Computer Aided Design and Manufacturing

2Computer Aided Geometric Modelling

2.1 Introduction

Any matter for an object in the world exists in one of four distinct states, i.e. solid, liquid, gas, and plasma. The solid state is a common state for the majority of products around us. To investigate the behaviours of solids, it is necessary to know its geometry and shape. Similarly, to investigate the behaviours of fluid, gas, or plasma in a certain volume, the geometry and shape of boundary surfaces of a fine volume is also needed to be defined.

For centuries, geometry has played its crucial role in the development of many scientific and engineering disciplines such as astronomy, geodesy, mechanics, ballistics, civil and mechanical engineering, ship building, and architecture. The importance ...