Division model-based distortion correction method for head-mounted displays

In this paper, we present a simple and efficient method for correcting the asymmetric and nonlinear geometrical distortion of a head-mounted display (HMD). The method divides the object space into a number of quadratic triangular elements and applies a quadratic predistortion for each image section so that it can handle the distortion with any complex shapes caused by the decentering and tilted optics and improve the calibration accuracy. The errors introduced in the process of fabricating and assembling can also be eliminated. We investigated the use of a quadratic division model and two types of linear division models on an off-axis HMD to correct the optical distortion. Experimental results demonstrated that the quadratic division model converged at a faster rate and produced higher accuracy over the typical linear model. The average root of mean square error (RMSE) after distortion correction was one pixel, and the maximum standard deviations in all rows and columns were 0.67 pixel and 0.57 pixel. In addition, the deformation continuity is maintained by using the quadratic element with connected midside nodes.