Computation of Gaussian Curvature

Abstract

Dealing with some problems we need to collect some sample data of the coordinates of geometric objects and use the data to restore the objects on the computer When the objects are curved it cannot be restored well The main purpose of this study is to distinguish and restore geometric objects on computers Through Gauss theorem Gaussian curvature is an invariant it is invariant under rigid motion In this thesis we try to estimate Gaussian curvature through the some sample data of the coordinate of geometric objects There are two main method discussed in this thesis: angular defect and spherical image

Date of Award	2020
Original language	English
Supervisor	Jia-Ming Liou (Supervisor)