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Ge Lei, born in Qingdao, China, postgraduate of Institute of Surveying and Mapping of PLA, mainly studies on Map Generalization and GIS
Re-Triangulation Arithmetic in 3D Building Generalization
Ge Lei, Wu Fang, Zhai Renjian, Wang Pengbo
(Information Engineering University, Institute of Surveying and Mapping,
ZhengZhou, China)
Abstract: 3D building generalization is important in 3D generalization and it will be widely used in 3D visualization, especially in 3D city model. Triangle is the base of 3D visualization; re-triangulation arithmetic is proposed to deal with the extra triangles in 3D building modeling and generalization. The arithmetic includes two parts: contour finding arithmetic based on neighboring triangle search and triangulation arithmetic of general polygon. Contour finding arithmetic is the base of re-triangulation with facets of 3D building; triangulation arithmetic of arbitrary polygon can be used in many fields.
Key words: Triangulation, contour finding, 3D building generalization Introduction
Triangles are the basic cell to be rendered in 3D visualization. The number of triangle decides the speed of render and also has great influence on 3D data quantity. Re-triangulation of facet is an important way in the reduction of triangles.
When using the most popular software in modeling 3D building, the quantity of surface triangles always exceed that is needed; in the simplification of parallel building, extra triangles come out because of facet moving. All these problems need to be solved by re-triangulation of facets.
There have been many researches on triangulation arithmetic till now, most of which are concentrate on scattered points or known contour but not the unknown contour based on triangles. Therefore, a re-triangulation arithmetic mainly used in 3D building is proposed. The arithmetic could search the outline of facet consisting of triangles, so the contour is constructed automatically, which is used as the base of triangulation. The arit
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