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.

635-643

Authors: Sizova I.M.

A method for approximating the encircled energy in a definite solid angle in the Fraunhofer region by the simulation of the optical transfer function derivative is proposed. The selection of free model parameters allow one to obtain a valid expansion of the encircled energy at the origin of the angular coordinate and at infinity, providing a good approximation in the intermediate domain.

654-662

Authors: Savelyev D.A., Khonina S.N.

We investigate the intensity distribution of sharply focused Laguerre-Gaussian beams in relation to the uniform (linear and circular) polarization of the beam and the order of the vortex phase. It is shown that to the greatest extent the polarization state affects the longitudinal component of the electric vector of the light field. The greatest visual difference in the total intensity patterns for different polarization types is observed when using a first-order phase vortex. The use of a diffractive axicon improves focusing when compared with an aplanatic lens.

674-677

Authors: Skidanov R.V., Ganchevskaya S.V.

Generation of vortex laser beams by use of a parabolic vortex lens is discussed. We show that when generating such beams, topological charges of the vortex lens structure and those of the lens individual zones are summed up.

687-693

Authors: Kozlova E.S., Kotlyar V.V., Nalimov A.G.

In this paper using FDTD-method, we conduct a comparative modeling of a sharp focus of the laser light by using binary-phase and binary-amplitude Fresnel zone plates, with the latter being fabricated as thin metal films of 20-30-nm thickness. Subwavelength local maximums are found near the rings of the silver zone plates, with their intensity being comparable with the intensity in the focus. They can be explained by the excitation of surface plasmons.

702-708

Authors: Degtyarev S.A., Karsakov A.V., Branchevskaya E.S., Khonina S.N., Kotlyar V.V.

In this work, we use the Zemax software package to study wave front aberrations resulting from modifications of the human eye cornea curvature. The simulation is based on the Liou-Brenann human eye model. The surface curvature and wave front aberrations are described by a Zernike polynomial. We show that defocusing and astigmatism aberrations can be corrected for by means of modification of the cornea curvature using polynomials.

716-720

Authors: Skidanov R.V., Morozov А.А., Porfirev А.P., Blank V.A.

The article describes properties of the spectral filter Edmund Optics (400 – 700 nm). The filter's transmission function is shown to be essentially different from an ideal form claimed by the manufacture. A spectrometer based on this filter is considered. It is shown that even with the filter's spectral transmission function not being very good, it is still possible to generate the desired spectrum with an error of not more than 13 %.

728-737

Authors: Sultanov A.Kh., Vinogradova I.L., Meshkov I.K., Andrianova A.V., Abdrakhmanova G.I., Ishmiyarov A.A., Yantilina L.Z.

It is proposed that a special optical device be used to connect the radio antenna array to a Radio-over-Fiber light guide line, which provides splitting optical signals into predetermined frequency bands. The field calculation within the device active region is done.

744-750

Authors: Kutikova V.V., Gaidel A.V.

In the paper, the efficiency of two methods for feature selection based on Laws’ masks is studied. These are a method of feature ordering in accordance with the criterion of discriminant analysis and tstatistic and a method of iterations through all pairs and triplets of features. The experimental results show that the classification error of the best group for features based on the standard deviation does not exceed the classification error of the best group for features based on the average energy.

762-769

Authors: Rybintsev A.V., Konushin V.S., Konushin A.S.

A new algorithm for consecutive classification of gender and age based on a two-stage support vector regression is proposed. Only most significant local binary patterns are used to describe the image. To enhance the gender classification accuracy we use bootstrapping with the training based on difficult examples, whereas the age classification is improved through the use of floating age ranges.

777-786

Authors: Razgulin A.V., Iroshnikov N.G., Larichev A.V., Pavlov S.D., Romanenko T.E.

We consider a problem of eye-fundus image reconstruction from different-depth fundus sections based on an image stack, with the images obtained via imaging system's fast refocusing as superposition of 3D object sections and blurred images of adjacent-depth sections. An implicit iterative regularization method in the Fourier plane is used for 3D deconvolution. The results of mathematical modeling have demonstrated that the numerical sectioning shows promise when processing ophthalmological images distorted by various types of noise.

795-800

Authors: Yakimov P.Y.

The paper proposes an efficient algorithm for road sign detection in a video obtained from a car dash camera. The algorithms for road sign detection and recognition are implemented using CUDA and operate in real time. A vehicle velocity is used to predict the road sign position in adjacent frames in a video sequence. The paper shows that the road sign tracking of this type improves the system reliability. The experimental results have confirmed high efficiency of the developed road sign detection system.

808-817

Authors: Mitekin V.A.

This paper presents a new method for high-capacity robust watermarking of hyperspectral images. A new algorithm for two-dimensional “noise-like” watermarking patterns generation is proposed as part of robust watermark embedding and detection procedures. The experimental research provided in this work shows that the average complexity of the brute-force key retrieval attack can be increased to 1014 watermark extraction attempts (compared to 104-105 for known robust watermarking schemes). Experimental results also show that the watermark preserves its robustness against lossy compression of host video, at the same time preserving a higher video quality (PSNR up to 51dB) compared to known wavelet-based and DCT-based watermarking algorithms.

449-452

Authors: Kotlyar V.V., Kovalev A.A.

We have obtained explicit expressions for amplitudes of all components of the electric and magnetic vector of a family of vectorial nonparaxial linearly polarized vortex Hankel beams. Thus, closed-form analytical expressions have been derived for the projections of the Umov-Poynting vector and angular momentum vector. Up to now, projections of these vectors have been obtained only for the nonparaxial vectorial Bessel beams and paraxial vectorial Laguerre-Gaussian beams.

459-461

Authors: Volostnikov V.G.

The orbital angular momentum (OAM) for an arbitrary light field as superposition of Hermite-Gaussian modes is considered. An analytical formula for the OAM of such fields is obtained. It is shown that under equal initial conditions, OAM of a linear combination of two Hermite-Gaussian beams derived in this work is equal to that obtained earlier [JOSA A, 31, 274 (2014)]. Relations for more complex combinations of Hermite-Gaussian modes are also derived. It is found that unlike two-mode superposition, in three-mode superposition the OAM can be larger than the maximum index of the superposition for structurally stable light fields.

469-479

Authors: Kharitonov S.I., Volotovskiy S.G., Khonina S.N., Kazanskiy N.L.

In the Introduction section, we offer a historical overview of main experimental and theoretical developments in the field of X-ray crystal analysis. The main part contains a differential approach to solving the problem of diffraction of X-rays by crystals within the scalar theory. Examples of numerical simulation for the basic types of crystal lattices are included.

486-491

Authors: Ivakhnik V.V., Savelyev M.V.

The spatial and temporal structure of an object wave has been analyzed for a four-wave radiation converter in a transparent two-component medium with regard for the electrostriction and Dufour effect. The bandwidth of high-efficiency conversion has been shown to increase over time. We have shown that for a steady-state spatial spectrum of object waves, the spectrum maximum shifts toward lower spatial frequencies, whereas the bandwidth of high-efficiency conversion is decreasing as the ratio of wavenumbers of pumping waves gets increasingly deviated from unity.

500-507

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

In this paper we consider diffraction of a laser beam by a narrow axicon when the cone angle is much less than a limit (at which total internal reflection occurs). In this case, the correct description of the propagation of light through the axicon calls for the consideration of multiple internal reflections. The diffraction is considered using two models: through a geometric optics approach and via solving the Helmholtz equation by a finite element method. Based on the geometrical model, analytical expressions are found for the angles defining the boundaries of the real and imaginary foci. Simulations conducted using the finite element method have confirmed the theoretical results.

515-520

Authors: Kolyuchkin V.V., Zlokazov E.Yu., Odinokov S.B., Talalaev V.Ye., Tsyganov I.K.

Security holograms have been widely used for document and product authenticity protection. The quality of security holograms and master-matrices significantly depends on the perfection of the diffraction grating. The authors introduce a method for checking the security hologram quality based on indirect measurements of diffraction grating parameters. Theoretical results concerned with the use of this method for microrelief quality control are discussed.

529-535

Authors: Greisukh G.I., Ezhov E.G., Kazin S.V., Stepanov S.A.

Color correction in optical systems with constituent elements synthesized by precision molding is investigated. Advantages associated with the use of the technique are demonstrated.

542-556

Authors: Koltsov P.P., Osipov A.S., Kutsaev A.S., Kravchenko A.A., Kotovich N.V., Zakharov A.V.

The paper contains a brief review of main approaches to the comparative performance evaluation of image analysis algorithms. Some empirical methods used for the comparative evaluation of edge detectors and image segmentation algorithms are considered and quantitative criteria employed in these methods are studied. Problems associated with the use of these criteria are described. Finally, using the edge detector evaluation as an example, we propose an empirical method, called EDEM, which is implemented using our proprietary software system PICASSO.

564-571

Authors: Thanh D.N.H., Dvoenko S.D.

Today, raster images are created by different modern devices, such as digital cameras, X-Ray scanners, and so on. Image noise deteriorates the image quality, thus adversely affecting the result of processing. Biomedical images are an example of digital images. The noise in such raster images is assumed to be a mixture of Gaussian noise and Poisson noise. In this paper, we propose a method to remove these noises based on the total variation of the image brightness function. The proposed model is a combination of two famous denoising models, namely, the ROF model and a modified ROF model.

582-591

Authors: Protsenko V.I., Kazanskiy N.L., Serafimovich P.G.

Analysis of two streaming frameworks: Apache Storm and IBM InfoSphere Streams was performed in solving a multiple object detection task. The analysis focused on two parameters: throughput and 95th percentile of image processing delay. Faces were chosen as the objects to be detected. Profiling was held under CentOS operating systems running on a five node cluster. Face detection was performed using an OpenCV cascade classifier. First architectures and the experiment description were covered. Final suggestions on the applicability of the two systems were made in the concluding section of the article. Apache Storm demonstrated a scalability advantage over IBM InfoSphere Streams in the experiment conducted. It was confirmed that the system based on Apache Storm was able to operate on FullHD video in real-time, achieving throughput of 24 images per second on the hardware used.

600-605

Authors: Kotov A.P., Fursov V.A., Goshin Ye.V.

We propose a fast algorithm for disparity maps construction from stereo images. The reliability and efficiency of image matching in subsequent steps is achieved by using epipolar constraints and an image pyramid. The developed method was implemented on a parallel computing platform CUDA. The results of experimental studies show high performance of the proposed approach, while maintaining the high-quality reconstruction of 3D-scenes.

614-621

Authors: Morozov A.N., Kochikov I.V., Novgorodskaya A.V., Sologub A.A., Fufurin I.L.

In the present paper a problem of substance identification in FTIR (Fourier transform infrared) spectroscopy is considered. The spectral library hitlist search is chosen as the main tactic. In the paper the Pearson correlation coefficient as a similarity criterion between two spectra is suggested. A situation when one of the measured spectra has an additive narrowband white noise component with a Gaussian distribution is considered. In that case the probability density of the correlation coefficient is found. A concept of the probability of correct detection is proposed and a theoretical expression is found. In addition, we consider a boundary correlation coefficient search algorithm, which allows one to find a boundary value providing the required correct detection. Computational experiments have shown the applicability of the method.

299-304

Authors: Kotlyar V.V., Kovalev A.A., Soifer V.A.

We consider new solutions of the nonparaxial Helmholtz equation in the cylindrical coordinates, which are treated as nonparaxial scalar vortex Hankel beams of the 1st, 2nd and 3rd types. The beams can be obtained from each other by differentiation. Higher-order types of Hankel beams show lower divergence than the lower-order types. The lowest- (zero-) order Hankel beam of the first type represents a spherical wave.

311-318

Authors: Doskolovich L.L., Golovastikov N.V., Bykov D.A., Kharitonov S.I.

The resonance approximations of phase-shifted Bragg grating (PSBG) reflection and transmission coefficients are obtained as a function of frequency and wave-vector’s tangential components of incident light. The proposed theoretical description is verified using numerical simulations.

324-331

Authors: Kozlov D.A., Kotlyar V.V.

We demonstrated that plane wave diffraction on a dielectric cylinder with resonant radius produces a broader focal spot in case of TM-polarization, and resonant radiuses of whispering gallery modes (WGM) for TM-polarized illumination are significantly greater than corresponding radiuses for TE-polarization. We also showed that high order WGM are exited in cylinders with radiuses close to extreme value conditions of Bessel functions, and that increasing WGM order not necessary leads to stronger light confinement in the focal spot.

339-346

Authors: Doskolovich L.L., Moiseev M.A., Kazanskiy N.L.

Application of a modified supporting quadric method in diffractive optical element design is described. As an example, we compute the eikonal function to focus into a calculator's image represented by a set of points. Properties of the produced image are analyzed using the scalar diffraction theory. It is shown that the proposed method can be used for the design of diffractive optical elements focusing into a continuous required illuminance distribution. Numerical examples also show that the computed eikonal function is a good initial estimate for the iterative Gerchberg-Saxton algorithm.

357-362

Authors: Andreev E.S., Moiseev M.A., Borisova K.V., Doskolovich L.L.

A modification of the Monte-Carlo ray tracing procedure for axisymmetric surfaces is proposed.The main idea consists in the approximation of optical surfaces by truncated cones and the use of an unconventional k-d tree. The simulation results show high performance of the proposed method, with the ray tracing procedure working 3-12 times faster than conventional algorithms based on a triangle approximation.

370-375

Authors: Semenov P.A., Pol’skikh S.D.

A phase-locking system based on the Gerchberg-Saxton algorithm is discussed. A global optimization strategy for retrieving phase information is proposed. A dimension reduction technique based on the block structure principle is considered. The system is simulated numerically for different configurations of phased channels.

385-391

Authors: Mekhonoshina E.V., Modorskii V.Ya.

In this article we overview interdisciplinary problems and perform the numerical modeling of a two-way fluid–structure interaction (2FSI) of processes in a gas-rotor-stator system in relation to a prototype compressor stage. Physical, solid-state and mesh-based models are developed. By calculating the 2FSI, we evaluate the interference of a gas-dynamic stream and a deformable rotor blade. The obtained results are discussed. An important finding of the numerical experiment is that a phase-shift of oscillations between the static and dynamic pressure components in optically transparent environment and a phase shift of pressure oscillations in an optically transparent medium and movement in an optically opaque medium are discovered.

397-405

Authors: Myasnikov V.V.

In this article a new method of nonlinear local processing of digital images, named a local order transform, is proposed and investigated. Properties of the proposed transform are determined. The relevance and efficiency of the proposed method are demonstrated for the applied problem of detecting duplicates in digital images in the case of brightness distortions.

413-419

Authors: Kudinov I.A., Pavlov O.V., Kholopov I.S.

An algorithm for determining the spatial coordinates and angular orientation of an object with reference emitters using a single calibrated camera is considered. The algorithm is based on a sequential solution of a perspective-four-point task and more precise definition of reference emitter’s spatial coordinates using the Levenberg – Marquardt optimization method. It is shown that while in the camera field of view there are four reference emitters with a priori known distances between them measured with up to 0.15 mm precision, it is possible to determine the angular orientation of the object in real time with an error less than 20 angular minutes.

429-438

Authors: Mikhaylov D.V., Kozlov A.P., Emelyanov G.M.

In this paper we look at a problem of extracting knowledge units from the sets of subjectoriented texts. Each such text set is considered as a corpus. The main practical goal here is finding the most rational variant to express the knowledge fragment in a given natural language for further reflection in the thesaurus and ontology of a subject area. The problem is of importance when constructing systems for processing, analysis, estimation and understanding of information represented, in particular, by images. In this paper, by applying the TF-IDF metrics to classify words of the initial phrase in relation to given text corpora we address the task of selecting phrases closest to the initial one in terms of the described fragment of actual knowledge or forms of its expression in a given natural language.

147-151

Authors: Serafimovich P.G.

In this paper we propose and numerically investigate an optical signal modulator which is based on two coupled photonic crystal cavities. The high stability of the proposed device to manufacturing errors is demonstrated. It is shown that the proposed model allows the modulation to be implemented in the low-intensity region of the resonant mode. A compact optical modulator based on a photonic crystal waveguide is designed. The possibility of using the optical or electrical pumping is examined.

158-162

Authors: Egorov A.V., Kazanskiy N.L., SerafimovichP.G.

A two-fold way to increase the sensitivity of the optical sensor is proposed and numerically investigated. The sensor based on the coupled photonic crystal cavities is calculated as an illustration of the proposed approach. The correspondence between analytical and numerical modeling approach is demonstrated.

172-180

Authors: Kovalev A.A., Kotlyar V.V., Porfirev A.P., Kalinkina D.S.

We derive an analytical relationship for calculating the normalized orbital angular momentum (OAM) of the superposition of off-axis Bessel beams characterized by the same topological charge. This relationship enables generating nondiffractive beams with different intensity distributions but identical OAM. As a result of a complex shift of the Bessel beam, the transverse intensity distribution and OAM of the beam are also shown to change. We show that in the superposition of two or more complex-shifted Bessel beams, the OAM may remain unchanged, while the intensity distribution is changed. Numerical simulation is in good agreement with theory.

187-196

Authors: Khonina S.N., Degtyarev S.A., Porfirev A.P., Moiseev O.Yu., Poletaev S.D.

We perform a comparative numerical study of the formation of closely spaced focal spots in the focal plane with diffraction gratings and binary optical elements matched with the Hermite- Gaussian modes. It is shown that low-index modes provide the generation of good-quality focal spots and relative tolerance to chromatic dispersion. Experiments with pulsed and tunable lasers have shown that phase optical elements matched with TEM(1,0) and TEM(1,1) modes show promise for creation of arrays of closely spaced focal spots.

204-210

Authors: Bruk M.A., Zhikharev E.N., Streltsov D.R., Kalnov V.A., Spirin A.V., Rogozhin A.E.

We discuss new results concerning the mechanism, characteristics and application potentialities of a novel method that allows an image to be generated in some positive resists directly during exposure by an electron beam in vacuum. In particular, using the PMMA resist as an example, we show that this method is very convenient for obtaining micro- and nano-reliefs with a rounded cross-section profile. Examples are given of obtaining 3D-structures with good accuracy of image vertical size and low surface roughness. In the authors opinion, the data presented show, on the whole, that the suggested method has application potentialities for the manufacture of diffractive optical elements.

218-223

Authors: Skidanov R.V.,Blank V.A., Morozov A.A.

The possibility of using a diffraction lens as a simple imaging spectrometer was demonstrated. Spectral images for white, red and green LEDs were experimentally generated on the basis of a sequence of images obtained by scanning along the optical axis. A comparison of the obtained spectral distributions with the integrated spectra of the LEDs under study was conducted. The error was found to vary from 8 to 13%.

234-240

Authors: Kovartsev A.N.

In this paper we propose a new deterministic evolutionary algorithm for global optimization of Morse clusters. The algorithm has been proven to possess the polynomial efficiency due to the problem-specific heuristics applied. We illustrate the effectiveness of the approach by a set of test problems in structural Morse cluster optimization.

249-254

Authors: Bogdanov P.S.

The paper proves a number of statements that significantly reduce the complexity of proofs of the classification theorems for quasicanonical number systems in imaginary quadratic fields. Theorems on convergence of algorithms that implement the addition of algebraic integers in quasicanonical number systems are proved.

265-274

Authors: Vizilter Yu.V., Gorbatsevich V.S., Rubis A.Yu., Vygolov O.V.

Shape-based matching techniques should provide the matching of scene image fragments registered in various lighting, weather and season conditions or in different spectral bands. The most popular shape-to-shape matching technique is based on a mutual information approach. Another well-known approach is a morphological image-to-shape matching proposed by Pytiev. In this paper we propose a new image-to-shape matching technique based on heat kernels and diffusion maps. The corresponding Diffusion Morphology is proposed as a new generalization of Pytiev morphological scheme. The fast implementation of morphological diffusion filtering is described. An experimental comparison of the newly proposed and aforementioned image-to-shape and shape-to-shape matching techniques as applied to the TV and IR image matching problem is made.

281-286

Authors: Ivanov K.O.

A new hole-filling method for morphological image reconstruction is proposed in this article. The approach is based on a combination of methods of contour analysis and morphological image processing. For the hole parameters to be estimated, they are described analytically as contours. Then, parameters of the contours, namely the area or the length, are estimated, followed by the decision as to the filling of the contour-bounded hole.