Single-pixel imaging of a translational object

TL;DR

This paper introduces a novel single-pixel imaging method that simultaneously captures the image and relative displacement of a moving translational object at high frame rates without prior object knowledge.

Contribution

The method combines Fourier and Hadamard pattern modulation with single-pixel detection to achieve real-time imaging and tracking of moving objects without prior information.

Findings

Achieved a frame rate of 3332 Hz for imaging and tracking.

Demonstrated spatial resolution of 128x128 pixels.

Validated effectiveness through simulations and experiments.

Abstract

Image-free tracking methods based on single-pixel detectors (SPDs) can track a moving object at a very high frame rate, but they rarely can achieve simultaneous imaging of such an object. In this study, we propose a method for simultaneously obtaining the relative displacements and images of a translational object. Four binary Fourier patterns and two differential Hadamard patterns are used to modulate one frame of the object and then modulated light signals are obtained by SPD. The relative displacements and image of the moving object can be gradually obtained along with the detection. The proposed method does not require any prior knowledge of the object and its motion. The method has been verified by simulations and experiments, achieving a frame rate of 3332 Hz to acquire relative displacements of a translational object at a spatial resolution of $128 \times 128$ pixels using a 20000-Hz digital micro-mirror device. This proposed method can broaden the application of image-free tracking methods and obtain spatial information about moving objects.