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.
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