@InProceedings{schilling_cvww2011, IS = { zkontrolovano 15 Jan 2013 }, UPDATE = { 2012-03-07 }, author = {Schilling, Tanja and Pajdla, Tom{\'a}{\v s}}, title = {An Algebraic Approach to Camera Calibration Based on Distance Constraints}, year = {2011}, pages = {72-79}, booktitle = {CVWW '11: Proceedings of the 16th Computer Vision Winter Workshop}, editor = {Wendel, Andreas and Sternig, Sabine and Godec, Martin}, publisher = {Graz University of Technology}, address = {Inffeldgasse 16/II, Graz, Austria}, isbn = {978-3-85125-129-6}, book_pages = {165}, month = {February}, day = {2-4}, venue = {Mitterberg, Ennstal, Austria}, annote = {In this paper, we propose an approach to an algebraic computation of a projective transformation matrix that upgrades a 3D reconstruction. Constraints are derived from images of segments of equal lengths and yield a set of polynomial equations which we try to solve by the means of Gr\"obner bases. Since a straightforward computation is infeasible for this problem, a strategy is introduced in which a Gr\"obner basis is constructed for a special template data first and the actual data is processed afterwards according to the resulting procedure template. We present experiments that encourage the assumption that this method is applicable in general. }, keywords = {computer vision, camera calibration}, prestige = {international}, project = {MSM6840770012}, acceptance_ratio ={0.8}, }