Parametric Surface Modelling for Tea Leaf Point Cloud Based on Non-Uniform Rational Basis Spline Technique

Plant leaf 3D architecture changes during growth and shows sensitive response to environmental stresses. In recent years, acquisition and segmentation methods of leaf point cloud developed rapidly, but 3D modelling leaf point clouds has not gained much attention. In this study, a parametric surface...

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Main Authors: Wenchao Wu, Yongguang Hu, Yongzong Lu
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/21/4/1304
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author Wenchao Wu
Yongguang Hu
Yongzong Lu
author_facet Wenchao Wu
Yongguang Hu
Yongzong Lu
author_sort Wenchao Wu
collection DOAJ
description Plant leaf 3D architecture changes during growth and shows sensitive response to environmental stresses. In recent years, acquisition and segmentation methods of leaf point cloud developed rapidly, but 3D modelling leaf point clouds has not gained much attention. In this study, a parametric surface modelling method was proposed for accurately fitting tea leaf point cloud. Firstly, principal component analysis was utilized to adjust posture and position of the point cloud. Then, the point cloud was sliced into multiple sections, and some sections were selected to generate a point set to be fitted (PSF). Finally, the PSF was fitted into non-uniform rational B-spline (NURBS) surface. Two methods were developed to generate the ordered PSF and the unordered PSF, respectively. The PSF was firstly fitted as B-spline surface and then was transformed to NURBS form by minimizing fitting error, which was solved by particle swarm optimization (PSO). The fitting error was specified as weighted sum of the root-mean-square error (RMSE) and the maximum value (MV) of Euclidean distances between fitted surface and a subset of the point cloud. The results showed that the proposed modelling method could be used even if the point cloud is largely simplified (RMSE < 1 mm, MV < 2 mm, without performing PSO). Future studies will model wider range of leaves as well as incomplete point cloud.
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spelling doaj.art-c7b5ae1ba5b54a5ab7192896d7ed28432023-12-11T16:48:05ZengMDPI AGSensors1424-82202021-02-01214130410.3390/s21041304Parametric Surface Modelling for Tea Leaf Point Cloud Based on Non-Uniform Rational Basis Spline TechniqueWenchao Wu0Yongguang Hu1Yongzong Lu2Key Laboratory of Modern Agricultural Equipment and Technology, Ministry of Education Jiangsu Province, Jiangsu University, Zhenjiang 212013, ChinaKey Laboratory of Modern Agricultural Equipment and Technology, Ministry of Education Jiangsu Province, Jiangsu University, Zhenjiang 212013, ChinaKey Laboratory of Modern Agricultural Equipment and Technology, Ministry of Education Jiangsu Province, Jiangsu University, Zhenjiang 212013, ChinaPlant leaf 3D architecture changes during growth and shows sensitive response to environmental stresses. In recent years, acquisition and segmentation methods of leaf point cloud developed rapidly, but 3D modelling leaf point clouds has not gained much attention. In this study, a parametric surface modelling method was proposed for accurately fitting tea leaf point cloud. Firstly, principal component analysis was utilized to adjust posture and position of the point cloud. Then, the point cloud was sliced into multiple sections, and some sections were selected to generate a point set to be fitted (PSF). Finally, the PSF was fitted into non-uniform rational B-spline (NURBS) surface. Two methods were developed to generate the ordered PSF and the unordered PSF, respectively. The PSF was firstly fitted as B-spline surface and then was transformed to NURBS form by minimizing fitting error, which was solved by particle swarm optimization (PSO). The fitting error was specified as weighted sum of the root-mean-square error (RMSE) and the maximum value (MV) of Euclidean distances between fitted surface and a subset of the point cloud. The results showed that the proposed modelling method could be used even if the point cloud is largely simplified (RMSE < 1 mm, MV < 2 mm, without performing PSO). Future studies will model wider range of leaves as well as incomplete point cloud.https://www.mdpi.com/1424-8220/21/4/1304leaf point cloudsurface fittingprincipal component analysissliceparticle swarm optimization
spellingShingle Wenchao Wu
Yongguang Hu
Yongzong Lu
Parametric Surface Modelling for Tea Leaf Point Cloud Based on Non-Uniform Rational Basis Spline Technique
Sensors
leaf point cloud
surface fitting
principal component analysis
slice
particle swarm optimization
title Parametric Surface Modelling for Tea Leaf Point Cloud Based on Non-Uniform Rational Basis Spline Technique
title_full Parametric Surface Modelling for Tea Leaf Point Cloud Based on Non-Uniform Rational Basis Spline Technique
title_fullStr Parametric Surface Modelling for Tea Leaf Point Cloud Based on Non-Uniform Rational Basis Spline Technique
title_full_unstemmed Parametric Surface Modelling for Tea Leaf Point Cloud Based on Non-Uniform Rational Basis Spline Technique
title_short Parametric Surface Modelling for Tea Leaf Point Cloud Based on Non-Uniform Rational Basis Spline Technique
title_sort parametric surface modelling for tea leaf point cloud based on non uniform rational basis spline technique
topic leaf point cloud
surface fitting
principal component analysis
slice
particle swarm optimization
url https://www.mdpi.com/1424-8220/21/4/1304
work_keys_str_mv AT wenchaowu parametricsurfacemodellingfortealeafpointcloudbasedonnonuniformrationalbasissplinetechnique
AT yongguanghu parametricsurfacemodellingfortealeafpointcloudbasedonnonuniformrationalbasissplinetechnique
AT yongzonglu parametricsurfacemodellingfortealeafpointcloudbasedonnonuniformrationalbasissplinetechnique