This Letter introduces a novel, to the best of our knowledge, calibration method for structured light systems that simplifies the calibration process and reduces time consumption. We combine vertical and horizontal fringe patterns into a single composite pattern and retrieve the bidirectional phase based on Fourier transform profilometry (FTP). The entire calibration process becomes faster and more simplified by capturing only a single-shot pattern. Experimental results demonstrate that the proposed method achieves high accuracy and robustness, comparable to the conventional method that requires capturing numerous fringe patterns for the typical phase-shifting algorithm.