• 제목/요약/키워드: invariant harmonic

검색결과 38건 처리시간 0.026초

주차장 자동차번호 인식 시스템에 관한 연구 (A Study of Car Plate Recognition System on The Park)

  • 신강호
    • 한국컴퓨터정보학회논문지
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    • 제8권4호
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    • pp.87-91
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    • 2003
  • 본 논문에서는 현재 주차장에서 사용되는 입출 차량의 관리를 정기권 카드나 티켓발행기와 병행하여 사용될 수 있는 자동차 번호 인식 시스템을 개발하였다. 주차장은 차량의 흐름을 원활하고 신속하게 처리해야 하기 때문에 많은 자동차 번호 인식시스템을 도입했으나 운영 면에서 여러 가지 문제점을 가지고 있었다. 본 논문에서는 이러한 단점을 보완하기 위하여 기존의 시스템을 바탕으로 유동적인 시스템을 개발하였다. 자동차 번호 인식시스템은 주차장에 설치될 경우 99%의 성능을 가져야 하지만 날씨의 변화와 계절이 변동함에 따라 많은 영향을 받고 있다. 따라서 본 논문에서는 4계절과 날씨에 민감함을 고려하여 차량번호판 영역을 히스토그램 모폴로지를 사용하여 번호판 영역을 추출하고 신경망을 사용하여 숫자만을 인식하는 시스템을 개발하였다.

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ON HARMONICITY IN A DISC AND n-HARMONICITY

  • Lee, Jae-Sung
    • 대한수학회보
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    • 제47권4호
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    • pp.815-823
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    • 2010
  • Let ${\tau}\;{\neq}\;\delta_0$ be either a power bounded radial measure with compact support on the unit disc D with $\tau(D)\;=\;1$ such that there is a $\delta$ > 0 so that ${\mid}\hat{\tau}(s){\mid}\;{\neq}\;1$ for every $s\;{\in}\;\Sigma(\delta)$ \ {0,1}, or just a radial probability measure on D. Here, we provide a decomposition of the set X = {$h\;{\in}\;L^{\infty}(D)\;{\mid}\;lim_{n{\rightarrow}{\infty}}\;h\;*\;\tau^n$ exists}. Let $\tau_1$, ..., $\tau_n$ be measures on D with above mentioned properties. Here, we prove that if $f\;{in}\;L^{\infty}(D^n)$ satisfies an invariant volume mean value property with respect to $\tau_1$, ..., $\tau_n$, then f is n-harmonic.

REMARKS ON LEVI HARMONICITY OF CONTACT SEMI-RIEMANNIAN MANIFOLDS

  • Perrone, Domenico
    • 대한수학회지
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    • 제51권5호
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    • pp.881-895
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    • 2014
  • In a recent paper [10] we introduced the notion of Levi harmonic map f from an almost contact semi-Riemannian manifold (M, ${\varphi}$, ${\xi}$, ${\eta}$, g) into a semi-Riemannian manifold $M^{\prime}$. In particular, we compute the tension field ${\tau}_H(f)$ for a CR map f between two almost contact semi-Riemannian manifolds satisfying the so-called ${\varphi}$-condition, where $H=Ker({\eta})$ is the Levi distribution. In the present paper we show that the condition (A) of Rawnsley [17] is related to the ${\varphi}$-condition. Then, we compute the tension field ${\tau}_H(f)$ for a CR map between two arbitrary almost contact semi-Riemannian manifolds, and we study the concept of Levi pluriharmonicity. Moreover, we study the harmonicity on quasicosymplectic manifolds.

Dynamic Characterization of Noise and Vibration Transmission Paths in Linear Cyclic Systems (I)-Theory-

  • Kim, Han-Jun;Cho, Young-Man
    • Journal of Mechanical Science and Technology
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    • 제14권10호
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    • pp.1051-1060
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    • 2000
  • Linear cyclic systems (LCS's) are a class of systems whose dynamic behavior changes cyclically. Such cyclic behavior is ubiquitous in systems with fundamentally repetitive motions (e. g. all rotating machinery). Yet, the knowledge of the noise and vibration transmission paths in LCS's is quite limited due to the time-varying nature of their dynamics. The first part of this two-part paper derives a generic expression that describes how the noise and/or vibration are transmitted between two (or multiple) locations in the LCS's. An analysis via the Fourier series and Fourier transform (FT) plays a major role in deriving this expression that turns out to be transfer function dependent upon the cycle position of the system. The cyclic nature of the LCS' transfer functions is shown to generate a series of amplitude modulated input signals whose carrier frequencies are harmonic multiples of the LCS' fundamental frequency. Applicability of signal processing techniques used in the linear time-invariant systems (LTIS's to the general LCSs is also discussed. Then, a criterion is proposed to determine how well a LCS can be approximated as a LTIS. In Part II, experimental validation of the analyses carried out in Part I is provided.

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2자유도 Hamiltonian계의 Subharmonic Melnikov 해석과 혼돈양상에 대한 연구 (On the Subharmonic Melnikov Analysis and Chaotic Behaviors in a 2-DOF Hamiltonian System)

  • 박철희;이근수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1993년도 추계학술대회논문집; 반도아카데미, 26 Nov. 1993
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    • pp.77-83
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    • 1993
  • In this paper, the dynamics of a 2-DOF not 1:1 resonant Hamiltonian system are studied. In the first part of the work, the behaviors of special periodic orbits called normal modes are examined by means of the harmonic balance method and their approximate stability ar analyzed by using the Synge's concept named stability in the kinematico-statical sense. Secondly, the global dynamics of the system for low and high energy are studied in terms of a perturbation analysis and Poincare' maps. In this part, one can see that the unstable normal mode generates chaotic motions resulting from the transverse intersections of the stable and unstable manifolds. Although there exist analytic methods for proving the existence of infinitely many periodic orbits, chaos, they cannot be applied in our case and thus, the Poincare' maps constructed by direct numerical integrations are utilized fot detecting chaotic motions. In the last part of the work, the existence of arbitrarily many periodic orbits of the system are proved by using a subharmonic Melnikov's method. We also study the possibility of the breakdown of invariant KAM tori only when h>h$_{0}$ (h$_{0}$:bifurcating energy) and investigate the generality of the destruction phenomena of the rational tori in the systems perturbed by stiffness and inertial coupling.

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Detection Copy-Move Forgery in Image Via Quaternion Polar Harmonic Transforms

  • Thajeel, Salam A.;Mahmood, Ali Shakir;Humood, Waleed Rasheed;Sulong, Ghazali
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제13권8호
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    • pp.4005-4025
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    • 2019
  • Copy-move forgery (CMF) in digital images is a detrimental tampering of artefacts that requires precise detection and analysis. CMF is performed by copying and pasting a part of an image into other portions of it. Despite several efforts to detect CMF, accurate identification of noise, blur and rotated region-mediated forged image areas is still difficult. A novel algorithm is developed on the basis of quaternion polar complex exponential transform (QPCET) to detect CMF and is conducted involving a few steps. Firstly, the suspicious image is divided into overlapping blocks. Secondly, invariant features for each block are extracted using QPCET. Thirdly, the duplicated image blocks are determined using k-dimensional tree (kd-tree) block matching. Lastly, a new technique is introduced to reduce the flat region-mediated false matches. Experiments are performed on numerous images selected from the CoMoFoD database. MATLAB 2017b is used to employ the proposed method. Metrics such as correct and false detection ratios are utilised to evaluate the performance of the proposed CMF detection method. Experimental results demonstrate the precise and efficient CMF detection capacity of the proposed approach even under image distortion including rotation, scaling, additive noise, blurring, brightness, colour reduction and JPEG compression. Furthermore, our method can solve the false match problem and outperform existing ones in terms of precision and false positive rate. The proposed approach may serve as a basis for accurate digital image forensic investigations.

THE HARMONIC ANALYSIS ASSOCIATED TO THE HECKMAN-OPDAM'S THEORY AND ITS APPLICATION TO A ROOT SYSTEM OF TYPE BCd

  • Trimeche, Khalifa
    • Korean Journal of Mathematics
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    • 제27권1호
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    • pp.221-267
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    • 2019
  • In the five first sections of this paper we define and study the hypergeometric transmutation operators $V^W_k$ and $^tV^W_k$ called also the trigonometric Dunkl intertwining operator and its dual corresponding to the Heckman-Opdam's theory on ${\mathbb{R}}^d$. By using these operators we define the hypergeometric translation operator ${\mathcal{T}}^W_x$, $x{\in}{\mathbb{R}}^d$, and its dual $^t{\mathcal{T}}^W_x$, $x{\in}{\mathbb{R}}^d$, we express them in terms of the hypergeometric Fourier transform ${\mathcal{H}}^W$, we give their properties and we deduce simple proofs of the Plancherel formula and the Plancherel theorem for the transform ${\mathcal{H}}^W$. We study also the hypergeometric convolution product on W-invariant $L^p_{\mathcal{A}k}$-spaces, and we obtain some interesting results. In the sixth section we consider a some root system of type $BC_d$ (see [17]) of whom the corresponding hypergeometric translation operator is a positive integral operator. By using this positivity we improve the results of the previous sections and we prove others more general results.

고유 음선 분석에 기반한 광대역 수중음향 전달 채널의 이산시간 근사 및 모의 방법 연구 (Discrete-time approximation and modeling of a broadband underwater propagation channel based on eigenray analysis)

  • 신동훈;조현덕;권택익;안재균
    • 한국음향학회지
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    • 제39권3호
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    • pp.216-225
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    • 2020
  • 본 논문은 음선 경로법에 기반한 광대역 수중음향 전달 채널을 모델링하는 방법을 다루었다. 수중음향 전달 채널은 종종 주파수 영역에서 시간 조화 함수로 취급되어, 광대역 시계열 신호 모의 시 활용이 어렵다. 따라서 수중 음파 전달 환경을 반영한 광대역 시간영역 모델링 기법이 요구되며, 본 논문에서는 이를 위해 시간영역에서 다중 경로의 도달 시간지연이 계산 가능한 고유 음선 분석 기법을 활용하였다. 또한 연속 시간의 파동방정식으로부터 산출된 고유 음선의 분석 결과를 컴퓨터 모의가 가능한 이산시간 시스템에 적용하기 위해, 음선의 위상, 주파수별 손실 및 도달 시간지연을 유한 임펄스 응답으로 근사하여, 광대역 수중음향 전달 채널을 모의하는 방법을 제안하였다.