Development of deformed hand model with bezier curves

Objective: In recent years, the rapid developments of computers have provided important convenience in mathematics, medicine, physics and engineering. The first convenience is the ability of performing mathematical computations in a fast way. The second convenience is that the increasing storage capacities of computers allow evaluations of big and intensive data. As a result of these developments in computers, simulation models can be constructed to capture the nature of the systems in unique way and accurate way. Moreover, these simulation models yield more sensitive and realistic results that are as close as to its nature. Method: In this thesis, simulation models is specifically used to study the nature of human hands. The aim of this thesis is to define mathematical models of deformed and undeformed human hands by using the Bernstein polynomials and the Bezier curves. Investigation of these mathematical models is helpful to understand the nature of the deformed and undeformed human hands. Results: Briefly literature review of the mathematical models is presented in this thesis by summarizing some of its usage in medicine and related areas. The method that is used in this thesis is quite well-known because it is developed by the standard methods from mathematics, statistics, and computer science. After introducing basic definitions and properties of the Bernoulli polynomials, the Bezier curves, and the B-spline curves, the relationship between them are examined. By using C++ and AutoCAD, the Bezier curves and B-spline curves are drawn to construct the models for deformed and undeformed hand. Comparisons of these constructed models are also summarized. In addition, the mathematical equations of these models are provided to illustrate the details of the models.