Calligraphy Brush Trajectory Control of by a Robotic Arm

This study proposed a calligraphy brush trajectory model for the behavior of brush movements and provided the three-dimensional handle coordinates for a robotic arm to write calligraphy. This study dealt with basic footprints and bent lines of calligraphy and proceeded as follows. The shape of brush...

Full description

Bibliographic Details
Main Authors: Hsien-I Lin, Xuechao Chen, Tian-Tsai Lin
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/23/8694
_version_ 1797545642885644288
author Hsien-I Lin
Xuechao Chen
Tian-Tsai Lin
author_facet Hsien-I Lin
Xuechao Chen
Tian-Tsai Lin
author_sort Hsien-I Lin
collection DOAJ
description This study proposed a calligraphy brush trajectory model for the behavior of brush movements and provided the three-dimensional handle coordinates for a robotic arm to write calligraphy. This study dealt with basic footprints and bent lines of calligraphy and proceeded as follows. The shape of brush footprints on paper was measured, which provided the positions of the brush relative to its handle. These brush footprints were scanned and corrected for skew using the Direct Linear Transformation. The outer frame of each basic footprint was characterized using Bézier curves. Bent lines were drawn to derive the brush trajectory model, and it was used to derive the relationship between the trajectories of the brush and handle. By characterizing the changes in the footprints with handle displacement, we obtained the relationship between the handle coordinates and the position and shape of the brush footprints. The written characters were evaluated based on their size, position, and stroke balance, with a maximum score of 100 in each category. The average score of the “Yong” character written using our brush trajectory model was approximately 94 points; when the handle coordinates were fixed to the center of each footprint, the average score was only 88 points.
first_indexed 2024-03-10T14:19:10Z
format Article
id doaj.art-1b914a80b4fa486fb030e484d261d80f
institution Directory Open Access Journal
issn 2076-3417
language English
last_indexed 2024-03-10T14:19:10Z
publishDate 2020-12-01
publisher MDPI AG
record_format Article
series Applied Sciences
spelling doaj.art-1b914a80b4fa486fb030e484d261d80f2023-11-20T23:31:25ZengMDPI AGApplied Sciences2076-34172020-12-011023869410.3390/app10238694Calligraphy Brush Trajectory Control of by a Robotic ArmHsien-I Lin0Xuechao Chen1Tian-Tsai Lin2Graduate Institute of Automation Technology, National Taipei University of Technology, Taipei 106, TaiwanBeijing Institute of Technology, Beijing 100811, ChinaGraduate Institute of Automation Technology, National Taipei University of Technology, Taipei 106, TaiwanThis study proposed a calligraphy brush trajectory model for the behavior of brush movements and provided the three-dimensional handle coordinates for a robotic arm to write calligraphy. This study dealt with basic footprints and bent lines of calligraphy and proceeded as follows. The shape of brush footprints on paper was measured, which provided the positions of the brush relative to its handle. These brush footprints were scanned and corrected for skew using the Direct Linear Transformation. The outer frame of each basic footprint was characterized using Bézier curves. Bent lines were drawn to derive the brush trajectory model, and it was used to derive the relationship between the trajectories of the brush and handle. By characterizing the changes in the footprints with handle displacement, we obtained the relationship between the handle coordinates and the position and shape of the brush footprints. The written characters were evaluated based on their size, position, and stroke balance, with a maximum score of 100 in each category. The average score of the “Yong” character written using our brush trajectory model was approximately 94 points; when the handle coordinates were fixed to the center of each footprint, the average score was only 88 points.https://www.mdpi.com/2076-3417/10/23/8694calligraphy brush trajectory modelrobotic armdirect linear transformationBézier curves
spellingShingle Hsien-I Lin
Xuechao Chen
Tian-Tsai Lin
Calligraphy Brush Trajectory Control of by a Robotic Arm
Applied Sciences
calligraphy brush trajectory model
robotic arm
direct linear transformation
Bézier curves
title Calligraphy Brush Trajectory Control of by a Robotic Arm
title_full Calligraphy Brush Trajectory Control of by a Robotic Arm
title_fullStr Calligraphy Brush Trajectory Control of by a Robotic Arm
title_full_unstemmed Calligraphy Brush Trajectory Control of by a Robotic Arm
title_short Calligraphy Brush Trajectory Control of by a Robotic Arm
title_sort calligraphy brush trajectory control of by a robotic arm
topic calligraphy brush trajectory model
robotic arm
direct linear transformation
Bézier curves
url https://www.mdpi.com/2076-3417/10/23/8694
work_keys_str_mv AT hsienilin calligraphybrushtrajectorycontrolofbyaroboticarm
AT xuechaochen calligraphybrushtrajectorycontrolofbyaroboticarm
AT tiantsailin calligraphybrushtrajectorycontrolofbyaroboticarm