improve the objective GD assessment. The goal of this study is to extend the current knowledge in this field and explore the abilities of several fractional order derivatives (FD) approximations to estimate the severity of GD in the children population. We enrolled 85 children attending the 3rd and 4th grade of primary school, who performed a combined loop task on a digitizing tablet. Their performance was rated by psychologists and the online handwriting signals were parametrised by kinematic features utilising three FD approximations: Grünwald-Letnikov’s, Riemann–Liouville’s, and Caputo’s. In this study, we showed the differences across the employed FD approaches for the same kinematic handwriting features and their potential in GD analysis. The results suggest that the Riemann-Liouville’s approximation in the field of quantitative GD analysis outperforms the other ones. Using this approach, we were able to estimate the overall score with a low error of 0.65 points, while the scale range is 4. In fact, the psychologists tend to make the error even higher.

Links

GA18-16835S, research and development project

Name: Výzkum pokročilých metod diagnózy a hodnocení vývojové dysgrafie založených na kvantitativní analýze online písma a kresby (Acronym: DiagnosisDysgraphia)

Investor: Czech Science Foundation

Citovat

MUCHA, Ján, Jiří MEKYSKA, Zoltán GALÁŽ, Marcos FAUNDEZ-ZANUY, Vojtěch ZVONČÁK, Katarína ŠAFÁROVÁ, Tomáš URBÁNEK, Jana Marie HAVIGEROVÁ, Jiřina BEDNÁŘOVÁ and Zdeněk SMÉKAL. Analysis of Various Fractional Order Derivatives Approaches in Assessment of Graphomotor Difficulties. IEEE Access. USA: IEEE Xplore Digital Library, 2020, vol. 8, prosinec, p. 1-11. ISSN 2169-3536. Available from: https://dx.doi.org/10.1109/ACCESS.2020.3042591.

@article{1707737,
   author = {Mucha, Ján and Mekyska, Jiří and Galáž, Zoltán and FaundezandZanuy, Marcos and Zvončák, Vojtěch and Šafárová, Katarína and Urbánek, Tomáš and Havigerová, Jana Marie and Bednářová, Jiřina and Smékal, Zdeněk},
   article_location = {USA},
   article_number = {prosinec},
   doi = {http://dx.doi.org/10.1109/ACCESS.2020.3042591},
   keywords = {fractional calculus; fractional order derivatives; graphomotor difficulties; graphonomics; online handwriting},
   language = {eng},
   issn = {2169-3536},
   journal = {IEEE Access},
   title = {Analysis of Various Fractional Order Derivatives Approaches in Assessment of Graphomotor Difficulties},
   url = {https://ieeexplore.ieee.org/document/9281290?source=authoralert},
   volume = {8},
   year = {2020}
}

TY  - JOUR
ID  - 1707737
AU  - Mucha, Ján - Mekyska, Jiří - Galáž, Zoltán - Faundez-Zanuy, Marcos - Zvončák, Vojtěch - Šafárová, Katarína - Urbánek, Tomáš - Havigerová, Jana Marie - Bednářová, Jiřina - Smékal, Zdeněk
PY  - 2020
TI  - Analysis of Various Fractional Order Derivatives Approaches in Assessment of Graphomotor Difficulties
JF  - IEEE Access
VL  - 8
IS  - prosinec
SP  - 1-11
EP  - 1-11
PB  - IEEE Xplore Digital Library
SN  - 21693536
KW  - fractional calculus
KW  - fractional order derivatives
KW  - graphomotor difficulties
KW  - graphonomics
KW  - online handwriting
UR  - https://ieeexplore.ieee.org/document/9281290?source=authoralert
N2  - Graphomotor disabilities (GD) are present in up to 30% of school-aged children and are associated with several symptoms in the field of kinematics. Although the basic kinematic features such as velocity, acceleration, and jerk were proved to effectively quantify these symptoms, a recent body of research identified that the theory of fractional calculus can be used to even improve the objective GD assessment. The goal of this study is to extend the current knowledge in this field and explore the abilities of several fractional order derivatives (FD) approximations to estimate the severity of GD in the children population. We enrolled 85 children attending the 3rd and 4th grade of primary school, who performed a combined loop task on a digitizing tablet. Their performance was rated by psychologists and the online handwriting signals were parametrised by kinematic features utilising three FD approximations: Grünwald-Letnikov’s, Riemann–Liouville’s, and Caputo’s. In this study, we showed the differences across the employed FD approaches for the same kinematic handwriting features and their potential in GD analysis. The results suggest that the Riemann-Liouville’s approximation in the field of quantitative GD analysis outperforms the other ones. Using this approach, we were able to estimate the overall score with a low error of 0.65 points, while the scale range is 4. In fact, the psychologists tend to make the error even higher.
ER  -

MUCHA, Ján, Jiří MEKYSKA, Zoltán GALÁŽ, Marcos FAUNDEZ-ZANUY, Vojtěch ZVONČÁK, Katarína ŠAFÁROVÁ, Tomáš URBÁNEK, Jana Marie HAVIGEROVÁ, Jiřina BEDNÁŘOVÁ and Zdeněk SMÉKAL. Analysis of Various Fractional Order Derivatives Approaches in Assessment of Graphomotor Difficulties. \textit{IEEE Access}. USA: IEEE Xplore Digital Library, 2020, vol.~8, prosinec, p.~1-11. ISSN~2169-3536. Available from: https://dx.doi.org/10.1109/ACCESS.2020.3042591.

Detailed Information on Publication Record