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

Abstract

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.