Resumen: Line-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. Idioma: Inglés DOI: 10.1016/j.cviu.2018.01.003 Año: 2018 Publicado en: COMPUTER VISION AND IMAGE UNDERSTANDING 167 (2018), 134-152 ISSN: 1077-3142 Factor impacto JCR: 2.645 (2018) Categ. JCR: ENGINEERING, ELECTRICAL & ELECTRONIC rank: 115 / 265 = 0.434 (2018) - Q2 - T2 Categ. JCR: COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE rank: 58 / 133 = 0.436 (2018) - Q2 - T2 Factor impacto SCIMAGO: 0.766 - Computer Vision and Pattern Recognition (Q1) - Software (Q1) - Signal Processing (Q1)