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Journal articles on the topic 'LAPLACIAN MATTE'

Author: Grafiati

Published: 11 September 2023

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1

TAN, GUANGHUA, JUN QI, CHUNMING GAO, JIN CHEN, and LIYUAN ZHUO. "SALIENCY-BASED UNSUPERVISED IMAGE MATTING." International Journal of Pattern Recognition and Artificial Intelligence 28, no. 04 (2014): 1454001. http://dx.doi.org/10.1142/s0218001414540019.

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Spectral matting is the state-of-the-art matting method and can well solve the highly under-conditioned matte problem without manual intervention. However, it suffers from huge computation cost and inaccurate alpha matte. This paper presents a modified spectral matting method which combines saliency detection algorithm to get a higher accuracy of alpha matte with less computational cost. First, the saliency detection algorithm is used to detect general locations of foreground objects. For saliency detection method, original two-stage scheme is replaced by feedback scheme to get a more suitable

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2

Ju, Tingting, Meifeng Dai, Changxi Dai, Yu Sun, Xiangmei Song, and Weiyi Su. "Applications of Laplacian spectrum for the vertex–vertex graph." Modern Physics Letters B 33, no. 17 (2019): 1950184. http://dx.doi.org/10.1142/s0217984919501847.

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Complex networks have attracted a great deal of attention from scientific communities, and have been proven as a useful tool to characterize the topologies and dynamics of real and human-made complex systems. Laplacian spectrum of the considered networks plays an essential role in their network properties, which have a wide range of applications in chemistry and others. Firstly, we define one vertex–vertex graph. Then, we deduce the recursive relationship of its eigenvalues at two successive generations of the normalized Laplacian matrix, and we obtain the Laplacian spectrum for vertex–vertex

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3

DING, QINGYAN, WEIGANG SUN, and FANGYUE CHEN. "APPLICATIONS OF LAPLACIAN SPECTRA ON A 3-PRISM GRAPH." Modern Physics Letters B 28, no. 02 (2014): 1450009. http://dx.doi.org/10.1142/s0217984914500092.

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In this paper, we calculate the Laplacian spectra of a 3-prism graph and apply them. This graph is both planar and polyhedral, and belongs to the generalized Petersen graph. Using the regular structures of this graph, we obtain the recurrent relationships for Laplacian matrix between this graph and its initial state — a triangle — and further derive the corresponding relationships for Laplacian eigenvalues between them. By these relationships, we obtain the analytical expressions for the product and the sum of the reciprocals of all nonzero Laplacian eigenvalues. Finally we apply these express

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Dai, Meifeng, Tingting Ju, Yongbo Hou, Jianwei Chang, Yu Sun, and Weiyi Su. "Coherence analysis of a family of weighted star-composed networks." International Journal of Modern Physics B 33, no. 23 (2019): 1950264. http://dx.doi.org/10.1142/s0217979219502643.

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Recently, the study of many kinds of weighted networks has received the attention of researchers in the scientific community. In this paper, first, a class of weighted star-composed networks with a weight factor is introduced. We focus on the network consistency in linear dynamical system for a class of weighted star-composed networks. The network consistency can be characterized as network coherence by using the sum of reciprocals of all nonzero Laplacian eigenvalues, which can be obtained by using the relationship of Laplacian eigenvalues at two successive generations. Remarkably, the Laplac

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KARAMANOS, K., S. I. MISTAKIDIS, T. J. MASSART, and I. S. MISTAKIDIS. "ENTROPY PRODUCTION OF ENTIRELY DIFFUSIONAL LAPLACIAN TRANSFER AND THE POSSIBLE ROLE OF FRAGMENTATION OF THE BOUNDARIES." Fractals 23, no. 03 (2015): 1550026. http://dx.doi.org/10.1142/s0218348x15500267.

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The entropy production and the variational functional of a Laplacian diffusional field around the first four fractal iterations of a linear self-similar tree (von Koch curve) is studied analytically and detailed predictions are stated. In a next stage, these predictions are confronted with results from numerical resolution of the Laplace equation by means of Finite Elements computations. After a brief review of the existing results, the range of distances near the geometric irregularity, the so-called "Near Field", a situation never studied in the past, is treated exhaustively. We notice here

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He, Jiaojiao, Meifeng Dai, Yue Zong, Jiahui Zou, Yu Sun, and Weiyi Su. "Coherence analysis of a class of weighted tree-like polymer networks." Modern Physics Letters B 32, no. 05 (2018): 1850064. http://dx.doi.org/10.1142/s0217984918500641.

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Complex networks have elicited considerable attention from scientific communities. This paper investigates consensus dynamics in a linear dynamical system with additive stochastic disturbances, which is characterized as network coherence by the Laplacian spectrum. Firstly, we introduce a class of weighted tree-like polymer networks with the weight factor. Then, we deduce the recursive relationship of the eigenvalues of Laplacian matrix at two successive generations. Finally, we calculate the first- and second-order network coherence quantifying as the sum and square sum of reciprocals of all n

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7

Dai, Changxi, Meifeng Dai, Tingting Ju, Xiangmei Song, Yu Sun, and Weiyi Su. "Eigentime identity of the weighted (m,n)-flower networks." International Journal of Modern Physics B 34, no. 18 (2020): 2050159. http://dx.doi.org/10.1142/s0217979220501593.

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The eigentime identity for random walks on the weighted networks is the expected time for a walker going from a node to another node. Eigentime identity can be studied by the sum of reciprocals of all nonzero Laplacian eigenvalues on the weighted networks. In this paper, we study the weighted [Formula: see text]-flower networks with the weight factor [Formula: see text]. We divide the set of the nonzero Laplacian eigenvalues into three subsets according to the obtained characteristic polynomial. Then we obtain the analytic expression of the eigentime identity [Formula: see text] of the weighte

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8

Abanov, Ar, M. Mineev-Weinstein, and A. Zabrodin. "Self-similarity in Laplacian Growth." Physica D: Nonlinear Phenomena 235, no. 1-2 (2007): 62–71. http://dx.doi.org/10.1016/j.physd.2007.04.012.

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9

Alekseev, Oleg. "Martingales of stochastic Laplacian growth." Physica D: Nonlinear Phenomena 412 (November 2020): 132629. http://dx.doi.org/10.1016/j.physd.2020.132629.

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10

Liu, Qun. "Spectral analysis for weighted iterated pentagonal graphs and its applications." Modern Physics Letters B 34, no. 28 (2020): 2050308. http://dx.doi.org/10.1142/s021798492050308x.

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Deterministic weighted networks have been widely used to model real-world complex systems. In this paper, we study the weighted iterated pentagonal networks. From the construction of the network, we derive recursive relations of all eigenvalues and their multiplicities of its normalized Laplacian matrix from the two successive generations of the weighted iterated pentagonal networks. As applications of spectra of the normalized Laplacian matrix, we study the Kemeny’s constant, the multiplicative degree-Kirchhoff index, and the number of weighted spanning trees and derive their exact closed-for

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11

Ma, Yue, Zhulou Cao, and Xingqin Qi. "Quasi-Laplacian centrality: A new vertex centrality measurement based on Quasi-Laplacian energy of networks." Physica A: Statistical Mechanics and its Applications 527 (August 2019): 121130. http://dx.doi.org/10.1016/j.physa.2019.121130.

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12

Liu, Jia-Bao, Jing Zhao, and Zheng-Qun Cai. "On the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks." Physica A: Statistical Mechanics and its Applications 540 (February 2020): 123073. http://dx.doi.org/10.1016/j.physa.2019.123073.

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13

Priebe, Carey E., Youngser Park, Joshua T. Vogelstein, et al. "On a two-truths phenomenon in spectral graph clustering." Proceedings of the National Academy of Sciences 116, no. 13 (2019): 5995–6000. http://dx.doi.org/10.1073/pnas.1814462116.

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Clustering is concerned with coherently grouping observations without any explicit concept of true groupings. Spectral graph clustering—clustering the vertices of a graph based on their spectral embedding—is commonly approached viaK-means (or, more generally, Gaussian mixture model) clustering composed with either Laplacian spectral embedding (LSE) or adjacency spectral embedding (ASE). Recent theoretical results provide deeper understanding of the problem and solutions and lead us to a “two-truths” LSE vs. ASE spectral graph clustering phenomenon convincingly illustrated here via a diffusion

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14

Lagacé, Jean. "Eigenvalue Optimisation on Flat Tori and Lattice Points in Anisotropically Expanding Domains." Canadian Journal of Mathematics 72, no. 4 (2019): 967–87. http://dx.doi.org/10.4153/s0008414x19000130.

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AbstractThis paper is concerned with the maximisation of the $k$-th eigenvalue of the Laplacian amongst flat tori of unit volume in dimension $d$ as $k$ goes to infinity. We show that in any dimension maximisers exist for any given $k$, but that any sequence of maximisers degenerates as $k$ goes to infinity when the dimension is at most 10. Furthermore, we obtain specific upper and lower bounds for the injectivity radius of any sequence of maximisers. We also prove that flat Klein bottles maximising the $k$-th eigenvalue of the Laplacian exhibit the same behaviour. These results contrast with

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15

Alban-Chacón, Francisco E., Erick A. Lamilla-Rubio, and Manuel S. Alvarez-Alvarado. "A Novel Physical Mechanism to Model Brownian Yet Non-Gaussian Diffusion: Theory and Application." Materials 15, no. 17 (2022): 5808. http://dx.doi.org/10.3390/ma15175808.

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In the last years, a few experiments in the fields of biological and soft matter physics in colloidal suspensions have reported “normal diffusion” with a Laplacian probability distribution in the particle’s displacements (i.e., Brownian yet non-Gaussian diffusion). To model this behavior, different stochastic and microscopic models have been proposed, with the former introducing new random elements that incorporate our lack of information about the media and the latter describing a limited number of interesting physical scenarios. This incentivizes the search of a more thorough understanding o

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16

Abanov, Ar, M. Mineev-Weinstein, and A. Zabrodin. "Multi-cut solutions of Laplacian growth." Physica D: Nonlinear Phenomena 238, no. 17 (2009): 1787–96. http://dx.doi.org/10.1016/j.physd.2009.06.001.

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17

Mahanta, Abhigyan, Idweep Jyoti Gogoi, and A. Bharali. "A note on the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks." Physica A: Statistical Mechanics and its Applications 581 (November 2021): 126241. http://dx.doi.org/10.1016/j.physa.2021.126241.

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18

SUZUKI, Yasuhiro, Shishir PUROHIT, Satoshi OHDACHI, Satoshi YAMAMOTO, and Kazunobu NAGASAKI. "New tomographic reconstruction technique based on Laplacian eigenfunction." Plasma Science and Technology 22, no. 10 (2020): 102002. http://dx.doi.org/10.1088/2058-6272/aba185.

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19

Ieta, Adrian, Zdenek Kucerovsky, and William D. Greason. "Laplacian approximation of Warburg distribution." Journal of Electrostatics 63, no. 2 (2005): 143–54. http://dx.doi.org/10.1016/j.elstat.2004.10.001.

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20

BEJANCU, AUREL. "A NEW APPROACH FOR SPACE-TIME-MATTER THEORY." International Journal of Geometric Methods in Modern Physics 10, no. 04 (2013): 1350004. http://dx.doi.org/10.1142/s0219887813500047.

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This is the first paper in a series of three papers on a new approach for space-time-matter (STM) theory. The main purpose of this approach is to replace the Levi-Civita connection on the space-time from the classical Kaluza–Klein theory by what we call the Riemannian horizontal connection on the general Kaluza–Klein space. This is done by a development of a 4D tensor calculus whose geometrical objects live in a 5D space. The 4D tensor calculus and the Riemannian horizontal connection enable us to define in a 5D space some 4D differential operators: horizontal differential, horizontal gradient

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21

KALINAY, PAVOL, LADISLAV ŠAMAJ, and IGOR TRAVĚNEC. "SURVIVAL PROBABILITY (HEAT CONTENT) AND THE LOWEST EIGENVALUE OF DIRICHLET LAPLACIAN." International Journal of Modern Physics B 25, no. 15 (2011): 1993–2007. http://dx.doi.org/10.1142/s0217979211101004.

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We study the survival probability of a particle diffusing in a two-dimensional domain, bounded by a smooth absorbing boundary. The short-time expansion of this quantity depends on the geometric characteristics of the boundary, whilst its long-time asymptotics is governed by the lowest eigenvalue of the Dirichlet Laplacian defined on the domain. We present a simple algorithm for calculation of the short-time expansion for an arbitrary "star-shaped" domain. The coefficients are expressed in terms of powers of boundary curvature, integrated around the circumference of the domain. Based on this ex

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22

Gazzina, Stefano, Mario Grassi, Enrico Premi, et al. "Education modulates brain maintenance in presymptomatic frontotemporal dementia." Journal of Neurology, Neurosurgery & Psychiatry 90, no. 10 (2019): 1124–30. http://dx.doi.org/10.1136/jnnp-2019-320439.

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ObjectiveCognitively engaging lifestyles have been associated with reduced risk of conversion to dementia. Multiple mechanisms have been advocated, including increased brain volumes (ie, brain reserve) and reduced disease progression (ie, brain maintenance). In cross-sectional studies of presymptomatic frontotemporal dementia (FTD), higher education has been related to increased grey matter volume. Here, we examine the effect of education on grey matter loss over time.MethodsTwo-hundred twenty-nine subjects at-risk of carrying a pathogenic mutation leading to FTD underwent longitudinal cogniti

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23

Sokolov, Arseny A., Peter Zeidman, Adeel Razi, et al. "Asymmetric high-order anatomical brain connectivity sculpts effective connectivity." Network Neuroscience 4, no. 3 (2020): 871–90. http://dx.doi.org/10.1162/netn_a_00150.

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Bridging the gap between symmetric, direct white matter brain connectivity and neural dynamics that are often asymmetric and polysynaptic may offer insights into brain architecture, but this remains an unresolved challenge in neuroscience. Here, we used the graph Laplacian matrix to simulate symmetric and asymmetric high-order diffusion processes akin to particles spreading through white matter pathways. The simulated indirect structural connectivity outperformed direct as well as absent anatomical information in sculpting effective connectivity, a measure of causal and directed brain dynamics

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24

MALIK, R. P. "TOPOLOGICAL FEATURES IN NON-ABELIAN GAUGE THEORY." Modern Physics Letters A 14, no. 28 (1999): 1937–49. http://dx.doi.org/10.1142/s0217732399002017.

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We discuss the BRST cohomology and exhibit a connection between the Hodge decomposition theorem and the topological properties of a two-dimensional free non-Abelian gauge theory (having no interaction with matter fields). The topological nature of this theory is encoded in the vanishing of the Laplacian operator when equations of motion are exploited. We obtain two sets of topological invariants with respect to BRST and co-BRST charges on the two-dimensional compact manifold and show that the Lagrangian density of the theory can be expressed as the sum of terms that are BRST and co-BRST invari

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25

Krichever, I., M. Mineev-Weinstein, P. Wiegmann, and A. Zabrodin. "Laplacian growth and Whitham equations of soliton theory." Physica D: Nonlinear Phenomena 198, no. 1-2 (2004): 1–28. http://dx.doi.org/10.1016/j.physd.2004.06.003.

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26

Butturini, A., and E. Ejarque. "Technical Note: Dissolved organic matter fluorescence – a finite mixture approach to deconvolve excitation-emission matrices." Biogeosciences Discussions 10, no. 3 (2013): 4711–32. http://dx.doi.org/10.5194/bgd-10-4711-2013.

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Abstract. The analysis of the shape of excitation-emission matrices (EEMs) is a relevant tool for exploring the origin, transport and fate of dissolved organic matter (DOM) in aquatic ecosystems. Within this context, the decomposition of EEMs is acquiring a notable relevance. A simple mathematical algorithm that automatically deconvolves single EEM is described, creating new possibilities for the comparison of DOM fluorescence properties and EEMs that are very different from each other. A mixture model approach is adopted to decompose complex surfaces into sub-peaks. The laplacian operator and

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27

Jalan, Sarika, and Jayendra N. Bandyopadhyay. "Random matrix analysis of network Laplacians." Physica A: Statistical Mechanics and its Applications 387, no. 2-3 (2008): 667–74. http://dx.doi.org/10.1016/j.physa.2007.09.026.

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28

Butturini, A., and E. Ejarque. "Technical Note: Dissolved organic matter fluorescence – a finite mixture approach to deconvolve excitation-emission matrices." Biogeosciences 10, no. 9 (2013): 5875–87. http://dx.doi.org/10.5194/bg-10-5875-2013.

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Abstract. The analysis of the shape of excitation-emission matrices (EEMs) is a relevant tool for exploring the origin, transport and fate of dissolved organic matter (DOM) in aquatic ecosystems. Within this context, the decomposition of EEMs is acquiring a notable relevance. A simple mathematical algorithm that automatically deconvolves individual EEMs is described, creating new possibilities for the comparison of DOM fluorescence properties and EEMs that are very different from each other. A mixture model approach is adopted to decompose complex surfaces into sub-peaks. The laplacian operato

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29

Cafiero, Raffaele, Alessandro Vespignani, Stefano Zapperi, and Luciano Pietronero. "Universality and Scale Invariant Dynamics in Laplacian Fractal Growth." International Journal of Modern Physics B 11, no. 30 (1997): 3595–619. http://dx.doi.org/10.1142/s0217979297001805.

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The individuation of the scale invariant dynamics in Laplacian fractal growth processes, like diffusion-limited aggregation (DLA), is an important problem whose solution would clarify some crucial issues concerning the origin of fractal properties and the identification of universality classes for such models. Here, we develop a real space renormalization group scheme to study the dynamic evolution of DLA in a restricted space of relevant parameters. In particular, we investigate the effect of a sticking probability P s and an effective noise reduction parameter S. The renormalization equation

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30

Tabbone, S. A., L. Alonso, and D. Ziou. "Behavior of the Laplacian of Gaussian Extrema." Journal of Mathematical Imaging and Vision 23, no. 1 (2005): 107–28. http://dx.doi.org/10.1007/s10851-005-4970-7.

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31

Kostadinova, E. G., R. Banka, J. L. Padgett, C. D. Liaw, L. S. Matthews, and T. W. Hyde. "Fractional Laplacian spectral approach to turbulence in a dusty plasma monolayer." Physics of Plasmas 28, no. 7 (2021): 073705. http://dx.doi.org/10.1063/5.0047649.

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32

Dai, Meifeng, Junjie Shen, Lingfei Dai, Tingting Ju, Yongbo Hou, and Weiyi Su. "Generalized adjacency and Laplacian spectra of the weighted corona graphs." Physica A: Statistical Mechanics and its Applications 528 (August 2019): 121285. http://dx.doi.org/10.1016/j.physa.2019.121285.

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33

Ma, Tinghuai, Lu Li, Sai Ji, et al. "Optimized Laplacian image sharpening algorithm based on graphic processing unit." Physica A: Statistical Mechanics and its Applications 416 (December 2014): 400–410. http://dx.doi.org/10.1016/j.physa.2014.09.026.

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34

SUZUKI, Kosuke, Sadayoshi MURAKAMI, Satoshi OHDACHI, et al. "MHD Equilibrium Reconstruction Using the Visible Light Tomographic Method with Laplacian Eigenfunction." Plasma and Fusion Research 16 (July 5, 2021): 2402090. http://dx.doi.org/10.1585/pfr.16.2402090.

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35

Chang, Joon-Hyuk. "Complex laplacian probability density function for noisy speech enhancement." IEICE Electronics Express 4, no. 8 (2007): 245–50. http://dx.doi.org/10.1587/elex.4.245.

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36

Zhang, Zhongzhi, Shuigeng Zhou, Yi Qi, and Jihong Guan. "Topologies and Laplacian spectra of a deterministic uniform recursive tree." European Physical Journal B 63, no. 4 (2008): 507–13. http://dx.doi.org/10.1140/epjb/e2008-00262-2.

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37

Zheng, Jinde, Junsheng Cheng, and Yu Yang. "Multiscale Permutation Entropy Based Rolling Bearing Fault Diagnosis." Shock and Vibration 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/154291.

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A new rolling bearing fault diagnosis approach based on multiscale permutation entropy (MPE), Laplacian score (LS), and support vector machines (SVMs) is proposed in this paper. Permutation entropy (PE) was recently proposed and defined to measure the randomicity and detect dynamical changes of time series. However, for the complexity of mechanical systems, the randomicity and dynamic changes of the vibration signal will exist in different scales. Thus, the definition of MPE is introduced and employed to extract the nonlinear fault characteristics from the bearing vibration signal in different

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38

El-Nabulsi, Rami Ahmad, and Waranont Anukool. "Casimir effect associated with fractional laplacian and fractal dimensions." Physica E: Low-dimensional Systems and Nanostructures 146 (January 2023): 115552. http://dx.doi.org/10.1016/j.physe.2022.115552.

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39

Weislogel, M. M., Y. Chen, and D. Bolleddula. "A better nondimensionalization scheme for slender laminar flows: The Laplacian operator scaling method." Physics of Fluids 20, no. 9 (2008): 093602. http://dx.doi.org/10.1063/1.2973900.

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40

Bouziane, A., C. Taplamacioglu, K. Hidaka, and R. T. Waters. "Non-Laplacian ion trajectories in mutually interacting corona discharges." Journal of Physics D: Applied Physics 30, no. 13 (1997): 1913–21. http://dx.doi.org/10.1088/0022-3727/30/13/013.

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41

Gandolfi, Giovanni, Balakrishna S. Haridasu, Stefano Liberati, and Andrea Lapi. "Looking for Traces of Nonminimally Coupled Dark Matter in the X-COP Galaxy Clusters Sample." Astrophysical Journal 952, no. 2 (2023): 105. http://dx.doi.org/10.3847/1538-4357/acd755.

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Abstract We look for possible evidence of a nonminimal coupling (NMC) between dark matter (DM) and gravity using data from the X-COP compilation of galaxy clusters. We consider a theoretically motivated NMC that may dynamically arise from the collective behavior of the coarse-grained DM field (e.g., via Bose–Einstein condensation) with averaging/coherence length L NMC. In the Newtonian limit, the NMC modifies the Poisson equation by a term L NMC 2 ∇ 2 ρ proportional to the Laplacian of the DM density itself. We show that this term, when acting as a perturbation over the standard Navarro–Frenk–

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42

DING, J. R., F. WANG, and B. X. LIU. "LOCAL SCALING PROPERTIES OF FRACTALS OBSERVED IN Ni-Zr ALLOY FILMS." Modern Physics Letters B 04, no. 17 (1990): 1111–18. http://dx.doi.org/10.1142/s0217984990001409.

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Wavelet transform was performed based on the fractals observed in Ni-Zr alloy films during ion irradiation. The mass distribution measure and the Laplacian potential gradient measure were used to study the local scaling properties of the ion-induced fractals. The strength of singularities at each point was calculated according to the wavelet transform. The densities of the strength of singularities were also deduced and compared with the f-α spectra yielded by multifractal analysis. The results showed that the ion-induced fractals had a wide range of strength of singularities.

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43

Wang, Guangbin, Ying Lv, Tengqiang Wang, Xiaohui Wang, and Huanke Cheng. "Mass Laplacian Discriminant Analysis and Its Application in Gear Fault Diagnosis." Shock and Vibration 2020 (August 3, 2020): 1–13. http://dx.doi.org/10.1155/2020/8826419.

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Fault diagnosis is essentially the identification of multiple fault modes. How to extract sensitive features and improve diagnostic accuracy is the key to fault diagnosis. In this paper, a new manifold learning method (Mass Laplacian Discriminant Analysis, MLDA) is proposed. Firstly, it is assumed that each data point in the space is a point with mass, and the mass is defined as the number of data points in a certain area. Then, the idea of universal gravitation is introduced to calculate the virtual universal gravitation between data points. Based on the Laplace eigenmaps algorithm, the gravi

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Vandembroucq, Damien, and Stéphane Roux. "Laplacian transfer across a rough interface: numerical resolution in the conformal plane." Physica A: Statistical Mechanics and its Applications 357, no. 1 (2005): 97–102. http://dx.doi.org/10.1016/j.physa.2005.05.068.

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45

Zhan, Choujun, Guanrong Chen, and Lam F. Yeung. "On the distributions of Laplacian eigenvalues versus node degrees in complex networks." Physica A: Statistical Mechanics and its Applications 389, no. 8 (2010): 1779–88. http://dx.doi.org/10.1016/j.physa.2009.12.005.

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46

Huang, Wei, Hongpo Fu, Yu Li, and Weiguo Zhang. "A Gaussian-multivariate Laplacian mixture distribution based robust cubature Kalman filter." Measurement 213 (May 2023): 112732. http://dx.doi.org/10.1016/j.measurement.2023.112732.

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47

ZHANG, CHI, YUXIN LIU, LIN YUAN, and XIAOXU HOU. "THE ESTIMATION OF RESPIRATION RATE BASED ON THE AMPLIFICATION OF RESPIRATION MOTION IN VIDEO." Journal of Mechanics in Medicine and Biology 21, no. 05 (2021): 2140011. http://dx.doi.org/10.1142/s021951942140011x.

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Standard instrument for the clinical diagnosis of sleep apnea is large and based on invasive method, which is not comfortable and not suitable for daily inspection. A video-based measurement method for the respiration rate (RR) is therefore proposed, which is meaningful to the home diagnosis of sleep apnea. We proposed a novel method for the visualization and calculation of RR from a video containing a sleeping person. The video was decomposed by spatio-temporal Laplacian pyramid method into multiresolution image sequences, which were filtered by an infinite-impulse-response bandpass filter to

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48

Matignon, D. "Diffusive representations for fractional Laplacian: systems theory framework and numerical issues." Physica Scripta T136 (October 2009): 014009. http://dx.doi.org/10.1088/0031-8949/2009/t136/014009.

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49

Ratcliffe, C. P. "DAMAGE DETECTION USING A MODIFIED LAPLACIAN OPERATOR ON MODE SHAPE DATA." Journal of Sound and Vibration 204, no. 3 (1997): 505–17. http://dx.doi.org/10.1006/jsvi.1997.0961.

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Li, Xuequn, Shuming Zhou, Guanqin Lian, Gaolin Chen, and Jiafei Liu. "Heterogeneity of social network based on degree sequence and community." International Journal of Modern Physics B 32, no. 30 (2018): 1850331. http://dx.doi.org/10.1142/s0217979218503319.

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Abstract:

As we know, the scale-free property of networks implies that there are a great deal of nodes with low degree and a few with high degree in networks. In this paper, we mainly stick to the analysis of the heterogeneity of social networks. Heterogeneity measure of degree sequence based on Laplacian centrality (HLC) and degree ratio (HDR) and local neighborhood (HLN) are presented. Furthermore, heterogeneities of community based on the size, edge abundant degree and density of community are explored, respectively. The heterogeneity measures of community are empirically analyzed in the real-world n

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