Efficient regional single-pixel imaging for multiple objects based on projective reconstruction theorem

Single-pixel imaging (SPI) is a novel imaging method with a non-spatial detector that is utilized when imaging. SPI exhibits numerous advantages but is time-consuming and ineffective. This paper proposes an efficient regional SPI (ERSI) based on projective reconstruction theorem. The main idea of ERSI is locating object regions first and then adaptively project patterns only on these regions. The ERSI is considerably more efficient than traditional SPI because the former disregards background information. Experiments verified that ERSI shortens the time consumed for SPI to approximately 10% if the scene contains several small objects.