Multichannel Single-Pixel Imaging via Dispersion Offset at Low Sampling Rates

This letter proposes a dispersion offset multichannel single-pixel imaging (MC-SPI) method to address the trade-off between reconstruction quality and imaging efficiency in single-pixel imaging. The method achieves the equivalent of three projections on the sample through a single projection from the spatial light modulator. This is accomplished by utilizing projections of different wavelengths after dispersing the projected pattern, resulting in a one-pixel size offset of the projection at the sample position. Each projection can be considered approximately as an independent measurement. Consequently, the rank of the system's measurement matrix is nearly tripled, significantly reducing the null space of the matrix and enabling the multichannel single-pixel imaging system to recover finer image details. Experimental results indicate that the proposed method achieves imaging quality comparable to traditional methods at an 8% sampling rate, and even at an extremely low sampling rate of 4%, maintains this quality at a resolution of 256× 256 pixels.