A fast approach for determining of visibility of 3d object's surfaces

Abstract

In the article we present an effective approach for determining of visibility of 3D object surfaces. This approach is suitable in the case of visualisation of complicated objects with many branches and the objects surfaces are approximated by number of triangles. Therefore to determine the visibility of 3D object surfaces, wc investigate the visibility of a triangle in the 3D space. For finding of visibility of the triangles we develop an approach and algorithm based on the notions regularity and finite numerical sequences. We solve also the problem of finding the image of a closed polygon and the visibility of his edges after applying rotation. The calculation complexity of the algorithm is given. The advantages of the algorithm with respect to the others in the same field are presented in the article. We give also results of an experiment performed using this algorithm.