Towards closed form solutions to the multiview constraints of curves and surfaces

Abstract

Abstract. In this paper we present the theoretical setting for the closed form solutions to the multiview constraints of curves and surfaces observed by the motion of a camera in a scene. We £nd that knowledge of a curve or surface‘s structure can provide matching constraints and thus closed form solutions for the position of a camera in a scene over many images. This is advantageous for the process of Structure From Motion (SFM) as it may negate some of the need for non-linear optimisation (Bundle-Adjustment) of an initial linear solution to the motion of the camera and structure of the scene.