基于复指数矩的图像旋转角检测

The Rotation Angle Measurement of an Image Based on Complex Exponent Moments

提出基于复指数矩多畸变不变性的图像及图像子块的旋转角检测算法.根据复指数矩的定义和算法,计算原图像及旋转图像的复指数矩,求出两图像复指数矩幅角差,即可检测图像的转角.分析了低阶图像复指数矩角向一、二、三阶的性能和特征,指出应用角向一阶复指数矩,可以检测任意旋转角度,其检测误差不超过2°.实验验证了算法的有效性.

The measuring algorithm of image rotation angle based on the Complex Exponent Moments (CEM) was proposed.According to the definition of the CEM,computing the values of the moments,the rotation angle of an image could be checked by the CEM phase differences between original image and rotated image.The characteristics and performances of lower order radial and 1st,2nd,3rd orders angle orientated moments were analysed.The experiments revealed that using the difference of the 1st order radial and 1st order angle orientated CEM of the rotated image with the original image to measure the rotation angle,the measurement error did not exceed 2°,and the higher order angle orientated moments proposed the repeated performance of same order.