基于傅里叶相位差的抗噪声位移估计算法

提出了一种利用连续图像相位谱的差估计运动目标位移的抗噪声算法。根据傅里叶相移特性,用连续两幅图像相位谱差的周期性变化或剖面的斜率计算图像中运动物体的位移。向量滤波的应用在去除噪声的同时,有效保留了周期性信号在一个周期结束点的跳变性质。分段拟合是从周期性信号中计算斜率的合理方法。本算法在频域估计运动位移,能够克服背景光照变化的影响,克服10％的高斯白噪声,分辨率达到一个像素。

Denoising algorithm of displacement estimation based on phase difference of Fourier transform

A robust denoising algorithm for estimating the displacement of a moving target based on the phase difference of Fourier transform phase spectrum is presented.According to shift theorem of Fourier transform,the algorithm employs the phase spectrum difference in polar coordinates of the sequence of two frame images of a moving target to search displacement through detecting the period of the phase spectrum difference or computing the slope of its section.The vectorial filtering is used to reduce noise and keep the period characteristic,and the sectional fitting is used to compute the displacement of the slope.The experimental results show that the algorithm can give the displacement of moving target with the accuracy of 1 pixel.