Abstract
In this paper, an implicit surface reconstruction method from 3-dimensional scattered point data is introduced. The method mainly consists of modeling and rendering processes. A scalar field f(x) is generated in the modeling process, and a reconstruction result is obtained as an implicit surface f(x)=0 in rendering process. As the most basic method for generating f(x), a radial-basis-functions-based method is described in this paper. In addition, the marching cubes method for rendering f(x)=0 is also described, since a program code of the method can be downloaded easily, and the code can be easily embedded to our codes. As experimental results, some implicit surfaces are obtained by using the radial-basis-functions-based method and the marching cubes method. In addition, concrete procedures for generating f(x) are shown. Furthermore, how to use a class of the marching cubes method is described concretely.
