6533b857fe1ef96bd12b38be
RESEARCH PRODUCT
Mixed-aspect fractal surfaces
Christian GentilMarc Neveusubject
ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONGeometrySurface finishComputer Graphics and Computer-Aided DesignIndustrial and Manufacturing EngineeringComputer Science ApplicationsComputer aided geometric designFormalism (philosophy of mathematics)Iterated function systemGeometric designFractalHomogeneousComputingMethodologies_COMPUTERGRAPHICSMathematicsParametric statisticsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-02-01 | Computer-Aided Design |