Geometric distortion correction for projections on non-planar and deformable surfaces based on displacement of peripheral image points

Abstract

In delivery of media content involving projections of images on non-planar and deformable surfaces, there is an inevitable problem of geometric distortion which causes visually incorrect images to be produced in the display region. Presented in this paper is a simple and computation efficient method for geometric distortion correction. While the simplicity comes from the use of a single uncalibrated camera to capture the projected image, the computation efficiency comes from the use of a small number of image points along the periphery of the display region to estimate the geometric distortion. In particular, cylindrical surface deformation is used to model the geometric displacements of peripheral image points, and bilinear approximation is used to model the geometric displacements of image points lying between the peripheral image points. Results of tests on static and deformable projection surfaces show this distortion-correction technique improved the normalised geometric similarity measure of distorted displayed images by as much as 31%.