Geometric Modeling

This book provides the fundamental knowledge and tools necessary to understand the principles and techniques in the field of geometric modeling and is an essential textbook for undergraduate and graduate students. It includes a detailed exploration of key modeling techniques, from wireframe modeling to complex fractal modeling, highlighting their various applications in different fields and industries. In this book, the basic representation of geometric 3D objects with wireframes as the backbone of more complex models is explored. The details of surface modeling with techniques such as NURBS and subdivision surfaces are discussed. Concepts of constructive solid geometry (CSG) and boundary representation (B-rep) are explained and methods of representing 3D objects with volume are presented. The beauty of fractals and their ability to simulate natural phenomena, produce complex patterns and create stunning visual designs are explained. And finally, the basic and attractive concepts of rendering and visualization have been discussed.