摘要
本文提出了一种具有平移和尺度不变性的自适应小波分解新方法，该方法利用信号的一阶、二阶矩及正交小波尺度函数，先对信号进行自适应小波“重整”．然后再对重整后的信号进行普通小波变换．本文证明这种自适应小波变换是平移和尺度不变的，并给出了计算自适应小波变换系数（称为小波不变矩）的一种有效算法．对二维数字信号（图像）的实验证实了我们的结论．
In this paper,we propose an adaptive wavelet transform which possess the properties of translation and scale invariance.Firstly,the Original signal is adaptively renormalized using a scale function of an orthonomal Wavelet and the first two moments of the signal.Then, we decompose the renomalized signal according to the conventional discrete wavelet transform. As we prove this adaptive wavelet transform is translation-and scale-invariant, and an efficient algorithm for calculating these wavelet coefficients ,called adaptive Wavelet invariant moments, is proposed. Finally, we give experiment results for 2-dimension digital signals (images) to verify our conclusion.'
出处
《电子学报》
EI
CAS
CSCD
北大核心
2000年第1期104-107,共4页
Acta Electronica Sinica
基金
华中理工大学科研基金!(J011014)
关键词
小波变换
平移
尺度不变性
图象处理
adaptive wavelet transform
translation and scale invariance
wavelet invariant moments
