Fast computation of 2-D image moments using biaxial transform

摘要

In this paper a new transform is introduced. This transform is based on dividing the image into four quadrants. The transform can be generated by adding or subtracting the gray levels of each two axially symmetric points in the original image. The addition or subtraction is dependent on the quadrant position. The newly transformed quadrants can then be used to compute the moments. Only one quadrant of transformed image is needed to compute the moments of specific orders. This can lead to considerable savings in both processing time as well as storage. Other advantages of this transform, such as image reconstruction and using multiple filters on the same image frame to remove noise, are also explored.