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With computer graphics and three-dimensional modeling technology, more and more high precision three-dimensional model , also will be rapid growth in the volume of data to a computer rendering, display, transfer, and so brought great pressure. Meanwhile, the artificial intelligence to solve complex and diverse issues play an increasingly important role, and the quotient space as one of the branches in the path schedule arrangements , information fusion, space path planning , fractal science, remote sensing image analysis and processing, pattern recognition and other fields has been widely used. In order to solve the three-dimensional model in visual simulation problems encountered in the process , this paper introduces the theory of quotient space granular computing complex three-dimensional model of the building technology research. Firstly, by studying the typical triangulation method is proposed based on region growing surface Delaunay triangulation algorithm, which combines the advantages of both , according to the three-dimensional surface of the object from a series of scattered set of sample points , resulting in a triangulation model , and has the correct topology of the Delaunay algorithm calculated only once , and does not require Voronoi information . Secondly, the quotient space granularity field theory is applied to visual simulation , the use of hierarchical thinking to achieve the 3D mesh model segmentation, the 3D mesh model is divided into different coarse -grained model , making the process of visual simulation according to the viewpoint needs, jump between different size models , not only effectively reduce the amount of data to 3D mesh model , but also improves the visual refresh rate. Finally , the use of granular synthesis principle , according to the properties of three-dimensional grid characteristics , rapid formation of different granularity space, and the design of effective algorithms , accurate and efficient 3D mesh model to build the quotient space structure, 3D mesh model based on the segmentation through simplification and reconstruction algorithms to achieve effective control of multi-resolution models and real-time display .
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