Correlation holography reconstructs three-dimensional (3D) objects as a distribution of two-point correlations of the random field detected by two-dimensional detector arrays. Here, we describe a hybrid method, a combination of optical and computational channels, to reconstruct the objects from only a single pixel detector. An experimental arrangement is proposed as a first step to realizing the technique; we have simulated the experimental model for both scalar and vectorial objects. The proposed technique provides depth focusing and 3D reconstruction with digital suppression of unwanted frequency spectrum.