The emerging optical imager utilizes Fourier-domain interferometry and can reduce system weight, size and power by an order of magnitude compared to conventional optical telescopes at the same resolution. The compressive sensing theory demonstrates that incomplete and noisy measurements may actually suffice for accurate reconstruction of compressible or sparse signals. In this paper, we propose an optimized design of the emerging optical imager based on compressive sensing theory. It simplifies data acquisition structure and reduces data transmission burden. In addition, the system robustness is improved.