TO DRAW OR NOT TO DRAW: UNDERSTANDING THE TEMPORAL ORGANIZATION OF DRAWING BEHAVIOR USING FRACTAL ANALYSES

Author:

BELTZUNG BENJAMIN1,MARTINET LISON1,MACINTOSH ANDREW J. J.2,MEYER XAVIER12,HOSSELET JÉRÔME1,PELÉ MARIE3,SUEUR CÉDRIC14

Affiliation:

1. Université de Strasbourg, CNRS, IPHC UMR 7178, 67000 Strasbourg, France

2. Kyoto University, Wildlife Research Center, Inuyama Campus, Inuyama, Japan

3. ANTHROPO-LAB, ETHICS EA 7446, Université Catholique de Lille, F-59000 Lille, France

4. Institut Universitaire de France, Paris, France

Abstract

Studies on drawing often focused on spatial aspects of the finished products. Here, the drawing behavior was studied by analyzing its intermittent process, between drawing (i.e. marking a surface) and interruption (i.e. a pause in the marking gesture). To assess how this intermittence develops with age, we collected finger-drawings on a touchscreen by 185 individuals (children and adults). We measured the temporal structure of each drawing sequence to determine its complexity. To do this, we applied temporal fractal estimators to each drawing time series before combining them in a Principal Component Analysis procedure. The youngest children (3-year-old) drew in a more stereotypical way with long-range dependence detected in their alternations between states. Among older children and adults, the complexity of drawing sequences increased showing a less predictable behavior as their drawings become more detailed and figurative. This study improves our understanding of the temporal aspects of drawing behavior, and contributes to an objective understanding of its ontogeny.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

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