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Volume 34 #2

Contents

  1. Assessment of visual sensations of color changes on chronic pain patients during empatho-technique sessions
  2. CONTACT LENS WITH IMPLANTED OCCLUDER AS A TOOL FOR ASSESSMENT OF FAR PERIPHERAL VISION IN NATURAL VIEWING CONDITIONS
  3. Psychoacoustic and electrophysiological parameters in patients after cochlear implantation
  4. Threshold loudness’ changes for the first and last pulse in sequence in listeners with normal hearing and hearing losуs
  5. Maximal directions discrepancy as accuracy criterion of images projective normalization for optical text recognition
  6. CT-images correction method for binarization quality improvement
  7. Study of impact of X-Ray imagery nature on keypoints detection and description quality

Maximal directions discrepancy as accuracy criterion of images projective normalization for optical text recognition

© 2020 I. A. Konovalenko, D. V. Polevoy, D. P. Nikolaev

Institute for Information Transmission Problems (Kharkevich Institute) RAS 127051 Moscow, B. Karetny per. 19, Russia
Smart Engines Service LLC 117312 Moscow, pr. 60-letiya Oktyabrya, 9, Russia
Institute for System Analysis of Federal Research Center “Computer Science and Control” RAS 117312 Moscow, pr. 60-letiya Oktyabrya, 9, Russia
National University of Science and Technology “MISIS” 119991 Moscow, Leninsky prospect, 4, Russia
Moscow Institute of Physics and Technology (State University) 141701 Dolgoprudny, Institutsky pereulok, 9, Moscow Region, Russia

Received 08 Oct 2019

The application of projective normalization (a special case of orthocorrection) to photographs of documents for their further optical recognition is generally accepted. To date, a number of criteria are known for the accuracy of projective normalization. Almost all of them characterize only the coordinates discrepancy. However, the text fields of documents usually have an elongated shape, so that even with small coordinates discrepancy, large directions discrepancy are possible, which significantly affect the quality of segmentation of the field and the recognition of individual characters in it. The problem of accurate correction of directions discrepancy also arises in tomography problems if a spiral scanning scheme is used for measurement or projections are recorded in tomosynthesis schemes. To describe images projective normalization accuracy at a point, a pointwise maximum directions discrepancy is proposed. As a criterion for projective normalization accuracy of the entire image, a maximum directions discrepancy equal to the maximum pointwise maximum directions discrepancy in the region of interest is proposed. An analytical solution to the problem of calculating the pointwise maximum directions discrepancy is obtained. A hypothesis was put forward and numerically confirmed that the pointwise maximum directions discrepancy is a quasiconvex function. The theorem is proved that the supremum of a quasiconvex function on a bounded closed set is equal to the supremum on the extreme points of its convex hull. Based on the hypothesis and theorem, an analytical solution to the problem of calculating the maximum directions discrepancy on the polyhedral region of interest is proposed.

Key words: orthocorrection, perspective correction, images projective normalization, accuracy criteria, directions discrepancy, optical character recognition, mathematical programming

DOI: 10.31857/S0235009220020079

Cite: Konovalenko I. A., Polevoy D. V., Nikolaev D. P. Maksimalnaya nevyazka napravlenii kak kriterii tochnosti proektivnoi normalizatsii izobrazheniya pri opticheskom raspoznavanii teksta [Maximal directions discrepancy as accuracy criterion of images projective normalization for optical text recognition]. Sensornye sistemy [Sensory systems]. 2020. V. 34(2). P. 131–146 (in Russian). doi: 10.31857/S0235009220020079

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