Geometric Modeling of Fractal Forms for CAD (eBook)

Christian Gentil, Gilles Gouaty, Dmitry Sokolov (Autoren)

eBook Download: PDF

2021 | 1. Auflage
256 Seiten
Wiley (Verlag)
978-1-119-83172-3 (ISBN)

Infos

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.

Inhalt

1 Introduction to fractal geometry

2 Model BCIF

2.1 Iterated Function System (IFS)

2.2 Controlled Iterated Function System (CIFS)

2.3 Boundary Controlled Iterated Function System (BCIFS)

3 Example of design

3.1 curves and wire-frames

3.2 surfaces and laces

3.3 volumes and porous objects

3.4 Trees

4 Topological combination

5 Efficient approximation for 3D printing

6 NURBS and Subdivision surfaces and (BCIFS)

7 Applications

Produkt-Details

• Erscheint lt. Verlag: 11.5.2021
• Sprache: englisch
• Themenwelt: Informatik ► Weitere Themen ► CAD-Programme
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: CAD • chemical engineering • Chemische Verfahrenstechnik • Computer-aided Engineering • Computergestützte Verfahrenstechnik • Fraktal • Geometrische Modellierung • Maschinenbau • Maschinenbau - Entwurf • Mathematical Modeling • Mathematics • Mathematik • Mathematische Modellierung • mechanical engineering • Mechanical Engineering - Design
• ISBN-10: 1-119-83172-5 / 1119831725
• ISBN-13: 978-1-119-83172-3 / 9781119831723