• Title/Summary/Keyword: normal operator

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Abnormal Crowd Behavior Detection Using Heuristic Search and Motion Awareness

  • Usman, Imran;Albesher, Abdulaziz A.
    • International Journal of Computer Science & Network Security
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    • v.21 no.4
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    • pp.131-139
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    • 2021
  • In current time, anomaly detection is the primary concern of the administrative authorities. Suspicious activity identification is shifting from a human operator to a machine-assisted monitoring in order to assist the human operator and react to an unexpected incident quickly. These automatic surveillance systems face many challenges due to the intrinsic complex characteristics of video sequences and foreground human motion patterns. In this paper, we propose a novel approach to detect anomalous human activity using a hybrid approach of statistical model and Genetic Programming. The feature-set of local motion patterns is generated by a statistical model from the video data in an unsupervised way. This features set is inserted to an enhanced Genetic Programming based classifier to classify normal and abnormal patterns. The experiments are performed using publicly available benchmark datasets under different real-life scenarios. Results show that the proposed methodology is capable to detect and locate the anomalous activity in the real time. The accuracy of the proposed scheme exceeds those of the existing state of the art in term of anomalous activity detection.

Performance Estimation of Tone Mapping for HDR Images (HDR이미지 톤 매핑 알고리즘의 성능 평가)

  • Lee, Yong-Hwan
    • Journal of the Semiconductor & Display Technology
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    • v.20 no.4
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    • pp.182-186
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    • 2021
  • Tone mapping operator is designed to reproduce visibility of real-world scenes such as HDR images on limited dynamic range display devices. This paper presents and implements compare and to estimate some tone mapping algorithms commonly used. The evaluation is performed by applying tone mapping operators on 7 HDR images, and by presenting the results with subjective estimation. Reinhard tone mapping algorithm is the best in the visual experimental results. The goal of this work is to discuss what is visible of high dynamic range on a normal display device and to determine to which better algorithm is. This work motivates us to make more progress through the new proposal of tone mapping operator on future work.

NORMAL WEIGHTED BERGMAN TYPE OPERATORS ON MIXED NORM SPACES OVER THE BALL IN ℂn

  • Avetisyan, Karen L.;Petrosyan, Albert I.
    • Journal of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.313-326
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    • 2018
  • The paper studies some new ${\mathbb{C}}^n$-generalizations of Bergman type operators introduced by Shields and Williams depending on a normal pair of weight functions. We find the values of parameter ${\beta}$ for which these operators are bounded on mixed norm spaces L(p, q, ${\beta}$) over the unit ball in ${\mathbb{C}}^n$. Moreover, these operators are bounded projections as well, and the images of L(p, q, ${\beta}$) under the projections are found.

Rational Approximation of Multiple Input Delay Systems Using the Hankel Singular Values Vectors (한켈특이치와 특이벡터를 이용한 복수 입력 시간지연 시스템의 유리근사화)

  • 황이철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.299-304
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    • 1996
  • This paper studies the rational approximation of multiple input delay systems using the Hankel singular values and vectors, which are the soultion of a transcendental equation. Rational approximatants are obtained from output normal realizations which are constructed by the Hankel singular values and vectors. Consequently, it is shown that rational approximants by output normal realization preserve intrinsic properties of time delay systems than Pade approximants.

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APPROXIMATING RANDOM COMMON FIXED POINT OF RANDOM SET-VALUED STRONGLY PSEUDO-CONTRACTIVE MAPPINGS

  • LI JUN;HUANG NAN JING
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.329-341
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    • 2005
  • In this paper, we introduce new random iterative sequences with errors approximating a unique random common fixed point for three random set-valued strongly pseudo-contractive mappings and show the convergence of the random iterative sequences with errors by using an approximation method in real uniformly smooth separable Banach spaces. As applications, we study the existence of random solutions for some kind of random nonlinear operator equations group in separable Hilbert spaces.

A NOTE ON A CLASS OF CONVOLUTION INTEGRAL EQUATIONS

  • LUO, MIN-JIE;RAINA, R.K.
    • Honam Mathematical Journal
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    • v.37 no.4
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    • pp.397-409
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    • 2015
  • This paper considers a class of new convolution integral equations whose kernels involve special functions such as the generalized Mittag-Leffler function and the extended Kummer hypergeometric function. Some basic properties of interconnection with the familiar Riemann-Liouville operators are obtained which are used in fiding the solution of the main convolution integral equation. Several consequences are deduced from the main result by incorporating certain extended forms of hypergeometric functions in our present investigation.

DISJOINT SUPERCYCLIC WEIGHTED COMPOSITION OPERATORS

  • Liang, Yu-Xia;Zhou, Ze-Hua
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.1137-1147
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    • 2018
  • In this paper, we discovered a sufficient condition ensuring the weighted composition operators $C_{{\omega}_1,{\varphi}_1},{\cdots},C_{{\omega}_N,{\varphi}_N}$ were disjoint supercyclic on $H({\Omega})$ endowed with the compact open topology. Besides, we provided a condition on inducing symbols to guarantee the disjoint supercyclicity of non-constant adjoint multipliers $M^*_{{\varphi}_1},M^*_{{\varphi}_2},{\cdots},M^*_{{\varphi}_N}$ on a Hilbert space ${\mathcal{H}}$.

THE HYPERINVARIANT SUBSPACE PROBLEM FOR QUASI-n-HYPONORMAL OPERATORS

  • Kim, An-Hyun;Kwon, Eun-Young
    • Communications of the Korean Mathematical Society
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    • v.22 no.3
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    • pp.383-389
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    • 2007
  • In this paper we examine the hyperinvariant subspace problem for quasi-n-hyponormal operators. The main result on this problem is as follows. If T = N + K is such that N is a quasi-n-hyponormal operator whose spectrum contains an exposed arc and K belongs to the Schatten p-ideal then T has a non-trivial hyperinvariant subspace.

NOTE ON COMMUTING TOEPLITZ OPERATORS ON THE PLURIHARMONIC BERGMAN SPACE

  • Choe, Boo-Rim;Nam, Kye-Sook
    • Journal of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.259-269
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    • 2006
  • We obtain a characterization of commuting Toeplitz operators with holomorphic symbols acting on the pluriharmonic Bergman space of the polydisk. We also obtain a characterization of normal Toeplitz operators with pluriharmonic symbols. In addition, some results for special types of semi-commutators are included.