A method for the design and reconstruction of rough surfaces is introduced. A fractal model based on projected IFS attractors allows the definition of free form fractal shapes controled with a set of points. This flexible model has good fitting properties for recovering surfaces. The approximation is formulated as a non-linear fitting problem and resolved using a modified LEVENBERG-MARQUARDT minimisation method. The main applications are shape design, shape reconstruction and geometric data compression.
Citation:
E. Tosan, E. Guérin, A. Baskurt, "Design and Reconstruction of Fractal Surfaces," iv, pp.311, Sixth International Conference on Information Visualisation (IV'02), 2002