• Title/Summary/Keyword: Integral Map

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INTEGRAL REPRESENTATIONS IN ELECTRICAL IMPEDANCE TOMOGRAPHY USING BOUNDARY INTEGRAL OPERATORS

  • Kwon, Ki-Woon
    • Journal of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.97-119
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    • 2008
  • Electrical impedance tomography (EIT) problem with anisotropic anomalous region is formulated in a few different ways using boundary integral operators. The Frechet derivative of Neumann-to-Dirichlet map is computed also by using boundary integral operators and the boundary of the anomalous region is approximated by trigonometric expansion with Lagrangian basis. The numerical reconstruction is done in case that the conductivity of the anomalous region is isotropic.

A study on the Nonlinear Normal Mode Vibration Using Adelphic Integral

  • Huinam Rhee;Kim, Jeong-Soo
    • Journal of Mechanical Science and Technology
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    • v.17 no.12
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    • pp.1922-1927
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    • 2003
  • Nonlinear normal mode (NNM) vibration, in a nonlinear dual mass Hamiltonian system, which has 6$\^$th/ order homogeneous polynomial as a nonlinear term, is studied in this paper. The existence, bifurcation, and the orbital stability of periodic motions are to be studied in the phase space. In order to find the analytic expression of the invariant curves in the Poincare Map, which is a mapping of a phase trajectory onto 2 dimensional surface in 4 dimensional phase space, Whittaker's Adelphic Integral, instead of the direct integration of the equations of motion or the Birkhoff-Gustavson (B-G) canonical transformation, is derived for small value of energy. It is revealed that the integral of motion by Adelphic Integral is essentially consistent with the one obtained from the B-G transformation method. The resulting expression of the invariant curves can be used for analyzing the behavior of NNM vibration in the Poincare Map.

A Study on the Nonlinear Normal Mode Vibration Using Adelphic Integral (Adelphic Integral을 이용한 비선형 정규모드 진동 해석)

  • Huinam Rhee;Joo, Jae-Man;Pak, Chol-Hui
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.799-804
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    • 2001
  • Nonlinear normal mode (NNM) vibration, in a nonlinear dual mass Hamiltonian system, which has 6th order homogeneous polynomial as a nonlinear term, is studied in this paper. The existence, bifurcation, and the orbital stability of periodic motions are to be studied in the phase space. In order to find the analytic expression of the invariant curves in the Poincare Map, which is a mapping of a phase trajectory onto 2 dimensional surface in 4 dimensional phase space, Whittaker's Adelphic Integral, instead of the direct integration of the equations of motion or the Birkhotf-Gustavson (B-G) canonical transformation, is derived for small value of energy. It is revealed that the integral of motion by Adelphic Integral is essentially consistent with the one obtained from the B-G transformation method. The resulting expression of the invariant curves can be used for analyzing the behavior of NNM vibration in the Poincare Map.

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Construction of 3D Information Cadastral Map Model Using GIS (GIS를 이용한 3차원정보지적도 모형 구축에 관한 연구)

  • 오이균;양인태;유영걸;천기선
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2004.04a
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    • pp.577-580
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    • 2004
  • Recently, in a field of cadastre, a computerization of cadastral map is in progress with great growth of GIS field. Also, the needs for the integration of land and building information are widely increasing for integral-management and its application of various land related information. In this study, it is constructed a 3D information cadastral map model that can make the integral management of land, building, connecting land recorders, building management ledgers, building titles, building pictures, and related attribute information.

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Three-Dimensional Map System Using Integral Imaging Technique (집적 영상 기술을 이용한 3차원 지도 시스템)

  • Cho, Myungjin
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.11
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    • pp.2799-2804
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    • 2014
  • In this paper, we suggest three-dimensional information extraction map system using integral imaging technique. Integral imaging can record multiple elemental images with different perspectives using a 2D image acquisition device with lenslet array. Using these images, integral imaging can obtain 3D information and display 3D image. In this paper, the position difference between elemental images can be obtained using summation of absolute difference (SAD), and then 3D information can be extracted. Therefore, this technique can find the height information of 3D objects.

DENJOY-TYPE INTEGRALS OF BANACH-VALUED FUNCTIONS

  • Cho, Sung-Jin;Lee, Byung-Soo;Lee, Gue-Myung
    • Communications of the Korean Mathematical Society
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    • v.13 no.2
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    • pp.307-316
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    • 1998
  • In this paper Denjoy*-Dunford, Denjoy*-Pettis, Denjoy*-McShane and Denjoy*-Bochner integrals of functions which map an interval [a,b] into a Banach space X are defined. And we give the relations among the integrals.

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Three-Dimensional Visualization Technique of Occluded Objects Using Integral Imaging with Plenoptic Camera

  • Lee, Min-Chul;Inoue, Kotaro;Tashiro, Masaharu;Cho, Myungjin
    • Journal of information and communication convergence engineering
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    • v.15 no.3
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    • pp.193-198
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    • 2017
  • In this study, we propose a three-dimensional (3D) visualization technique of occluded objects using integral imaging with a plenoptic camera. In previous studies, depth map estimation from elemental images was used to remove occlusion. However, the resolution of these depth maps is low. Thus, the occlusion removal accuracy is not efficient. Therefore, we use a plenoptic camera to obtain a high-resolution depth map. Hence, individual depth map for each elemental image can also be generated. Finally, we can regenerate a more accurate depth map for 3D objects with these separate depth maps, allowing us to remove the occlusion layers more efficiently. We perform optical experiments to prove our proposed technique. Moreover, we use MSE and PSNR as a performance metric to evaluate the quality of the reconstructed image. In conclusion, we enhance the visual quality of the reconstructed image after removing the occlusion layers using the plenoptic camera.

On the Computer Simulation for the Third Integral and an Application of the Poincare Map in Hamiltonian System (Hamiltonian 비선형계의 기하학적 연구와 제3의 운동상수 응용)

  • 박철희;문용찬
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.1
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    • pp.170-180
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    • 1986
  • 본 연구에서는 2자유도 Hamiltonian 운동계에서 비선형 정규모우드(normal mode)들의 안정성을 예측하기 위한 제3의 운동상수를 선형계의 진동수비가 1:1이고 포텐셜이 4차항까지 우함수인 일반계에 적용하여 발전시켰다. 이는 Hamiltonian을 정규모우드로 바꾸는 B-G변환과 함수들을 부호처리함과 Poincare map을 이용하다. 비선형계에서 비선형상수에 따라 모우드가 bifurcate되며, 각각의 모우드 안정성은 제3의 운동상수와 Poincare map으로 정확히 판정할 수 있다는 결론을 얻었다.

Soft Shadow with integral Filtering (적분기반 필터링을 이용한 소프트 섀도우)

  • Zhang, Bo;Oh, KyoungSu
    • Journal of Korea Game Society
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    • v.20 no.3
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    • pp.65-74
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    • 2020
  • In the shadow map method, if the shadow map is magnified, the shadow has a jagged silhouette. Herein, we propose a soft shadow method that filters reshaped silhouettes analytically. First, the shadow silhouette is reshaped through sub-texel edge detection, which is based on linear or quadratic curve models. Second, an integral shadow filtering algorithm is used to accurately obtain the average shadow intensity from a definite integral estimation. The implementation demonstrates that our solution can effectively eliminate jagged aliasing and efficiently generate soft shadows.

Integral Regression Network for Facial Landmark Detection (얼굴 특징점 검출을 위한 적분 회귀 네트워크)

  • Kim, Do Yeop;Chang, Ju Yong
    • Journal of Broadcast Engineering
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    • v.24 no.4
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    • pp.564-572
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    • 2019
  • With the development of deep learning, the performance of facial landmark detection methods has been greatly improved. The heat map regression method, which is a representative facial landmark detection method, is widely used as an efficient and robust method. However, the landmark coordinates cannot be directly obtained through a single network, and the accuracy is reduced in determining the landmark coordinates from the heat map. To solve these problems, we propose to combine integral regression with the existing heat map regression method. Through experiments using various datasets, we show that the proposed integral regression network significantly improves the performance of facial landmark detection.