A model of synthetic non-linear modulation is suggested to derive a fast and enhanced multi-probing recovering algorithm. The processing approach originally arises from minimizing non-linear errors caused by using optical modulators such as Pockels cells in an active vision system. The algorithm has been obtained in the case that the non- linear modulator and demodulator are identical. This paper will adapt the algorithm more flexible subject to a non- linear phase drifting due to non-identical or asymmetric modulators. The model of synthetic non-linear modulation reveals that a 3D color vision system can be realized in a compact and integral method. Various incoherent signals acting as color probes are synchronously modulated each with characterizing rf-signals. These signals are then incoherently superposed in the transmission medium. After being reflected from an object, the selectively attenuated signals are compactly demodulated by using one single broadband mixer. The colors are numerically filtered and evaluated rather than using optical filters. The rf- modulated 2D interferogram can be fast processed by the proposed algorithm to extract 3D and color properties. Considering the difficulty to obtain a broadband optical demodulator, a technique of `modulation matching' is also suggested in this paper thus improving the performance. It provides a prospect to recover 3D color properties with reduced optical elements and one black-white CCD camera at low cost and high resolution.