中文摘要：

利用双正交非均匀B样条小波,提出一种多分辨率表示B样条曲线并近似保持几何约束的方法.针对曲线小波分解过程中几何约束的保持问题,提出的算法分两步来解决：第一步在小波分解过程中有选择地删除节点;第二步在分解过程中结合能量法控制与几何约束有关部分的变化能量.最后给出实例验证了算法的有效性.

英文摘要：

A approach for multiresolution representation of nonuniform B-spline curves with approximate preservation of geometric constraints is proposed based on biothogonal nonuniform B-spline wavelets.Aimed at the problem of the preservation of geometric constraints in the wavelet decomposition to curves,two steps are utilized：firstly selective deletion of knot vectors,secondly control the changes in those associated with constrains part of the energy functional.Several examples are presented to illustrate the effectiveness of the proposed algorithm.