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.

Základní údaje

Originální název

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

Autoři

MUCHA, Ján; Jiří MEKYSKA; Zoltán GALÁŽ; Marcos FAUNDEZ-ZANUY; Vojtěch ZVONČÁK; Katarína ŠAFÁROVÁ; Tomáš URBÁNEK; Jana Marie HAVIGEROVÁ; Jiřina BEDNÁŘOVÁ a Zdeněk SMÉKAL

Vydání

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

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

50102 Psychology, special

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL, URL

Impakt faktor

Impact factor: 3.367

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14210/20:00114562

Organizační jednotka

Filozofická fakulta

Klíčová slova anglicky

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

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 22. 4. 2021 10:38, Mgr. Igor Hlaváč

Anotace

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.

Návaznosti

GA18-16835S, projekt VaV

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

Investor: Grantová agentura ČR, Výzkum pokročilých metod diagnózy a hodnocení vývojové dysgrafie založených na kvantitativní analýze online písma a kresby

Citovat

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

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