Multi-resolution NUBS Curves with Arbitrary Number of Control Points
任意NUBS曲线的小波分析和造型技术

B-spline wavelets have been widely used in multi-resolution modeling for curves and surfaces, but there are some defects in such modeling using semi-orthogonal B-spline wavelets. First, some existing algorithms for multi-resolution curves use uniform B-spline curves to approximate non-uniform B-spline(NUBS) curves. This will result in an error between the new curve and the original one. Second, the constraints in the existing algorithms specify the shape at a continuous-resolution level by interpolating those at integer-resolution levels. If the control point number of a B-spline curve does not match that of a curve at an integer-resolution, that is, 2 i 3