Fonaments geomètrics de la reconstrucció 3D Authors Joan Carles Naranjo Abstract The goal of this paper is to describe the geometric fundamentals of the 3D reconstruction of a scene using two images obtained from two digital devices. We will start by explaining the camera model and its calibration. Then we will focus on the epipolar geometry which analyzes the relative position between the two cameras. This information is codified by the fundamental matrix in the non-calibrated case, and by the essential matrix in the calibrated case. Finally, we will describe how to effectively reconstruct the scene from the essential matrix. Downloads Text complet (Català) Published 2017-02-13 How to Cite Naranjo, J. C. (2017). Fonaments geomètrics de la reconstrucció 3D. Butlletí De La Societat Catalana De Matemàtiques, 31(2), 179–193. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/93711.001 More Citation Formats ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver Download Citation Endnote/Zotero/Mendeley (RIS) BibTeX Issue Vol. 31 No. 2 (2016) Section Articles License The intellectual property of articles belongs to the respective authors.On submitting articles for publication to the journal Butlletí de la Societat Catalana de Matemàtiques, authors accept the following terms:Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Butlletí de la Societat Catalana de Matemàtiques.Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.The journal Butlletí de la Societat Catalana de Matemàtiques is not responsible for the ideas and opinions expressed by the authors of the published articles.