Geometric Modeling of Fractal Forms for CAD
Author:   Christian Gentil ,  Gilles Gouaty ,  Dmitry Sokolov
Publisher:   ISTE Ltd and John Wiley & Sons Inc
ISBN:  

9781786300409


Pages:   256
Publication Date:   22 June 2021
Format:   Hardback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Geometric Modeling of Fractal Forms for CAD


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Overview

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.

Full Product Details

Author:   Christian Gentil ,  Gilles Gouaty ,  Dmitry Sokolov
Publisher:   ISTE Ltd and John Wiley & Sons Inc
Imprint:   ISTE Ltd and John Wiley & Sons Inc
Dimensions:   Width: 1.00cm , Height: 1.00cm , Length: 1.00cm
Weight:   0.454kg
ISBN:  

9781786300409


ISBN 10:   1786300400
Pages:   256
Publication Date:   22 June 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

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

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