| Abstract [eng] |
The chosen theme of the Master of Science degree paper is “Three dimensional objects: visualization and deformation algorithms“. This subject considers surface reconstruction from point clouds and the possibilities to apply surface deformation algorithms. During the analysis phase we found that the main problem of the algorithms of surface reconstruction from scanned point clouds is the lack of speed. So in this paper a method, based on 2D Delaunay triangulation, for reverse engineering is proposed. This method divides point clouds into several parts, and then maps all the points of those point cloud parts to the plane. Then a 2D Delaunay triangulation is computed and the mesh is mapped back to the point cloud. We also give theoretical possibilities to apply a known algorithm for surface deformation. During the implementation phase we found that our algorithms work as expected, but quicker than the other methods proposed earlier. We also noticed that it’s better to use 2D Delaunay triangulation for bigger point clouds and 3D Delaunay triangulation for point clouds, which contains no more than approximately 2000 points. |
