doi:10.1016/j.cviu.2018.01.003engBermúdez-Cameo, JesúsLópez-Nicolás, GonzaloGuerrero, José J.Fitting line projections in non-central catadioptric cameras with revolution symmetryART-2018-104898Line-images in non-central cameras contain much richer information of the original 3D line than line projections in central cameras. The projection surface of a 3D line in most catadioptric non-central cameras is a ruled surface, encapsulating the complete information of the 3D line. The resulting line-image is a curve which contains the 4 degrees of freedom of the 3D line. That means a qualitative advantage with respect to the central case, although extracting this curve is quite difficult. In this paper, we focus on the analytical description of the line-images in non-central catadioptric systems with symmetry of revolution. As a direct application we present a method for automatic line-image extraction for conical and spherical calibrated catadioptric cameras. For designing this method we have analytically solved the metric distance from point to line-image for non-central catadioptric systems. We also propose a distance we call effective baseline measuring the quality of the reconstruction of a 3D line from the minimum number of rays. This measure is used to evaluate the different random attempts of a robust scheme allowing to reduce the number of trials in the process. The proposal is tested and evaluated in simulations and with both synthetic and real images.2018http://zaguan.unizar.es/record/7726410.1016/j.cviu.2018.01.003http://zaguan.unizar.es/record/77264oai:zaguan.unizar.es:77264info:eu-repo/grantAgreement/ES/MINECO/DPI2014-61792-EXPinfo:eu-repo/grantAgreement/ES/MINECO/DPI2015-65962-RCOMPUTER VISION AND IMAGE UNDERSTANDING 167 (2018), 134-152by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess