Geometric modeling of fractal forms for CAD

• Main Author: Gentil, Christian, (Author)
• Format: eBook
• Language: English
• Published: London : Hoboken, NJ : ISTE Ltd. ; Wiley, 2021.
• Series: Numerical methods in engineering series. Geometric modeling and applications set ; v. 5.
• Subjects: Computer-aided design > Mathematics.; Fractals.; elektronické knihy; electronic books
• ISBN: 9781119831754; 111983175X; 9781786300409; 1786300400
• Physical Description: 1 online resource (1 volume)
• Access: Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty

Designing and controlling complex shapes like porous volumes and rough surfaces is a challenge. Fractal geometry is an interesting approach which considerably simplify the problem. Even though underlying concepts reduce the set possible shapes, they generate a surprising variety of shapes. In this book we present a formalism to design such complex objects for geometric aided geometry design applications. The goal of this formalism is to provide to the end user the possibility to manipulate fractal objects as a standard euclidean object with standard tools of CAD system. This formalism encompass curves, surfaces, volumes, as well as NURBS and subdivision surfaces. All theoretical and practical aspects are developed, from the design up to 3D printing.