Geometric Modeling of Fractal Forms for CAD

Inbunden, Engelska, 2021

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2021-06-22
Mått:10 x 10 x 10 mm
Vikt:454 g
Format:Inbunden
Språk:Engelska
Antal sidor:256
Förlag:ISTE Ltd and John Wiley & Sons Inc
ISBN:9781786300409

Utforska kategorier

CAD-program inom Data och IT
Teknik: allmänt inom Naturvetenskap och teknik

Mer om författaren

Christian Gentil is Professor at the University of Burgundy Franche-Comté, France, and Head of the geometric modeling team of the LIB.Gilles Gouaty is an engineer at the University of Burgundy Franche-Comté, France, and a specialist in iterative geometric modeling.Dmitry Sokolov is a teacher-researcher at LORIA at the University of Lorraine, France, and Head of the INRIA PIXEL research team.

Innehållsförteckning

1 Introduction to fractal geometry2 Model BCIF2.1 Iterated Function System (IFS)2.2 Controlled Iterated Function System (CIFS)2.3 Boundary Controlled Iterated Function System (BCIFS)3 Example of design3.1 curves and wire-frames3.2 surfaces and laces3.3 volumes and porous objects3.4 Trees4 Topological combination5 Efficient approximation for 3D printing6 NURBS and Subdivision surfaces and (BCIFS)7 Applications