  When imaging moving objects, single-pixel imaging produces motion blur. This
paper proposes a new single-pixel imaging method, which can achieve anti-motion
blur imaging of a fast-moving object. The geometric moment patterns and
Hadamard patterns are used to alternately encode the position information and
the image information of the object with time-division multiplexing. In the
reconstruction process, the object position information is extracted
independently and combining motion-compensation reconstruction algorithm to
decouple the object motion from image information. As a result, the anti-motion
blur image and the high frame rate object positions are obtained. Experimental
results show that for a moving object with an angular velocity of up to
0.5rad/s relative to the imaging system, the proposed method achieves a
localization frequency of 5.55kHz, and gradually reconstructs a clear image of
the fast-moving object with a pseudo resolution of 512x512. The method has
application prospects in single-pixel imaging of the fast-moving object.
