RECONSTRUCTION OF SMOOTH SURFACE BY USING CUBIC BEZIER TRIANGULAR PATCH IN GUI

Abstract

A smooth surface reconstruction by using the non-uniform distribution of the data points constitutes a major challenge in the technique involving reconstructing surfaces in the field of reverse engineering. In this study, the Delaunay triangulation process was selected as the method was not involve the deletion of the sample data points and could preserve the original surface topology. The study also focused on developing a smooth surface using two processes, i.e., the derivative estimation and the surface interpolation using the cubic Bezier triangular patch. We estimated the 2nd order partial derivatives by applying the least square minimization technique wherein the process was seen to decrease the errors between the estimated and the actual values. Thereafter, we interpolated the surface with the help of the cubic Bezier triangular patch. In this study, rather than using the results generated by multiple subplots in the MATLAB programming (MATLAB, R2015), the result was represented by using the MATLAB Graphical User Interface (GUI) function for the development of an interface for all the algorithms. Our results show a comparison of the interpolating surface generated by 6 test functions.