Design and Reconstruction of Fractal Surfaces
نویسندگان
چکیده
E. Tosan, E. Guérin and A. Baskurti LIGIM EA 1899 Computer Graphics, Image and Modeling Laboratory Claude Bernard University, Lyon, France Bât. 710 43, bd du 11 novembre 1918 69622 Villeurbanne Cedex Tel.: (33) 4.72.44.58.85 Fax : (33) 4.72.43.13.12 E-mail: [et eguerin abaskurt]@ligim.univ-lyon1.fr March 15, 2002 Abstract 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.
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