Modelling leaf surface reconstruction using Bernstein polynomials method

Oqielat, Moa’ath N.

doi:10.1007/s40314-020-01309-1

Cited by 5 publications

(3 citation statements)

References 16 publications

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“…Compared to the general interpolation and approximation algorithms, the new algorithm can be used to fit not only the ordered PSF but also the unordered PSF, while the general algorithms only can be applied to the ordered PSF. Previous studies ended up with Bezier or B-spline surface fitting [ 26 , 33 ], and the fitting error was fixed. However, a multi-objective optimization process, solved by PSO, was employed in this study to reduce fitting error by adjusting weights of control points, and the B-spline surface was transformed to NURBS form in the meantime.…”

Section: Discussionmentioning

confidence: 99%

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

2021

Sensors

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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 < 1mm, MV < 2mm, without performing PSO). Future studies will model wider range of leaves as well as incomplete point cloud.

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Section: Discussionmentioning

confidence: 99%

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

2021

Sensors

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“…Tong et al [30] used a volume-protecting technique to display drop streams by meta-balls. [11] presented a model for various drop transforming on a plane, and more works can be found in [3,10,[12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

“…Besides, they model a solitary drop movement on the Anthurium leaf. Furthermore, in [25] the authors fostered his past model to concentrate on a solitary drop movement on a Flame leaf. In the ongoing paper, we expanded our model given in [25] to research a different bead movement on Frangipani leaf surface, see Fig.…”

Section: Introductionmentioning

confidence: 99%

Towards a Model for Simulating Collision of Multiple Water Droplets Flow Down a Leaf Surface

Oqielat¹

2022

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In the current article, a physics-based mathematical model is presented to generate realistic trajectories of water droplets across the Frangipani leaf surface and can be applied on any other kind of leaves, which is the first in the series of two articles that we are going to present the second article later on. In the second article, we will study the collision between the droplet and the liquid streak. The model has many applications in different scientific and engineering fields, such as modelling pesticide movements on leaves surfaces and modeling absorption and nutrition systems. The leaf surface consists of a triangular mesh structure that needs to be constructed using different techniques such as a well-known technique called EasyMesh method. The leaf surface is constructed using surface fitting techniques, such as finite elements methods and Clough-Tocher method, using a set of 3D real-world data points collected by a laser scanner, and the motion of the droplet on each triangle is calculated using a derived equation of motion. The motion of the droplet affected different forces, such as gravity and drag forces. Simulations of the model were verified using Matlab programming, and the results seemed to be real and capture the droplet motion very well.

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Leaf Surface Reconstruction Using a Hybrid Interpolation Finite Element Method

Oqielat

2021

Int. J. Appl. Comput. Math

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Modelling leaf surface reconstruction using Bernstein polynomials method

Cited by 5 publications

References 16 publications

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

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

Towards a Model for Simulating Collision of Multiple Water Droplets Flow Down a Leaf Surface

Leaf Surface Reconstruction Using a Hybrid Interpolation Finite Element Method

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