High-Efficiency Differential Single-Pixel Imaging Based on Discrete Cosine Transform

Existing discrete cosine transform single-pixel imaging (DCT-SPI) improves the imaging quality, but its number of measurements is twice as the number of pixels of the illumination pattern under full sampling. To reduce the number of measurements, in this letter we propose a single-pixel imaging method called positive discrete cosine transform single-pixel imaging (PDCT-SPI). In the proposed method, only the positive patterns are employed to reconstruct the image. Thus, the number of measurements is reduced by 1/2. Based on the characteristics of Fourier series, the background noise is eliminated by subtracting the average of the detected values to guarantee the imaging quality of PDCT-SPI. Experimental results show that under the same sampling rates, the image quality reconstructed by PDCT-SPI is similar as DCT-SPI, the number of measurements of PDCT-SPI is only half of DCT-SPI.