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

• Main Author: Moa’ath N. Oqielat
• Format: Article
• Language: English
• Published: Taylor & Francis Group 2018-05-01
• Series: Journal of Taibah University for Science
• Subjects: Interpolation; virtual leaf; radial basis function
• Online Access: http://dx.doi.org/10.1080/16583655.2018.1469293

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 Pk (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 P3 (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.