Volume 32 #1

Contents

1. Variability of different functional songs types from Aelia acuminata L. (Heteroptera, Pentatomidae)
2. Receptive field sizes of sustained ganglion cells in the retina of Carassius gibelio
3. Fusion of radar, visible and thermal imagery with account for differences in brightness and chromaticity perception
4. Modelling of the unmanned aerial vehicle navigation on the basis of two height-shifted onboard cameras
5. Visual localisation of aerial images on vector map using colour-texture segmentation
6. Comparison of the digitized pages of business documents by means of recognition
7. The algorithm of epipole position estimation under pure camera translation
8. Segmentation of vehicle registration plates based on dynamic time warping
9. Finding the correspondence between closed curves under projective distortions
10. Blur kernel estimation with algebraic tomography technique and intensity profiles of object boundaries
11. Weighted search for a projective optical flow resistant to specular reflections
12. Algebraic methods for tomography problem
13. Quantitative analysis of the point light source virtual image doubling in underwater stereo vision

In this paper, the problem of finding a correspondence between closed contours of objects on a pair of images under small projective distortion is investigated. Several methods are considered and compared. Sufficient conditions for the applicability of the map-to-nearest method are given and proved.

Key words: projective transformation, object contour mapping, technical vision, image alignment, contour analysis

DOI: 10.7868/S0235009218010092

References:

• Gurov V.S., Kolod'ko G.N., Kostjashkin L.N., Loginov A.A., Muratov E.R., Nikiforov M.B., Novikov A.I., Pavlov O.V., Romanovskij Ju.M., Sablina V.A., Jukin S.A. Obrabotka izobrazhenii v aviatsionnykh sistemakh tekhnicheskogo zreniya [Image Processing in the Aviation Computer Vision Systems]. Moscow. FIZMATLIT, 2016. 240 p. (in Russian).
• Nikolayev P.P., Nikolayev D.P. Proektivno invariantnoe raspoznavanie ploskikh konturov na primere krivykh s simmetriyami [Projectively invariant recognition of plane contours on the example of centrally symmetric curves]. Trudy ISA RAN [Proceedings of ISA RAS]. 2009. V. 45. P. 209–221 (in Russian).
• Furman Ja.A., Kreveckij A.V., Peredreev A.K., Rozhencov A.A., Hafizov R.G., Egoshina I.L., Leuhin A.N. Vvedenie v konturnyi analiz; prilozheniya k obrabotke izobrazhenii i signalov [Contour Analysis Introduction and it’s Image and Signal Processing Application]. Moscow. FIZMATLIT, 2002. 592 p. (in Russian).
• Åström K. Fundamental Difficulties With Projective Normalization of Planar Curves. Applications of Invariance in Computer Vision: Second Joint European-US Workshop Proceedings. Joseph L. Mundy. Berlin. Springer. 1993. P. 199–214. DOI: 10.1007/3-540-58240-1_1
• Hartley R.I., Zisserman A. Multiple View Geometry in Computer Vision. 2nd edition. Cambridge University Press, 2003. 673 p.
• Hoff D.J., Olver P.J. Extensions of invariant signatures for object recognition. Journal of mathematical imaging and vision. 2013. V. 45(2). P. 176–185. DOI: 10.1007/s10851-012-0358-7
• Novikov A.I., Sablina V.A., Efimov A.I., Nikiforov M.B. Contour Analysis in the Tasks of Real and Virtual Images Superimposition. Journal of Coupled Systems and Multiscale Dynamics. 2016. V. 4(4). P. 251–259. DOI: 10.1166/jcsmd.2016.1112
• Novikov A.I., Sablina V.A., Nikiforov M.B., Loginov A.A. The Contour Analysis and Image-Superimposition Problem in Computer Vision Systems. Pattern Recognition and Image Analysis. 2015. V. 25(1) P. 73–80. DOI: 10.1134/S1054661815010149
• Sablina V.A., Efimov A.I., Novikov A.I. Combined Approach to Object Contour Superimposition in Heterogeneous Images. Proceedings on the 6th Mediterranean Conference on Embedded Computing (MECO). IEEE. 2017. P. 120–123. DOI: 10.1109/MECO.2017.7977175
• Younes L. Optimal Matching Between Shapes Via Elastic Deformations. Image and Vision Computing. 1999. V. 17(5–6). P. 381–389. DOI: 10.1016/S0262-8856(98)00125-5