Computer Optics

5-13

Authors: Ustinov A.V., Khonina S.N.

In previous studies we have shown on the basis of the geometrical-optical analysis that the fracxicon (generalized optical element of the parabolic lens and the linear axicon) formally produces an infinitely large value of the intensity on the optical axis. Within the framework of the paraxial wave model this caustic effect was not found. In this paper, we consider plane wave diffraction on the fracxicon in nonparaxial wave model and we show that at high numerical aperture the fracxicon with an exponent close to 3/2, is actually an analogue of the hyperbolic lens optimally focusing incident beam.

21-29

Authors: Sotsky A.B., Belskaya O.A., Sotskaya L.I.

A method based on the Green’s theorem and the Graph’s addition theorem is used to construct a solution of 2D problem on lateral diffraction of a light beam on a microstructured fiber formed with a finite number system of parallel cylinders enclosed in a restricted shell. It is shown that the solution can be used for computing the angular distribution of the far field intensity in the case of three-dimensional beam diffraction on a microstructured fiber. Diffraction fields appeared at illumination of microstructured fibers by TE and TM polarized Gaussian beams are analyzed.

36-41

Authors: Volostnikov V.G., Kishkin S.A., Kotova S.P.

The paper brings forward a theoretical study of the usability of the mathematical apparatus of spiral beams for problems of the contour images identification. The estimation of the approach offered is given in the light of its advantages and shortcomings, numerical simulation results are offered and the method applications aspects are analyzed in the context of actual practical tasks.

47-51

Authors: Masalsky N.V.

Perspective approach of simulation of the silicon nanophotonic modulator characteristics executed on the basis of silicon-on-insulator standard technical process is discussed. Optical characteristics of the waveguide structure are changed by means of effect of free carrier dispersion. On the basis of numerical calculations the device topological parameters are optimized for achievement of high modulation characteristics.

60-69

Authors: Mokeyev V.V. , Tomilov S.V.

Some aspects of image analysis based on PCA (Principal Component Analysis) and LDA (Linear Discriminant Analysis) are considered in the paper on the solution of the image recognition. The main idea of this approach is that, firstly, we project the face image from the original vector space to a face subspace via PCA; secondly, we use LDA to obtain a linear classifier. Efficiency of application of PCA and LDA to a problem of recognition of face images without their preliminary normalization is investigated in the paper. When the number of images per class is not large, it is proposed to supplement the training set by the images obtained by rotating, scaling and mirroring. On images of the ORL and Feret databases influence expansion of the training set on performance of unnormalized face images recognition is studied. Also a problem of increasing the high performance of principal component calculation for large image samples is considered. A linear condensation method is used as a new technique to calculate the principal components of a large matrix. The accuracy and high performance of the developed algorithm is evaluated.

76-80

Authors: Nemirovskiy V. B., Stoyanov A. K.

In this paper the usage of multi-step segmentation for near-duplicate image recognition is investigated. The clustering of image pixels brightness is used for segmentation. The clustering is implemented by means of a recurrent neural network. The search pattern based on the rank distributions of the brightness clusters cardinality is suggested. Experimental results on the near-duplicate image recognition based on the application of the suggested search pattern are given. It is shown that the use of multi-step segmentation and rank distributions of the brightness clusters cardinality allows successfully recognize the duplicates obtained by the considerable visual distortion of the original image or by scale change of image.

88-98

Authors: Sklyarenko M.S.

Nowadays computer vision methods, in particular object tracking, are widely used by scientists and engineers. Primarily, object tracking is used in such applications as CCTV, crash tests, sports broadcasts and etc. Many methods can be adapted for non-contact optical measurements of coordinates and velocities of mechanical systems in physical experiments. Camera parameters influence on optical measurement accuracy is analyzed. We present comparative review of tracking algorithms and show how they can be used in mechanical experiments and analyze their accuracy in real mechanical experiments. Also we show our earlier developed methods adopted for the laboratory experiments which have subpixel accuracy and are robust to lightning differences. We present short review of tracking software. It is shown that object tracking techniques can be used for non-contact measurements and analysis of mechanical systems.

106-112

Authors: Vaniev A.A.

Article is devoted to the development of methods and criteria for identification of multiple moving objects observed by passive optical digital locator. Approaches to the development of methods of identification of multiple moving objects are examined. Mathematical model of the promising measuring system and some results of practical research are provided. The developed model can be used in various measurement and control systems, real-time observation for the separate estimation of motion of objects in the group.

119-125

Authors: Sadykov S.S., Bulanova Yu.A., Zakharova E.A.

This paper proposes a technology of computer diagnosis of tumors in mammary gland of three main types: cyst, fibroadenoma, and breast cancer. It is noted that the use of such technology in the health care setting reduces the chance of missing a tumor when viewing mammograms, at an early stage of development, and also minimizes the subjectivity of diagnosis. Work on a set of technologies studied real mammograms from MIAS database with known diagnoses. The results of experiments show the possibility of using the developed integrated cabinet in mammography based on this technology as well for general research as for screening.

132-155

Authors: Ilyasova N.Yu.

A review of key approaches to the digital analysis of the human vascular system images is given in the paper. We outline major stages of diagnostic image processing and analyze different approaches to the extraction and quantification of blood vessel morphological features.

164-168

Authors: Anshakov G.P., Raschupkin A.V., Zhuravel Y.N.

RESURS-P spacecraft enables to observe underlying surface using both multi– and hyperspectral equipment at the same time. The multispectral images received have high spatial but low spectral resolution. Hyperspectral images, on the contrary, have high spectral but low spatial resolution. This article is devoted to the hyper– and multispectral data fusion method of information properties improvement.