Single-pixel tracking and imaging of a high-speed moving object

Image-free tracking methods based on single-pixel detection have been able to track a moving object at a very high frame rate, but these tracking methods can not achieve simultaneous imaging of the object. Here we report a method for simultaneously tracking and imaging a high-speed moving object. Four binary Fourier patterns and two differential Hadamard patterns are used to modulate one frame of the object, then the modulated light signals are obtained by single-pixel detection. The trajectory and the image of the moving object can be gradually obtained along with the detection. The proposed method does not need any prior knowledge of the object and its motion. It has been verified by simulations and experiments which achieves a frame rate of 3332$~\mathrm{Hz}$ at a spatial resolution of $128 \times 128$ pixels by using a 20000$~\mathrm{Hz}$ digital micromirror device. This proposed method can broaden the application of image-free tracking methods and realize the detection of spatial information of the moving object.