【摘要】 考虑到几何信息频谱分析的需要,采用L2[0,1]上一类新的完备正交函数系(称之为V-系统),针对CAGD中的几何图组,给出一类信息重构方法.V-系统由分段多项式组成,包括各个层次的间断函数,具有多分辨分析特性和局部性.基于V-系统的算法可以有效地消除几何信息表达中的Gibbs现象.实验结果表明,基于V-系统的几何图组信息重构的方法,为开展几何图组的频谱分析研究打下了基础.更多还原

【Abstract】 With the consideration of the need of frequency spectrum analysis to geometry information,a new method to reconstruct graphic groups in CAGD is proposed with a new class of complete orthogonal functions in L2[0,1](called V-system).V-system consists of piecewise polynomials with multi-level discontinuity.It has property of multi-resolution and compact local support.Based on the V-system,a new algorithm to reconstruct geometry information is designed,which can effectively eliminate the Gibbs phenomenon.The experimental results show that the new reconstruction method is useful for frequency spectrum analysis of geometry information.更多还原