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.
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.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2007年第7期871-875,883,共6页
Journal of Computer-Aided Design & Computer Graphics
基金
国家"九七三"重点基础研究发展规划项目(2004CB318000)
国家自然科学基金重点项目(60133020
10671002)
浙江大学CAD&CG国家重点实验室开放课题(A0503)
澳门科技发展基金(045/2006/A)
关键词
V-系统
Gibbs现象
计算几何
信息重构
频谱分析
V-system
Gibbs phenomenon
computational geometry
information reconstruction
frequency spectrum analysis
