A Graphic User Interface for 3D Segmentation of Nonlinear Functions

Abstract: In this paper, we introduce a Graphic User interface (GUI) which performs segmentation of nonlinear 3D functions which approximate the 3D functions within a desired degree of accuracy. Due to the approximation and prediction difficulty of 3D functions, it is advantageous to segment these nonlinear shapes into sub regions which can easily be approximated. The GUI systematically segments nonlinear functions into smaller regions and applies the Least Square Estimate (LSE) method to approximate the parameters of each subsequent linear plane. The GUI has the ability to regulate the approximation error to be within a desired range chosen by the user. We demonstrate, through simulation, the functionality and capabilities of the GUI and provide results of user-defined parameters variations and how they affect the linear region parameter approximation.

Keywords: Nonlinear functions, 3-dimensional segmentation, MATLAB Graphic User Interface (GUI), Linear Approximation, Least Square Estimate Method.