Fractal structures are present everywhere in nature: trees, coral, etc. They appear in response to specific constraints: maximizing an exchange surface in a limited volume, or deploying a maximum surface area from the minimum of material. These optimal structures have inspired researchers to design more efficient systems. The exploitation of fractals is possible thanks to the appearance of additive manufacturing processes. However, imagining, designing and mastering these shapes is still difficult.
This book gives access to a whole new universe of shapes that are still under-exploited and partially explored. It also offers a representation model for the computer-aided geometric design of fractal shapes. This model allows us to describe fractal topologies and to precisely and intuitively control their geometry. It also presents the tools and methods used in the design of tree structures, the generation of reinforcements and porous structures and the lightening of parts.
1. The BC-IFS Model.
2. Design Examples.
3. Surface NURBS, Subdivision Surfaces and BC-IFS.
4. Building Operations, Assistance to Design and Applications.
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.
Table of Contents
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