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Available online at www.sciencedirect.com ScienceDirect Physics Procedia 73 (2015 ) 246 250 4th International Conference Photonics and Information Optics, PhIOO 2015, 28-30 January 2015 MINACE filters: recognition of the images received fromm various independent sources N.N. Evtikhiev, E..K. Petrova, R.S. Starikov, D.V. Shaulskiy, E.Yu. Zlokazov* National Research Nuclear University MEPhI (Moscow Engineeringg Physics Institute), Kashirskoye shosse s 31, Moscow, 115409, Russia Abstract The investigation results of distortion invariant correlation filters application to recognition of objects captured by different independent digital cameras in different conditions are presented. 2015 The Authors. rs. Published by by Elsevier Elsevier B.V. B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Peer-review under responsibility of the National Research Nuclear University MEPhI (Moscoww Engineering Physics Institute). Peer-review under responsibility of the National Research Nuclear University MEPhI (Moscow Engineering Physics Institute) Keywords: correlation pattern recognition; distortion invariant filters; MINACE filter. 1. Introduction Application of distortion invariant correlation filters (DIF) allows to achieve invariance off correlation image recognition method to different distortions of target object such as planar and spatial rotation, scaling, illumination variations, deformation, etc. DIF application approach is based on replacement of target object image by synthesized effective fiducial object correlation filter (CF), which includes a priori defined information about possible distortions. One of the most perspective types of CF is filter with minimization of noise and average correlation energy (MINACE) [Cassasent et.al (1992)]. This filters showed effective results of application to invariant recognition of target object represented by grayscale images in presence of complexx backgroundd noises. Moreover MINACE filters are economic in terms of computationalc l burden during its synthesis. Early researches showed the possibility to achieve a high recognition characteristicsc s using CF MINACE. Special interest t of CF MINACE application is connected to possibility of its realization in optical image correlators [Cassasent t et.al (2005-2008) Evtikhiev et.al (2012-2014)]. * Corresponding author. Tel.: +7-926 215 12 18; fax: +7-499-324-74-03. E-mail address: ezlokazov@gmail.com 1875-3892 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Peer-review under responsibility of the National Research Nuclear University MEPhI (Moscow Engineering Physics Institute) doi:10.1016/j.phpro.2015.09.165

N.N. Evtikhiev et al. / Physics Procedia 73 ( 2015 ) 246 250 247 The major goal of the present article iss investigationn of optimal representation of training information about target object for CF MINACE synthesis for target object images recognition in i conditions s close to real life problems. 2. Object recognition problem Modal formulation of recognition problem assumess distinguishing of true object images from the images of treee types false object with similar shapes in conditionn of spatial rotation of objects; see for example [Evtikhiev et.al (2012-2014)]. We used 256-levels (8 bit) grayscale images with the resolution of 256x256 pixels. Figure 1 illustrates the examples of test images that were used in our researches. Fig 1. Examples of test images usedd in our investigations: columns 1 3 false objects; column 4 true object Images been used in the work: 1) Two independently achieved sets contained by 358 images of scale models of true and false objects subjected to rotation in the range of 360 degrees with different viewing angles a captured by digital reflex photo camera, 2) Two independently achieved sets contained by 358 images of scale models of true and false objects subjected to rotation in the range of 360 degrees with different viewing angles captured by commercial web-camera, 3) Images obtained using vector 3D model of true object in the range of 3600 degrees of rotation 4) Different images of real test objectss from randomm view points captured in different d environment conditions The synthesis of CF MINACE was provided analogously to [Evtikhiev et.al (2012-2014)]. The amount of training images of target object varied during the synthesis, the developed software allows to use more than 800 images to be used in filter generation. For each synthesized filter we numerically calculated the cross-correlation function between filter and test images and obtained the discrimination characteristic the dependence off filter response from the count number of object viewpoint. Two types of correlation metrics m were used to provide the achieved correlation fields post-processing: the height of correlation peak and peak-to-sidelobe ratio value. Statistical characteristic of each filter discrimination ability was estimated accordingg to Neyman-Pearson criterion. 3. Recognition of images captured by different cameras There are three cases were investigated for test images of objects scale models with the uniform background, different viewpoints and different amount off training images used for CF MINACE synthesis: 1) The same collection of images captured by digital reflection camera were used u as training images forr filter synthesis and as test images to be recognized r (C1-C1 case) 2) Different collection of images captured by the same digital reflection camera were usedd as training and a as test images to be recognized (C1-C2 case)

248 N.N. Evtikhiev et al. / Physics Procedia 73 ( 2015 ) 246 250 3) Training images collection and test images collection to be recognized were captured byy different cameras (reflection digital camera and web-camera) in different illumination conditions. The illumination variability was partially adjusted during the preliminary processing (C1-W case). When uniform background was used in test t images we achieved the next results: in C1-C1 case probability of recognition error was less then 0,1%, in case C1-C2 it was about 1% while in case C1-W probability of errorr was 10% %. The discrimination characteristics of these cases aree illustrated on figures 2-4. In all the investigated cases the optimal conditionn of CF MINACE synthesis was established. Fig 2: The example of CF MINACE discrimination characteristic. Illustrated plot represents the dependency of correlation peak amplitude from the number of object image in chosen collection in C1-C1 casee for all the test objects used in simulations. The number of image ini collection correspondss to the same viewpoint for all collections of objects. Viewpoint polar angle was fixed on 50 degrees; the range of viewpoint azimuthal angle variation v is 90 degrees with angular step of 1 degree. Fig 3. CF MINACE discrimination characteristics for C1-C2 case in same simulations conditions as in Fig.2.

N.N. Evtikhiev et al. / Physics Procedia 73 ( 2015 ) 246 250 249 Fig 4. CF MINACE discrimination characteristics for C1-W case in same simulations conditions as s in fig.2. 4. Recognition of real object images using filters generated from the images of scaled s modelss photographs Recognitionn of real objects imagess using CF MINACE synthesized from scaled models photographs considered by means of investigation of cross-correlation function. In some casess it was observed that in such s a rough conditions the quality of correlation function f remained acceptable for correctt recognition. Figure 5 illustrates one of these cases. The conditions of thesee tests requiree an additional investigation and will bee considered in i our further researches. Fig 5. A photographs of a real object and its scaled model with uniform background, used as targett for CF MINACEE training images set formation (upper row); the intensity of cross-correlation function between these images with the filter synthesized s usingg 358 images of target object.

250 N.N. Evtikhiev et al. / Physics Procedia 73 ( 2015 ) 246 250 5. Conclusion In this report we demonstrated the possibilities of correlation pattern recognition method based on CF MINACE application for identification of images of target object in presence of clutter objects captured by different acquisition devices. The conditions of optimal representation of filter training information investigated in the work allowed successful implementation of this method. Acknowledgements This work was supported by grant 14-19-01751 from the Russian Science Foundation (RSF). References Ravichandran, G., Casasent, D., 1992. Minimum noise and correlation energy optical correlation filter. Appl. Opt. 31, 1823-1833. Patnaik, R., Casasent, D., 2005. Illumination invariant face recognition and impostor rejection using different MINACE filter algorithms. Proc.SPIE 5816, 94-104. Casasent, D., Patnaik, R., 2006. Automated synthesis of distortion-invariant filters: AutoMinace. Proc.SPIE 6384, 638401. Casasent, D., Patnaik, R., 2006. MSTAR object classification and confuser and clutter rejection using Minace filters. Proc.SPIE 6234, 62340S. Patnaik, R.; Casasent, D., 2007. Minace filter tests on the Comanche IR database. Proc.SPIE 6574, 65740H Patnaik, R.; Casasent, D., 2008. Clutter performance and confuser rejection on infrared data using distortion-invariant filters for ATR. Proc.SPIE 6967, 696705. Evtikhiev, N.N., Shaulskiy, D.V., Zlokazov, E.Yu., Starikov, R.S., 2012. Variants of minimum correlation energy filters: comparative study. Proc. SPIE 8398, 83980G. Evtikhiev, N.N., Shaulskiy, D.V., Zlokazov, E.Yu., Starikov, R.S., 2013. MINACE filter realization as computer generated hologram for 4-f correlator. Proc. SPIE 8748, 87480O. Shaulskiy, D.V., Evtikhiev, N.N., Starikov, S.N., Zlokazov, E.Yu., Starikov, R.S., 2014. MINACE filter: variants of realization in 4-f correlator. Proc. SPIE 9094, 90940K.