A structured light system with spinning fringe projection has been an excitement for three-dimensional (3-D) shape measurement since high-speed phase-shifting fringe patterns can be produced by mechanical spinning slide projectors. However, two cameras are typically required for 3-D reconstruction since the calibration method of spinning fringe projection is not well documented yet. This article introduces a computational framework for the calibration of spinning fringe projection profilometry using polar coordinate representation. In this preliminary study, we emulated the ideal spinning fringe projection with a video projector that can precisely control phase shifts with minimized harmonic errors. Results show that under the ideal scenario, our calibration method can reach an accuracy of 0.10 mm with a standard deviation of 0.73 mm by measuring a spherical object with 150 mm diameter.