Andrey S. Krylov

Efficient sampling strategy and refinement strategy for randomized circle detection

Circle detection is fundamental in pattern recognition and computer vision. The randomized approach has received much attention for its computational benefit when compared with the Hough transform. In this paper, a multiple-evidence-based sampling strategy is proposed to speed up the randomized approach. Next, an efficient refinement strategy is proposed to improve the accuracy. Based on different kinds of ten test images, experimental results demonstrate the computation-saving and accuracy effects when plugging the proposed strategies into three existing circle detection methods.

Fast hermite projection method

Fast Hermite projection scheme for image processing and analysis is introduced. It is based on an expansion of image intensity function into a Fourier series using full orthonormal system of Hermite functions instead of trigonometric basis. Hermite functions are the eigenfunctions of the Fourier transform and they are computationally localized both in frequency and spatial domains in the contrast to the trigonometric functions. The acceleration of this expansion procedure is based on Gauss-Hermite quadrature scheme simplified by the replacement of Hermite associated weights and Hermite polynomials by an array of associated constants. This array of associated constants depends on the values of Hermite functions. Image database retrieval and image foveation applications based on 2D fast Hermite projection method have been considered. The proposed acceleration algorithm can be also efficiently used in Hermite transform method.

Software package for determination of surface tension of liquid metals

Abstract The problems of the development of algorithms to process experimental results obtained by the sessile drop method are discussed. Algotithms are based on the numerical solution of the Young-Laplace equation and the regularization method for Dorsey formula. A software package for IBM PC AT has been developed. The results of calculations for droplets formed in a cup (liquid Fe) and on a plate (slag CaOB 2 O 3 ) are given.

Scale-space method of image ringing estimation

Suppression of ringing effect is a challenging problem. It is mainly caused by absence of effective methods of ringing artifact detection. In this paper we introduce a ringing estimation method based on scale-space analysis. The estimation shows good results for low-pass filtered test images and in adaptive image deringing.

Video frames reconstruction based on time-frequency analysis and Hermite projection method

A method for temporal analysis and reconstruction of video sequences based on the time-frequency analysis and Hermite projection method is proposed. The S-method-based time-frequency distribution is used to characterize stationarity within the sequence. Namely, a sequence of DCT coefficients along the time axes is used to create a frequency-modulated signal. The reconstruction of nonstationary sequences is done using the Hermite expansion coefficients. Here, a small number of Hermite coefficients can be used, which may provide significant savings for some video-based applications. The results are illustrated with video examples.

Thermodynamics of liquid Al–Ni alloys

Abstract A new high-temperature calorimeter was used to study the enthalpies of mixing of nickel-rich Al–Ni melts (mole fraction of Al

Gauss-laguerre keypoints extraction using fast hermite projection method

Keypoints detection and descriptors construction method based on multiscale Gauss-Laguerre circular harmonic functions expansions is considered. Its efficient acceleration procedure is introduced. Two acceleration ideas are used. The first idea is based on the interconnection between Gauss-Laguerre circular harmonic functions system and 2D Hermite functions system. The further acceleration is based on the original fast Hermite projection method. The comparison tests with SIFT algorithm were performed. The proposed method can be additionally enhanced and optimized. Nevertheless even preliminary investigation showed promising results.

Adaptive total variation deringing method for image interpolation

This paper presents a new adaptive post-processing algorithm for ringing artifact reduction after image interpolation (up sampling). The algorithm is based on the concept of total variation (TV) for ringing control. It uses known TV of the blocks of the low-resolution image. Conditional gradient, subgradient and projection subgradient methods for this algorithm are considered and analyzed. A test set of 181300 overlapping 11times11 blocks of real images was used for local algorithm optimization and analysis. Local conditional gradient method shows the best objective and subjective results.

Adaptive Image Deblurring with Ringing Control

The paper presents an adaptive image deblurring method with ringing control. Images are split in analogy with unsharp mask into low- and high-frequency components. Edges are sharpened in low-frequency domain using deconvolution with Total Variation constraint. High-frequency information is amplified using ringing level control.

Phase transition in liquid cesium near 590 K

New data on the adiabatic thermal coefficient of pressure (a.t.c.p.) of liquid cesium were obtained with a modernized apparatus. Anomalies in the a.t.c.p., density, viscosity and electrical resistivity, as well as the structure factor (SF) of Cs were determined. These anomalies point to the possibility of a second-order phase transition in liquid Cs near 590 K.