For high-fidelity single-pixel complex-amplitude measurement, we implement robust and regularized wavefront separation by integrating multi-distance correlated reconstruction with constrained alternating projection retrievals. An adaptive dynamic weighting mechanism for group-wise wavefront updates further reinforces the stability and accuracy of imaging convergence. Additionally, a compressed phase retrieval driven by sparsity priors markedly optimizes efficiency by enabling wavefront reconstruction with single-frame diffraction. The proposed method allows flexible imaging with different-frame diffraction, promising it as a plug-and-play solution for high-fidelity single-pixel complex-field detection.