Single-pixel imaging via adaptive Stockwell basis selection

Abstract

Usually, Single-Pixel Imaging (SPI) achieves high spatial resolution by degrading time precision, and improving the spatial and temporal resolutions concurrently is very challenging. To tackle this problem, we introduce Stockwell transform as well as its basis into SPI area. Compared with other ones resulted from Fourier or Hadamard, etc, they can represent scenes with fewer bases, making the number of imaging reduced for getting the same quality image. Based on the Stockwell bases, an adaptive differential modulation technique is designed, which uses the inverse Stockwell transform of low-resolution images to guide the selection of Stockwell basis in the next time. Compared with the state-of-the-art methods, Stockwell bases and the guidance of basis selection make the imaging efficiency and resolution improved. Especially, the guidance trick possibly benefits a large number of SPI methods, making the basis in each imaging optimized. Finally, a great number of experimental results have shown that the proposed method achieves the utmost performance among the compared techniques.