具有误差修正的线矢量数据小波变换  

Wavelet Transform with Error Correction for Line Vector Data

作　　者：马伯宁[1] 冷志光[1] 汤晓安[1] 匡纲要[1] 

机构地区：[1]国防科学技术大学电子科学与工程学院,长沙410073

出　　处：《计算机辅助设计与图形学学报》2011年第11期1825-1829,1837,共6页Journal of Computer-Aided Design & Computer Graphics

摘　　要：由于已有的基于小波的线矢量数据多尺度表示算法中未考虑数据的非均匀采样特性,也未给出有效的误差控制方法,因此经过多级小波分解后,可能导致局部区域形变过大.针对以上问题,提出一种具有误差修正的线矢量数据小波变换算法.首先对数据进行高频分量的小波分解,以高频系数作为判断依据,寻找出低频表示误差过大的位置;在这些位置利用插值对数据增加采样;最后对处理后的数据进行低频分量的小波分解.实验结果表明,该算法能很好地解决线矢量数据小波多尺度表示中局部误差过大的问题.The non-uniform sampling characteristic is not considered in existing wavelet-based multi- scale representation algorithms for line vector, and no effective error control method is given in these algorithms, so excessive deformation of local area may be produced in multi-level wavelet decomposition. Focus on these issues, a line vector data wavelet transform method with error correction is proposed. Firstly, high band is calculated and the positions implying excessive error are located using high band coefficients. Secondly, an up-sampling step is executed using interpolation at these positions. Finally, the low band decomposition is handled. The experimental results show that the error is significantly reduced by this error correction method.

关 键 词：矢量数据压缩 小波变换 误差修正 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]