Automatic facial expression tracking for 4D range scans

This paper presents a fully automatic approach of spatio-temporal facial expression tracking for 4D range scans without any manual interventions (such as specifying landmarks). The approach consists of three steps: rigid registration, facial model reconstruction, and facial expression tracking. A Scaling Iterative Closest Points (SICP) algorithm is introduced to compute the optimal rigid registration between a template facial model and a range scan with consideration of the scale problem. A deformable model, physically based on thin shells, is proposed to faithfully reconstruct the facial surface and texture from that range data. And then the reconstructed facial model is used to track facial expressions presented in a sequence of range scans by the deformable model

Обґрунтування параметрів зберігання напою кисломолочного дитячого харчування "Біолакт"

Changes in the quality indicators of sour-milk infant drink «Biolakt» characterized by high probiotic and immunomodulatory properties and low allergic effect that were made according to the improved technology and stored in sealed-off containers at temperature (4±2) ºС during 28 days have been studied: organoleptic properties of taste and odour, consistency and appearance; physical and chemical properties – titrated acidity, ºТ; active acidity, pH units; moisture retention property, %; microbiological properties – number of living cells of mixed cultures B. bifidum 1 + B. longum Ya3 + B. infantis 512, CFU/cm³; the most probable number of living cells of monocultures L. acidophilus La-5, CFU/cm³; presence of coli form bacteria in 0.3 cm³; presence of Salmonella in 50 cm3; biochemical properties – antioxidant activity, activity units; and maximum possible content of malondialdehyde at complete oxidation of the product ingredients, mg/100 g. It is proved that under indicated conditions in the course of 24 days the studied samples of target products possess high organoleptic and standardized for sour-milk infant drinks physical, chemical, biochemical and microbiological indicators and are, also, characterized by high content of probiotics: (0.43 – 8.60)∙109 and (0.25 – 1.10)∙109 CFU/cm3 of living cells of bifidus bacteria and lactobacilli, accordingly. It has been established that the limit storage period of sour-milk infant drink «Biolakt» produced according to the improved technology and stored at temperature (4±2) ºС should not exceed 12 days with due account of the safety margin for sour-milk infant drinks (provided they are kept in sealed-off containers). It has been proved that the target product formulas should include lactulose, polyunsaturated fatty acids omega-3 FT EU of «Fortitech» company (Denmark), vitamin complex FT 041081EU of «Fortitech» company (Denmark) and/or complex of mineral substances FT 042836EU of «Fortitech» company (Denmark).Досліджено зміну показників якості напоїв кисломолочних дитячого харчування «Біолакт» з підвищеними пробіотичними й імуномодулюючими властивостями та зниженим алергенним ефектом, вироблених за удосконаленою технологією, при зберіганні у герметичній тарі за температури (4±2) ºС протягом 28 діб: органолептичних – смаку та запаху, кольору, консистенції та зовнішнього вигляду; фізико-хімічних – титрованої кислотності, ºТ; активної кислотності, од. рН; вологоутримуючої здатності, %; мікробіологічних – кількості життєздатних клітин змішаних культур B. bifidum 1 + B. longum Я3 + B. infantis 512, КУО/см³; найбільш вірогідне число життєздатних клітин монокультур L. acidophilus La-5, КУО/см3; наявності бактерій групи кишкових паличок у 0,3 см³; наявності Salmonella у 50 см³; біохімічних – антиоксидантної активності, од. акт.; максимально можливого вмісту малонового діальдегіду при повному окисненні інгредієнтів продукту, мг/100 г. Показано, що при зазначених умовах протягом 24 діб досліджені зразки цільових продуктів мають високі органолептичні, нормовані для кисломолочних напоїв дитячого харчування фізико-хімічні, біохімічні та мікробіологічні, показники, а також характеризуються високим вмістом пробіотиків: (0,43 – 8,60)∙109 та (0,25 –1,10)∙109 КУО/см3 життєздатних клітин біфідобактерій та лактобацил, відповідно. Встановлено, що граничний термін зберігання напоїв кисломолочних дитячого харчування «Біолакт», вироблених за удосконаленою технологією, за температури (4±2) °С не повинен перевищувати 12 діб із врахуванням коефіцієнту запасу для кисломолочних продуктів дитячого харчування (за умови зберігання у герметичній тарі). Доведено, що рецептури цільових продуктів повинні включати лактулозу, поліненасичені жирні кислоти омега-3 FT EU фірми «Fortitech» (Данія), комплекс вітамінів FT 041081EU фірми «Fortitech» (Данія) та/або комплекс мінеральних речовин FT 042836EU фірми «Fortitech» (Данія)

Observation of enhanced optical spring damping in a macroscopic mechanical resonator and application for parametric instability control in advanced gravitational-wave detectors

We show that optical spring damping in an optomechanical resonator can be enhanced by injecting a phase delay in the laser frequency-locking servo to rotate the real and imaginary components of the optical spring constant. This enhances damping at the expense of optical rigidity. We demonstrate enhanced parametric damping which reduces the Q factor of a 0.1-kg-scale resonator from 1.3×10^5 to 6.5×10^3. By using this technique adequate optical spring damping can be obtained to damp parametric instability predicted for advanced laser interferometer gravitational-wave detectors

Development of gas market of Ukraine

The article brings up an issue of further development and reformation of the Ukrainian gas market and the cooperation of the National Joint-Stock Company «Naftogaz of Ukraine» with the international financial institutions and global gas companies

An efficient perturbation theory of density matrix renormalization group

Density matrix renormalization group (DMRG) is one of the most powerful numerical methods available for many-body systems. In this work, we develop a perturbation theory of DMRG (PT-DMRG) to largely increase its accuracy in an extremely simple and efficient way. By using the canonical matrix product state (MPS) representation for the ground state of the considered system, a set of orthogonal basis functions $\left\lbrace | \psi_i \rangle \right\rbrace$ is introduced to describe the perturbations to the ground state obtained by the conventional DMRG. The Schmidt numbers of the MPS that are beyond the bond dimension cut-off are used to define such perturbation terms. The perturbed Hamiltonian is then defined as $\tilde{H}_{ij}= \langle \psi_i | \hat{H} | \psi_j \rangle$; its ground state permits to calculate physical observables with a considerably improved accuracy as compared to the original DMRG results. We benchmark the second-order perturbation theory with the help of one-dimensional Ising chain in a transverse field and the Heisenberg chain, where the precision of DMRG is shown to be improved $\rm O(10)$ times. Furthermore, for moderate length $L$ the errors of DMRG and PT-DMRG both scale linearly with $L^{-1}$. The linear relation between the dimension cut-off of DMRG and that of PT-DMRG with the same precision shows a considerable improvement of efficiency, especially for large dimension cut-off's. In thermodynamic limit we show that the errors of PT-DMRG scale with $\sqrt{L^{-1}}$. Our work suggests an effective way to define the tangent space of the ground state MPS, which may shed lights on the properties beyond the ground state. Such second-order PT-DMRG can be readily generalized to higher orders, as well as applied to the models in higher dimensions

Fluxon Dynamics of a Long Josephson Junction with Two-gap Superconductors

We investigate the phase dynamics of a long Josephson junction (LJJ) with two-gap superconductors. In this junction, two channels for tunneling between the adjacent superconductor (S) layers as well as one interband channel within each S layer are available for a Cooper pair. Due to the interplay between the conventional and interband Josephson effects, the LJJ can exhibit unusual phase dynamics. Accounting for excitation of a stable 2$\pi$-phase texture arising from the interband Josephson effect, we find that the critical current between the S layers may become both spatially and temporally modulated. The spatial critical current modulation behaves as either a potential well or barrier, depending on the symmetry of superconducting order parameter, and modifies the Josephson vortex trajectories. We find that these changes in phase dynamics result in emission of electromagnetic waves as the Josephson vortex passes through the region of the 2$\pi$-phase texture. We discuss the effects of this radiation emission on the current-voltage characteristics of the junction.Comment: 14 pages, 6 figure