%0 Journal Article
%T 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
%A LIU Jian
%A GUAN You-jiang
%A QIN Kai-huai
%A
刘建
%A 关右江
%J 中国图象图形学报
%D 2002
%I
%X 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
%K Wavelet
%K B-spline curve
%K Multi-resolution modeling
NUBS曲线
%K 小波分析
%K 造型技术
%K B样条曲线
%K 多分辨率造型
%K 图象处理
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=D06194629680C940ACE75262F54B9D85&aid=4A7AFB0D4C64AB9D&yid=C3ACC247184A22C1&vid=DF92D298D3FF1E6E&iid=9CF7A0430CBB2DFD&sid=117143DBED3B4430&eid=F3FF3E69C64937E9&journal_id=1006-8961&journal_name=中国图象图形学报&referenced_num=6&reference_num=11