Generation of an Implicit Surface Based on the Delaunay Tetrahedralization

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The purpose of this study is generation of an implicit function that can be fast visualized. To this end, the implicit surface is replaced by a reconstructed result generated by the Delaunay tetrahedralization. In addition, the characteristics of conventional implicit functions are appended to the reconstructed result. Study results of this program are as follows : first, a method for erasing redundant surfaces of a reconstructed result generated by the Delaunay tetrahedralization has been developed. In this method, the redundant surfaces are recognized by using a simplified generated implicit function. In addition, by using the simplified generated implicit function, procedures of visualization and those of generating an implicit function are completely separated, and the characteristics of conventional implicit functions are appended to the result generated by the Delaunay tetrahedralization. Moreover, in order to obtain a reconstructed result from the point data without normals, a method for estimation of point normals has been developed. Experiments illustrate that, by using the estimated point normals, some expected results generated by the Delaunay tetrahedralization are obtained from the point data without normals.