Topologically Robust Surface Reconstruction for 3D Shape Modification

This paper proposes a topologically robust and accurate shape modeling procedure that approximates a real 3D object, based not on the widely used so-called ICP (iterative closed point) algorithm, for the noise resistive modeling and especially for the organized and matrix-formed meshing, enabling the quantitative 3D shape modification easy. A geometric model with desired meshing is directly reconstructed based on a solid modeling approach. The radial distance of each scanning point from the axis of the cylindrical coordinates is measured using a laser triangulation sensor. The angular and vertical positions of the laser beam are two other coordinate values of the scanning to be simultaneously acquired. A face array listing (topology), which defines the vertex (sampling point) connectivity and the shape of the mesh, is assigned to meet the desired meshing. Some bioengineering examples are demonstrated for the quantitative shape modification.