• Title/Summary/Keyword: Motion transform

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Free transverse vibrations of an elastically connected simply supported twin pipe system

  • Balkaya, Muge;Kaya, Metin O.;Saglamer, Ahmet
    • Structural Engineering and Mechanics
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    • v.34 no.5
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    • pp.549-561
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    • 2010
  • In this paper, free vibration analyses of a parallel placed twin pipe system simulated by simply supported-simply supported and fixed-fixed Euler-Bernoulli beams resting on Winkler elastic soil are presented. The motion of the system is described by a homogenous set of two partial differential equations, which is solved by a simulation method called the Differential Transform Method (DTM). Free vibrations of an elastically connected twin pipe system are realized by synchronous and asynchronous deflections. The results of the presented theoretical analyses for simply supported Euler-Bernoulli beams are compared with existing ones in open literature and very good agreement is demonstrated.

Conformable solution of fractional vibration problem of plate subjected to in-plane loads

  • Fadodun, Odunayo O.;Malomo, Babafemi O.;Layeni, Olawanle P.;Akinola, Adegbola P.
    • Wind and Structures
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    • v.28 no.6
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    • pp.347-354
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    • 2019
  • This study provides an approximate analytical solution to the fractional vibration problem of thin plate governing anomalous motion of plate subjected to in-plane loads. The method of variable separable is employed to transform the fractional partial differential equations under consideration into a fractional ordinary differential equation in temporal variable and a bi-harmonic plate equation in spatial variable. The technique of conformable fractional derivative is utilized to solve the resulting fractional differential equation and the approach of finite sine integral transform method is used to solve the accompanying bi-harmonic plate equation. The deflection field which measures the transverse displacement of the plate is expressed in terms of product of Bessel and trigonometric functions via the temporal and spatial variables respectively. The obtained solution reduces to the solution of the free vibration problem of thin plate in literature. This work shows that conformable fractional derivative is an efficient mathematical tool for tracking analytical solution of fractional partial differential equation governing anomalous vibration of thin plates.

Tracking of Moving Object in MPEG Compressed Domain Using Mean-Shift Algorithm (Mean-Shift 알고리즘을 이용한 MPEG2 압축 영역에서의 움직이는 객체 추적)

  • 박성모;이준환
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.8C
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    • pp.1175-1183
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    • 2004
  • This paper propose a method to trace a moving object based on the information directly obtained from MPEG-2 compressed video stream without decoding process. In the proposed method, the motion flow is constructed from the motion vectors involved in compressed video and then we calculate the amount of pan, tilt, zoom associated with camera operations using generalized Hough transform. The local object motion can be extracted from the motion flow after the compensation with the parameters related to the global camera motion. The moving object is designated initially by a user via bounding box. After then automatic tracking is performed based on the mean-shift algorithm of the motion flows of the object. The proposed method can improve the computation speed because the information is directly obtained from the MPEG-2 compressed video, but the object boundary is limited by blocks rather than pixels.

Particle-motion-tracking Algorithm for the Evaluation of the Multi-physical Properties of Single Nanoparticles (단일 나노입자의 다중 물리량의 평가를 위한 입자 모션 트랙킹 알고리즘)

  • Park, Yeeun;Kang, Geeyoon;Park, Minsu;Noh, Hyowoong;Park, Hongsik
    • Journal of Sensor Science and Technology
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    • v.31 no.3
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    • pp.175-179
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    • 2022
  • The physical properties of biomaterials are important for their isolation and separation from body fluids. In particular, the precise evaluation of the multi-physical properties of single biomolecules is essential in that the correlation between physical and biological properties of specific biomolecule. However, the majority of scientific equipment, can only determine specific-physical properties of single nanoparticles, making the evaluation of the multi-physical properties difficult. The improvement of analytical techniques for the evaluation of multi-physical properties is therefore required in various research fields. In this study, we developed a motion-tracking algorithm to evaluate the multi-physical properties of single-nanoparticles by analyzing their behavior. We observed the Brownian motion and electric-field-induced drift of fluorescent nanoparticles injected in a microfluidic chip with two electrodes using confocal microscopy. The proposed algorithm is able to determine the size of the nanoparticles by i) removing the background noise from images, ii) tracking the motion of nanoparticles using the circular-Hough transform, iii) extracting the mean squared displacement (MSD) of the tracked nanoparticles, and iv) applying the MSD to the Stokes-Einstein equation. We compared the evaluated size of the nanoparticles with the size measured by SEM. We also determined the zeta-potential and surface-charge density of the nanoparticles using the extracted electrophoretic velocity and the Helmholtz-Smoluchowski equation. The proposed motion-tracking algorithm could be employed in various fields related to biomaterial analysis, such as exosome analysis.

A Study on the Multiresolution Motion Estimation Adequate to Low-Band-Shift Method in Wavelet Domain (웨이블릿 변환 영역에서 저대역 이동법에 적합한 다해상도 움직임 추정에 관한 연구)

  • 조재만;김현민;고형화
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.2C
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    • pp.110-120
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    • 2003
  • In this paper, we propose a Multiresolution Motion Estimation(MRME) adapted to Low-Band-Shift(LBS) method in wavelet domain. To overcome shift-variant property on wavelet coefficients, the LBS was previously proposed. This method which is applied to reference frame in video coding technique, has superior performance in terms of rate-distortion characteristic. However, this method needs more memory and computational complexity. In this paper, The computational complexity of the proposed method(LBS-MRME) is about 15.6% of that of existing method at 3-level wavelet transform. And although it has about 7 times as much as existing method's motion vector since each subband has different motion vector, it decreases motion compensated prediction error by detailed motion estimation, and then has better efficient coding performance. The experimental results with the proposed method showed about 0.3∼11.6% improvement of MAD performance in case of lossless coding, and 0.3∼3.0㏈ improvement of PSNR performance at the same bit rate in case of lossy coding.

Multi-Frame-Based Super Resolution Algorithm by Using Motion Vector Normalization and Edge Pattern Analysis (움직임 벡터의 정규화 및 에지의 패턴 분석을 이용한 복수 영상 기반 초해상도 영상 생성 기법)

  • Kwon, Soon-Chan;Yoo, Jisang
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.38A no.2
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    • pp.164-173
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    • 2013
  • In this paper, we propose multi-frame based super resolution algorithm by using motion vector normalization and edge pattern analysis. Existing algorithms have constraints of sub-pixel motion and global translation between frames. Thus, applying of algorithms is limited. And single-frame based super resolution algorithm by using discrete wavelet transform which robust to these problems is proposed but it has another problem that quantity of information for interpolation is limited. To solve these problems, we propose motion vector normalization and edge pattern analysis for 2*2 block motion estimation. The experimental results show that the proposed algorithm has better performance than other conventional algorithms.

On the eigenvalues of a uniform rectangular plate carrying any number of spring-damper-mass systems

  • Chen, Der-Wei
    • Structural Engineering and Mechanics
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    • v.16 no.3
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    • pp.341-360
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    • 2003
  • The goal of this paper is to determine the eigenvalues of a uniform rectangular plate carrying any number of spring-damper-mass systems using an analytical-and-numerical-combined method (ANCM). To this end, a technique was presented to replace each "spring-damper-mass" system by a massless equivalent "spring-damper" system with the specified effective spring constant and effective damping coefficient. Then, the mode superposition approach was used to transform the partial differential equation of motion into the matrix equation, and the eigenvalues of the complete system were determined from the associated characteristic equation. To verify the reliability of the presented theory, all numerical results obtained from the ANCM were compared with those obtained from the conventional finite element method (FEM) and good agreement was achieved. Since the order of the property matrices for the equation of motion obtained from the ANCM is much lower than that obtained from the FEM, the CPU time required by the ANCM is much less than that by the FEM.

Dynamic tracking control of robot manipulators using vision system (비전 시스템을 이용한 로봇 머니퓰레이터의 동력학 추적 제어)

  • 한웅기;국태용
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1816-1819
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    • 1997
  • Using the vision system, robotic tasks in unstructured environments can be accompished, which reduces greatly the cost and steup time for the robotic system to fit to he well-defined and structured working environments. This paper proposes a dynamic control scheme for robot manipulator with eye-in-hand camera configuration. To perfom the tasks defined in the image plane, the camera motion Jacobian (image Jacobian) matrix is used to transform the camera motion to the objection position change. In addition, the dynamic learning controller is designed to improve the tracking performance of robotic system. the proposed control scheme is implemented for tasks of tracking moving objects and shown to outperform the conventional visual servo system in convergence and robustness to parameter uncertainty, disturbances, low sampling rate, etc.

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Overdrive Frame Memory Reduction Using a Fast Discrete Wavelet Transform (고속 이산 웨이블릿 변환을 이용한 Overdrive 프레임 메모리 축소)

  • Seong, Jeong-Hoon;Moon, Hyeok;Chun, Ik-Jae;Kim, Bo-Gwan
    • Proceedings of the IEEK Conference
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    • 2005.11a
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    • pp.933-936
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    • 2005
  • Applications of LCD panel are getting more increased for motion-image applications. However, when the motion-images are displayed on LCD panels, they may be blurred due to slow response time of liquid crystal (LC). One of the solutions of the problem is overdrive technique. The technique has a lot of memory usage. In this paper, we propose a reduction method of the frame memory that is required for LCD overdrive. Proposed overdrive architecture consists of line-based lifting integer (5, 3) DWT filter for image data reduction and BLI (Bi-Linearly Interpolation) LUT for pixel value accelerating.

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Transient response of 2D functionally graded beam structure

  • Eltaher, Mohamed A.;Akbas, Seref D.
    • Structural Engineering and Mechanics
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    • v.75 no.3
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    • pp.357-367
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    • 2020
  • The objective of this article is investigation of dynamic response of thick multilayer functionally graded (FG) beam under generalized dynamic forces. The plane stress problem is exploited to describe the constitutive equation of thick FG beam to get realistic and accurate response. Applied dynamic forces are assumed to be sinusoidal harmonic, sinusoidal pulse or triangle in time domain and point load. Equations of motion of deep FG beam are derived based on the Hamilton principle from kinematic relations and constitutive equations of plane stress problem. The numerical finite element procedure is adopted to discretize the space domain of structure and transform partial differential equations of motion to ordinary differential equations in time domain. Numerical time integration method is used to solve the system of equations in time domain and find the time responses. Numerical parametric studies are performed to illustrate effects of force type, graduation parameter, geometrical and stacking sequence of layers on the time response of deep multilayer FG beams.