Error values analysis for inaccurate projective transformation of a quadrangle

作     者：I A Konovalenko J A Shemiakina 

作者机构：Institute for Information Transmission Problems of Russian Academy of Sciences (Kharkevich Institute) Bolshoy Karetny per. 19 build.1 Moscow Russia 127051 Moscow Institute of Physics and Technology (State University) Institutsky per. 9 Dolgoprudny Moscow Region Russia 141701 Smart Engines Ltd. pr. 60-letiya Oktyabrya 9 Moscow Russia 117312 Institute for System Analysis of Federal Research Center «Computer Science and Control» of Russian Academy of Sciences pr. 60-letiya Oktyabrya 9 Moscow Russia 117312 

出 版 物：《Journal of Physics: Conference Series》 

年 卷 期：2018年第1096卷第1期

学科分类：07[理学] 0702[理学-物理学] 

摘      要：The paper introduces a quality metric for a projective correction of a document photograph obtained from any viewpoint. For the quantitative quality measurement of the projective transform every document point is assigned a specific shift - the distance between the ideal and real positions of this point on the corrected image. We chosen the maximal shift throughout the document as the overall quality measure. We contradict a hypothesis that the maximal shift is obtained in the document corners. A proof is given that the maximal shift occurs on a document border and provide the analytical solution to the problem of locating it.