Estimation of the viewpoint of a single perspective projection image

A novel method of estimating the viewing position of a single perspective projection image is presented in the paper. This method is based on a set of newly defined Fourier descriptors (FDs) to describe the contour of a planar shape lying in a three dimensional (3-D) domain. In order to generate the 3-D planar image from the 2-D perspective image, the authors use the inverse paraperspective transformation instead of the inverse perspective transformation. Based on the linear feature of the paraperspective transformation, some new FDs for the 3-D planar contour have been developed. They are proved to be solely dependent on the FDs of the contour of the 2-D projected image and the slope of the world plane. Thereafter, ways for simple and efficient estimation of the unknown viewing position can be achieved