• Title/Summary/Keyword: frame operator

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ON A TYPE OF DIFFERENTIAL CALCULUS IN THE FRAME OF GENERALIZED HILFER INTEGRO-DIFFERENTIAL EQUATION

  • Mohammed N. Alkord;Sadikali L. Shaikh;Mohammed B. M. Altalla
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.1
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    • pp.83-98
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    • 2024
  • In this paper, we investigate the existence and uniqueness of solutions to a new class of integro-differential equation boundary value problems (BVPs) with ㄒ-Hilfer operator. Our problem is converted into an equivalent fixed-point problem by introducing an operator whose fixed points coincide with the solutions to the given problem. Using Banach's and Schauder's fixed point techniques, the uniqueness and existence result for the given problem are demonstrated. The stability results for solutions of the given problem are also discussed. In the end. One example is provided to demonstrate the obtained results

Motion Compensated Subband Video Coding with Arbitrarily Shaped Region Adaptivity

  • Kwon, Oh-Jin;Choi, Seok-Rim
    • ETRI Journal
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    • v.23 no.4
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    • pp.190-198
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    • 2001
  • The performance of Motion Compensated Discrete Cosine Transform (MC-DCT) video coding is improved by using the region adaptive subband image coding [18]. On the assumption that the video is acquired from the camera on a moving platform and the distance between the camera and the scene is large enough, both the motion of camera and the motion of moving objects in a frame are compensated. For the compensation of camera motion, a feature matching algorithm is employed. Several feature points extracted using a Sobel operator are used to compensate the camera motion of translation, rotation, and zoom. The illumination change between frames is also compensated. Motion compensated frame differences are divided into three regions called stationary background, moving objects, and newly emerging areas each of which is arbitrarily shaped. Different quantizers are used for different regions. Compared to the conventional MC-DCT video coding using block matching algorithm, our video coding scheme shows about 1.0-dB improvements on average for the experimental video samples.

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φ-FRAMES AND φ-RIESZ BASES ON LOCALLY COMPACT ABELIAN GROUPS

  • Gol, Rajab Ali Kamyabi;Tousi, Reihaneh Raisi
    • Journal of the Korean Mathematical Society
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    • v.48 no.5
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    • pp.899-912
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    • 2011
  • We introduce ${\varphi}$-frames in $L^2$(G), as a generalization of a-frames defined in [8], where G is a locally compact Abelian group and ${\varphi}$ is a topological automorphism on G. We give a characterization of ${\varphi}$-frames with regard to usual frames in $L^2$(G) and show that ${\varphi}$-frames share several useful properties with frames. We define the associated ${\varphi}$-analysis and ${\varphi}$-preframe operators, with which we obtain criteria for a sequence to be a ${\varphi}$-frame or a ${\varphi}$-Bessel sequence. We also define ${\varphi}$-Riesz bases in $L^2$(G) and establish equivalent conditions for a sequence in $L^2$(G) to be a ${\varphi}$-Riesz basis.

Solving Time-dependent Schrödinger Equation Using Gaussian Wave Packet Dynamics

  • Lee, Min-Ho;Byun, Chang Woo;Choi, Nark Nyul;Kim, Dae-Soung
    • Journal of the Korean Physical Society
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    • v.73 no.9
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    • pp.1269-1278
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    • 2018
  • Using the thawed Gaussian wave packets [E. J. Heller, J. Chem. Phys. 62, 1544 (1975)] and the adaptive reinitialization technique employing the frame operator [L. M. Andersson et al., J. Phys. A: Math. Gen. 35, 7787 (2002)], a trajectory-based Gaussian wave packet method is introduced that can be applied to scattering and time-dependent problems. This method does not require either the numerical multidimensional integrals for potential operators or the inversion of nearly-singular matrices representing the overlap of overcomplete Gaussian basis functions. We demonstrate a possibility that the method can be a promising candidate for the time-dependent $Schr{\ddot{o}}dinger$ equation solver by applying to tunneling, high-order harmonic generation, and above-threshold ionization problems in one-dimensional model systems. Although the efficiency of the method is confirmed in one-dimensional systems, it can be easily extended to higher dimensional systems.

On-line visin system for transistor inspection (트랜지스터 검사용 온라인 비젼 시스템)

  • 노경완;전정희;김충원
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.769-772
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    • 1998
  • This paper present an efficient techniques for visual inspection of taped electronic parts, suitable for real time implementation. The main environments of developed system are IBM-compatible personal computer, frame grabber, digital input-output board. It is connected to the programmable logic controller unit of the taping machine in real time. Using a queuing structure, operator or extractor machine can remove easily the defect one from production line. Also, we design a new illumination system for sacquring shape and subface features of object. Therefore, it redue pre-processing step and processing time.

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Nudge of VTS

  • Kim, Bong-Hyun
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2011.06a
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    • pp.132-134
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    • 2011
  • In Communications are intended elicit respondses through a conversation or communication styles between speaker and audience. VTSO and the ship operator's intent to communicate well with each other thus leading to the conclusion that must be accomplished It should be completed with MRC which is a poor means to understand and persuasive manner, and conclusions expressed are easily able to derive strategic communication skills. Forever, but these expression and technic can not force where the operator deciding factor in the law frame should not spiral out of the border. VTSO communication skills should be taken into such factors would be high level technic. Now here's I'd like to study that occured in the maritime communications field to be studied deeper issues and a category of expression technic, expression for the VTSO.

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Development of the Portable Standard System for the Vehicle Detectors' Evaluation (차량검지기 성능평가를 위한 이동식 기준 장비 개발)

  • Lee, Sang Hyup;Baik, Nam Cheol;Heo, Woon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.3D
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    • pp.353-359
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    • 2006
  • Image frame analysis is a conventional way of evaluating loop detector's performance. In image frame analysis, the time to evaluate performance is linearly proportional to the number of evaluated subjects, and the results can be subjective, depending on operator's personal evaluation standards and physical condition. Also, this method is often inferior in accuracy to that provided by the evaluated devices. Therefore, it is critical to develop a portable standard system which has better accuracy and more objectivity in evaluating vehicle detectors. This paper discusses function and reliability of tape-switch detector, which can be a replacement for image frame analysis, for effectively measuring traffic volume, speed, and occupancy.

A Method for Restoring Trademark and Caption Areas using Isophote Information (등광도선 정보를 이용한 상표 및 자막영역 복원 방법)

  • 김종배;정수웅
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.41 no.3
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    • pp.1-8
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    • 2004
  • In this paper, we propose a method for restoring trademark and caption areas using an isophote. In our method, the image restoration problem is modeled as an optimization problem, which in our case, is solved by a cost function with isophote constraint that is minimized using a GA The technique creates an optimal connection of all pairs of isophotes disconnected by a caption in the frame. For connecting the disconnected isophotes, we estimate the value of the smoothness, given by the best chromosomes of the GA and project this value in the isophote direction. Experimental results show that the isophote operator worked better than Laplacian operator for image restoration, and the proposed method has a great possibility for automatic restoration of a region in an advertisement scene.

Speech Enhancement Algorithm Based on Teager Energy and Speech Absence Probability in Noisy Environments (잡음환경에서 Teager 에너지와 음성부재확률 기반의 음성향상 알고리즘)

  • Park, Yun-Sik;An, Hong-Sub;Lee, Sang-Min
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.49 no.3
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    • pp.81-88
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    • 2012
  • In this paper, we propose a novel speech enhancement algorithm for effective noise suppression in various noisy environments. In the proposed method, to result in improved decision performance for speech and noise segments, local speech absence probability (LSAP, local SAP) based on Teager energy of noisy speech is used as the feature parameter for voice activity detection (VAD) in each frequency subband instead of conventional LSAP. In addition, The presented method utilizes global SAP (GSAP) derived in each frame as the weighting parameter for the modification of the adopted TE operator to improve the performance of TE operator. Performances of the proposed algorithm are evaluated by objective test under various environments and better results compared with the conventional methods are obtained.

Development of automatic die bonder system for semiconductor parts assembly (반도체 소자용 자동 die bonding system의 개발)

  • 변증남;오상록;서일홍;유범재;안태영;김재옥
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.353-359
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    • 1988
  • In this paper, the design and implementation of a multi-processor based die bonder machine for the semiconductor will be described. This is a final research results carried out for two years from June, 1986 to July, 1988. The mechanical system consists of three subsystems such as bonding head module, wafer feeding module, and lead frame feeding module. The overall control system consists of the following three subsystems each of which employs a 16 bit microprocessor MC 68000 : (i) supervisory control system, (ii) visual recognition / inspection system and (iii) the display system. Specifically, the supervisory control system supervises the whole sequence of die bonder machine, performs a self-diagnostics while it controls the bonding head module according to the prespecified bonding cycle. The vision system recognizes the die to inspect the die quality and deviation / orientation of a die with respect to a reference position, while it controls the wafer feeding module. Finally, the display system performs a character display, image display ans various error messages to communicate with operator. Lead frame feeding module is controlled by this subsystem. It is reported that the proposed control system were applied to an engineering sample and tested in real-time, and the results are sucessful as an engineering sample phase.

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