Comparison between gaussian and mean curvatures on smooth logically cartesian surface meshes using matlab

Estimating intrinsic geometric properties of a surface from a polygonal mesh obtained from range data is an important stage of numerous algorithms in computer and robotvison, computer graphics, geometric modeling, industrial and biomedical engineering. This work considers different computational schemes for local estimation of intrinsic curvature geometric properties. Deferent algorithms and their modifications was tested on geometric models .The aims of this paper is to compare between Gaussian curvature and mean curvature using Matlab. We followed the applied mathematical method using Matlab. We compared the analytically computed values of the Gaussian and mean curvatures in first we found in figure the exact Gaussian curvature imply the verities of sample data like circle shape . In figure 2 the mean curvature imply the vertices of sample data like triangular shape for same data. Second ; in figure 3 we shown that how mean curvature (bubble sample) defined equation one of these bubble is upper and other one is lower .We explained in figure 4 how Gaussian curvature (bubble sample) the same equations.