Academic literature on the topic 'LAPLACIAN MATTE'

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Journal articles on the topic "LAPLACIAN MATTE"

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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4

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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5

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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6

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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