B-Spline Surface Approximation for Scan Measured Cloudy Data

Many researches about surface approximation for cloudy measured points are reviewed. Focusing on the scattered cloudy points of free form surface with irregular boundaries, a multi-step B-spline surface approximation algorithm is presented, in which some key techniques, such as creation of boundary interpolation B-spline surface, Hardy's multiquadric local region interpolation, least square approximation of B-spline surface for regularized points, are involved. Presented algorithm is tested by an engineering experiment.