3d Local Non-uniform Field Model Based on 3d Vector Model Frame

This paper proposes a model, which is called ‘3D (Three Dimension) local non-uniform field model based on 3D vector model frame’, which integrate ‘3D volume function analytical model’ and ‘3D local raster model’into the frame of ‘3D vector boundary model’, to express 3D object and local non-uniform attribute data field. In the model, the authors adopt 3D vector boundary model as basic frame, then partition solid objects interested by user and construct volume function, i.e. represent local non-uniformity attribute data field inside the solid objects by ‘3D volume function analytic model’. 3D volume function analytic model could be visualized by ‘slice up’ method, or be translated into 3D local raster data model for visualization. In this way, it can integrate vector representation, analytic expression, and raster representation into a unified 3D model. The paper proposes that there two topological view in GIS, one topological view is based on boundary and coboundary, another topological view is based on point-set theory. In dealing with surface feature or boundary surface of solid feature, the author advise using ‘3D TIN partition along surface’and‘double cubic B-B(Bernstein-Bézier) triangle surface piece smooth connection’, which are widely used in 3D CAD and 3D geometry modeling. With the help of these techniques, it can deal with nearly vertical surface, and make surface representation more approximate to natural surface than ‘plane TIN partition’ and ‘small triangle plane’ in traditional geo-science. This 3D data model could be used in geology, mining, environment, oceanography and aerography.