Single-pixel imaging using reweighted amplitude flow optimization

When random patterns are applied, correlation-based reconstruction is widely used in single-pixel imaging (SPI). The performance of the correlation algorithm still needs to improve in achieving high-quality object reconstruction, although some methods have been developed (e.g., Gerchberg-Saxton-like). Here, we present an approach to enhancing SPI performance by integrating the reweighted amplitude flow (RAF). The method optimizes the reconstruction process by weighting the measurement data adaptively to improve robustness and reconstruction accuracy. An efficient estimation of the object is first obtained through the weighted maximal correlation initialization. Subsequently, iterative updates refine the estimate using the reweighted gradient descent. This approach improves SPI performance, providing high-quality object reconstruction. The results demonstrate effectiveness of the RAF-enhanced SPI, showing its potential for the applications.