The inverse problem in perspective

Abstract

This thesis is intended to introduce readers to an interesting topic in geometry. Weexplore three methods for obtaining the position of the camera from a box-shapedobject with the help of its image. Furthermore, we seek to understand the geometrybetween these methods. Two of the methods we discuss are in three-point perspective,by Criminisi and Eggar. The third method, by Henle and Byers, is in two-pointperspective. We make use of projective geometry and homogeneous coordinates to showhow, by taking geometrical measurements of a box-shaped figure and its image, we cancalculate the position of the camera.