• Title/Summary/Keyword: smooth points

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Approximating Common Fixed Points of One-step Iterative Scheme with Error for Asymptotically Quasi-nonexpansive Type Nonself-Mappings

  • Puturong, Narongrit
    • Kyungpook Mathematical Journal
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    • v.49 no.4
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    • pp.667-674
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    • 2009
  • In this paper, a new one-step iterative scheme with error for approximating common fixed points of asymptotically quasi-nonexpansive type nonself-mappings in Banach space is defined. The results obtained in this paper extend and improve the recent ones, announced by H. Y. Zhou, Y. J. Cho, and S. M. Kang [Zhou et al.,(2007), namely, A new iterative algorithm for approximating common fixed points for asymptotically non-expansive mappings, published to Fixed Point Theory and Applications 2007 : 1-9], and many others.

3D Shape Optimization of Nonlinear Electromagnetic Device Using Parameterized Sensitivity Analysis (매개화된 민감도 해석에 의한 비선형 전자소자의 3차원 형상최적화)

  • ;Yingying Yao
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.53 no.8
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    • pp.469-476
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    • 2004
  • In this paper, a 3D shape optimization algorithm which guarantees a smooth optimal shape is presented using parameterized sensitivity analysis. The design surface is parameterized using Bezier spline and B-spline, and the control points of the spline are taken as the design variables. The parameterized sensitivity for the control points are found from that for nodal points. The design sensitivity and adjoint variable formulae are also derived for the 3D non-linear problems. Through an application to the shape optimization of 3D electromagnet to get a uniform magnetic field, the effectiveness of the proposed algorithm is shown.

3D Shape Optimization of Nonlinear Electromagnetic Device Using Parameterized Sensitivity Analysis (매개화된 민감도 해석에 의한 3차원 비선형 모델의 형상 최적화)

  • Ryu, Jae-Seop;Koh, Chang-Seop;Yun, So-Nam
    • Proceedings of the KIEE Conference
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    • 2003.07b
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    • pp.915-917
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    • 2003
  • In this paper, a 3D shape optimization algorithm which guarantees a smooth optimal shape is presented using parameterized sensitivity analysis. The design surface is parameterized using Bezier spline and the control points of the spline are taken as the design variables. The parameterized sensitivity for the control points are found from that for nodal Points. The design sensitivity and adjoint variable formulae are also derived for the 3D non-linear problems. Through an application to the shape optimization of 3D electromagnet to get a uniform magnetic field, the effectiveness of the proposed algorithm is shown.

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A study on Web-based Video Panoramic Virtual Reality for Hose Cyber Shell Museum (비디오 파노라마 가상현실을 기반으로 하는 호서 사이버 패류 박물관의 연구)

  • Hong, Sung-Soo;khan, Irfan;Kim, Chang-ki
    • Proceedings of the Korea Information Processing Society Conference
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    • 2012.11a
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    • pp.1468-1471
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    • 2012
  • It is always a dream to recreate the experience of a particular place, the Panorama Virtual Reality has been interpreted as a kind of technology to create virtual environments and the ability to maneuver angle for and select the path of view in a dynamic scene. In this paper we examined an efficient algorithm for Image registration and stitching of captured imaged from a video stream. Two approaches are studied in this paper. First, dynamic programming is used to spot the ideal key points, match these points to merge adjacent images together, later image blending is use for smooth color transitions. In second approach, FAST and SURF detection are used to find distinct features in the images and a nearest neighbor algorithm is used to match corresponding features, estimate homography with matched key points using RANSAC. The paper also covers the automatically choosing (recognizing, comparing) images to stitching method.

Multiple change-point estimation in spectral representation

  • Kim, Jaehee
    • Communications for Statistical Applications and Methods
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    • v.29 no.1
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    • pp.127-150
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    • 2022
  • We discuss multiple change-point estimation as edge detection in piecewise smooth functions with finitely many jump discontinuities. In this paper we propose change-point estimators using concentration kernels with Fourier coefficients. The change-points can be located via the signal based on Fourier transformation system. This method yields location and amplitude of the change-points with refinement via concentration kernels. We prove that, in an appropriate asymptotic framework, this method provides consistent estimators of change-points with an almost optimal rate. In a simulation study the proposed change-point estimators are compared and discussed. Applications of the proposed methods are provided with Nile flow data and daily won-dollar exchange rate data.

Stress wave propagation in 1-D and 2-D media using Smooth Particle Hydrodynamics method

  • Liu, Z.S.;Swaddiwudhipong, S.;Koh, C.G.
    • Structural Engineering and Mechanics
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    • v.14 no.4
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    • pp.455-472
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    • 2002
  • The paper involves the study on the elastic and elasto-plastic stress wave propagation in the 1-D and 2-D solid media. The Smooth Particle Hydrodynamics equations governing the elastic and elasto-plastic large deformation dynamic response of solid structures are presented. The proposed additional stress points are introduced in the formulation to mitigate the tensile instability inherent in the SPH approach. Both incremental rate approach and leap-frog algorithm for time integration are introduced and the new solution algorithm is developed and implemented. Two examples on stress wave propagation in aluminium bar and 2-D elasto-plastic steel plate are included. Results from the proposed SPH approach are compared with available analytical values and finite element solutions. The comparison illustrates that the stress wave propagation problems can be effectively solved by the proposed SPH method. The study shows that the SPH simulation is a reliable and robust tool and can be used with confidence to treat transient dynamics such as linear and non-linear transient stress wave propagation problems.

A Posture Control for Underwater Vehicle with Nonholonomic Constraint (비 홀로노믹 구속조건을 이용한 수중 이동체의 자세제어에 관한 연구)

  • Nam, Taek-Kun;Kim, Chol-Seong
    • Journal of Navigation and Port Research
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    • v.28 no.6
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    • pp.469-474
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    • 2004
  • In this paper, we study the posture control of an underwater vehicle with nonholonomic constraint. Generally, systems with nonholnomic constraints cannot be stabilized to an equilibrium points by smooth state feedback control. For the nonholonomic underwater vehicle system, we applied coordinate transformation to get multi-chained system We proposed non smooth feedback controller using backstepping method for stabilizing the multi chained form system Applying inverse input transformation to the non smooth feedback controller, we can get posture controller of the underwater vehicle with nonholonomic constraint. The proposed control scheme is applied to the posture control qf an underwater vehicle and verified the effectiveness of control strategy by numerical simulation.

DYNAMICS ON AN INVARIANT SET OF A TWO-DIMENSIONAL AREA-PRESERVING PIECEWISE LINEAR MAP

  • Lee, Donggyu;Lee, Dongjin;Choi, Hyunje;Jo, Sungbae
    • East Asian mathematical journal
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    • v.30 no.5
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    • pp.583-597
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    • 2014
  • In this paper, we study an area-preserving piecewise linear map with the feature of dangerous border collision bifurcations. Using this map, we study dynamical properties occurred in the invariant set, specially related to the boundary of KAM-tori, and the existence and stabilities of periodic orbits. The result shows that elliptic regions having periodic orbits and chaotic region can be divided by smooth curve, which is an unexpected result occurred in area preserving smooth dynamical systems.

Semi-automatic method for surface smoothing

  • Lee, Chong-Sun;Lee, Chong-Won;Park, Se-Hyung
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.249-254
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    • 1987
  • This paper presents a new method for generating smooth free-form surface by local correction. B-spline surface is used for its convenience of local correction, and the direction of surface correction is fixed to the average-surface-normal direction. The surface to be corrected is approximated into a uniform cubic B-spline surface. Then, the smoothness (curvature arrows, iso-parametric lines) of the approximated surface is displayed with B-spline control points. When a control point near the region that needs correction is selected, a new point 1 mm higher than the original control point in the direction of the average surface normal is displayed. And the surface is corrected by giving the amount of control point movement interactively. Since the direction of correction is given by the program and the amount of correction is selected by the user, the method is called semiautomatic. sufficiently smooth surface can be obtained by this method. Examples are given to illustrate the method.

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Detection and non-propagating cracks of small fatigue crack (미소피로균열의 검출과 정류균열)

  • 이종형
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.3
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    • pp.603-609
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    • 1990
  • Detection and non-propagating cracks of small fatigue crack for smooth and pre-cracked specimens were examined in a carbon steel. The fretting oxide induced crack closure triggered by the roughness induced crack closure has an important role in determing the length. The fatigue limit for the with no cracks or with a short pre-crack is lower at R=-1 than that at R=0. A non-propagating crack are quite different between points near the specimen's surface and those of deepest penetration.