Smoothing of Freeform Curves Based on Multi-Resolution B-Spline-Wavelet Network

摘要

This paper presents a novel network, Multi-resolution B-spline-wavelet network(MRBWN), which is used to the smoothing of freeform curves and obtaining the least control vertices in ship form design. Based on the MRWN principle, we introduce cubic Bspline function as the wavelet function and cubic Bspline basis function as the scale function to construct the network to approximate the freeform curves. The gradient algorithm is adopted to train the network. In the experiment on the ship waterline curve, the smooth curve is obtained, which show the approach is satisfactory.