Fuzzy logic applied to suface modeling from point clouds

Jean-Marc Philippe; Alain Bernard; Gabriel Ris

doi:10.1117/12.334333

29 December 1998 Fuzzy logic applied to suface modeling from point clouds

Jean-Marc Philippe, Alain Bernard, Gabriel Ris

Proceedings Volume 3520, Three-Dimensional Imaging, Optical Metrology, and Inspection IV; (1998) https://doi.org/10.1117/12.334333
Event: Photonics East (ISAM, VVDC, IEMB), 1998, Boston, MA, United States

Abstract

The aim of this project was to propose an original approach c to predetermine the topology of a surface from the point cloud obtained during a digitizing process. This method has been applied for the predefinition of the different main regions of a surface, in order to be able to divide the point cloud in different separate clouds corresponding to these regions. It should be also possible to optimize locally the surface when taking into account tangency and curvature conditions. The main advantage of this method is that, for a given accuracy, the complexity of the surface is lower than a traditional method, an the computations are quite the same than those obtained when using traditional surface modeling algorithms. This method allows a qualitative decomposition of the surface defined from a function z equals f(x,y). In the paper, the fuzzification and defuzzification process and a study of the influence of the main parameters will also be presented. Some fuzzy logic algorithms and functions have been compared and analyzed when applied on the example.

Citation Download Citation

Jean-Marc Philippe, Alain Bernard, and Gabriel Ris "Fuzzy logic applied to suface modeling from point clouds", Proc. SPIE 3520, Three-Dimensional Imaging, Optical Metrology, and Inspection IV, (29 December 1998); https://doi.org/10.1117/12.334333

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