| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 440168 | Computer-Aided Design | 2013 | 8 Pages |
In order to provide accurate tools to model original surfaces in a Computer Aided Geometric Design context, we develop a formalism based on iterated function systems. This model enables us to represent both smooth and fractal free-form curves and surfaces. But, because of the self-similarity property underlying the iterated function systems, curves and surfaces can only have homogeneous roughness. The aim of our work was to elaborate a method to build parametric shapes (curves, surfaces, …) with a non-uniform local aspect: every point is assigned a “geometric texture” that evolves continuously from a smooth to a rough aspect. The principle is to blend shapes with uniform aspects to define a shape with a variable aspect. A blending function controls the influence of each initial shape. An illustrated application is then built, joining surfaces characterized by different kinds of roughness.
► We elaborate a model to build parametric shapes with a non-uniform local aspect. ► The local aspect can evolve continuously from a smooth to a rough aspect. ► We blend shapes with uniform aspects to define a shape with a variable aspect. ► A blending function controls the influence of each initial shape. ► We show how to build a surface with different imposed rough curves as boundaries.
