Surface fitting methods for modelling leaf surface from scanned data

Oqielat, Moa’ath N.

doi:10.1016/j.jksus.2017.03.008

Cited by 13 publications

(14 citation statements)

References 23 publications

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“…As stated earlier, we cannot start the simulation of a droplet on a leaf surface until the virtual leaf surface is constructed. Previously the authors [7][8][9][10][11][12][13][14] proposed some surface fitting methods to construct the artificial surface of different types of leaves. In this research paper we applied the hybrid CT-MRBFC technique proposed by the author [1] to obtain an accurate and continuous surface.…”

Section: Artificial Leaf Surface Model Using the Ct-mrbfc Methodsmentioning

confidence: 99%

“…Loch [6] used the finite element method to construct the surface. The authors previously [7][8][9][10][11][12][13][14] suggested a new hybrid CT-MRBFC technique [15][16][17][18] for this goal. The proposed techniques are based on 3D data points collected from the surface of a real Anthurium leaf using a scanner.…”

Section: Introductionmentioning

confidence: 99%

“…The proposed techniques are based on 3D data points collected from the surface of a real Anthurium leaf using a scanner. Moreover, the authors [19] proposed a comparison between some methods based on surface fitting and concluded that the best is the hybrid multiquadric RBF-CT. Kempthorne [20,21] suggested smoothing D 2 -splines to create the cotton and wheat leaf surface. In this paper, we adapted our proposed CT-MRBFC method [1] to reconstruct the surface of the Anthurium leaf from 3D real scattered points.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Mathematical Model for Simulating the Movement of Water Droplet on Artificial Leaf Surface

et al. 2019

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Section: Artificial Leaf Surface Model Using the Ct-mrbfc Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mathematical Model for Simulating the Movement of Water Droplet on Artificial Leaf Surface

et al. 2019

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“…Oqielat et al [5,6] proposed a new hybrid method for modelling leaves surfaces based on joining the Clough-Tocher (CT) and radial basis function (RBF) methods. Moreover, Oqielat [7][8][9] reconstruct the surface of leaf using Hardy's multiquadrics and Gaussion RBF interpolation. Furthermore, a comparison between surface fitting methods are also presented by Oqielat [10] and found that the hybrid multiquadric RBF-CT method is the best.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, Oqielat [7][8][9] reconstruct the surface of leaf using Hardy's multiquadrics and Gaussion RBF interpolation. Furthermore, a comparison between surface fitting methods are also presented by Oqielat [10] and found that the hybrid multiquadric RBF-CT method is the best. Kempthorne et al [11,12] reconstructed the surface of the cotton and wheat leaf using discrete smoothing D 2 -splines.…”

Section: Introductionmentioning

confidence: 99%

Scattered data approximation using radial basis function with a cubic polynomial reproduction for modelling leaf surface

Oqielat

2018

Journal of Taibah University for Science

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Realistic leaf models are significant for numerous applications in the plant sciences, for instance, modelling pesticide droplet movement on the leaf surface. In this framework, a smooth surface is necessary to structure the foundation for a theoretical revision of a droplets motion on leaves. The radial basis function is convenient for scattered d-dimensional interpolation and usually extended by a polynomial P k (x) of degree (k) to improve the method stability. In this research paper, we proposed a new technique for modelling a real leaf surface, which is based on enhancing a cubic polynomial term P 3 (x) to the multiquadric Radial basis function (CMRBF). The precision of the CMRBF method is confirmed by applying it to a virtual data and then to a real Frangipani and Anthurium data sets sampled using a laser scanner. It is concluded that the proposed CMRBF method produces a realistic and accurate representation of the leaf surface.

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Modelling leaf surface reconstruction using Bernstein polynomials method

Oqielat

2020

Comp. Appl. Math.

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In this research paper, we adapt for the first time Bernstein polynomials for reconstructing a continuous differentiable surfaces of a real leaf from 3D scanned data points. As such model is essential for modelling the plant architecture, fluid movement, and biological structure such as photosynthesis. To evaluate the accuracy of the proposed method, we apply it on a real scattered data points collected from a genuine Frangipani and Anthurium leaf surface using a laser scanner. We found that the Bernstein polynomials develop precise model of the leaf surface.

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Surface fitting methods for modelling leaf surface from scanned data

Cited by 13 publications

References 23 publications

Mathematical Model for Simulating the Movement of Water Droplet on Artificial Leaf Surface

Mathematical Model for Simulating the Movement of Water Droplet on Artificial Leaf Surface

Scattered data approximation using radial basis function with a cubic polynomial reproduction for modelling leaf surface

Modelling leaf surface reconstruction using Bernstein polynomials method

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