• Title/Summary/Keyword: F-projection

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Adaptive Structure of Wavelet Neural Network with Geometric Growing Criterion (기하학적인 성장기준을 적용한 웨이브렛 신경망의 적응 구조 설계)

  • 서재용;김성주;조현찬;전홍태
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.6
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    • pp.449-453
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    • 2001
  • In this paper, we propose an algorithm to design the adaptive structure of wavelet neural network with F-projection and geometric growing criterion. Geometric growing criterion consists of estimated error criterion considering local error and angle criterion which attempts to assign a wavelet function that is nearly orthogonal to all other existing wavelet functions. These criteria provide a methodology that a network designer can construct wavelet neural network according to one's intention. We apply the proposed constructing algorithm of the adaptive structure of wavelet neural network to approximation problems of 1-D and 2-D function, and evaluate the effectiveness of the proposed algorithm.

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POSITIVE INTERPOLATION ON Ax = y AND AX = Y IN ALG$\mathcal{L}$

  • Kang, Joo-Ho
    • Honam Mathematical Journal
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    • v.31 no.2
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    • pp.259-265
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    • 2009
  • Let $\mathcal{L}$ be a subspace lattice on a Hilbert space $\mathcal{H}$. Let x and y be vectors in $\mathcal{H}$ and let $P_x$ be the projection onto sp(x). If $P_xE$ = $EP_x$ for each E ${\in}\;\mathcal{L}$, then the following are equivalent. (1) There exists an operator A in Alg$\mathcal{L}$ such that Ax = y, Af = 0 for all f in $sp(x)^{\perp}$ and A ${\geq}$ 0. (2) sup ${\frac{{\parallel}E^{\perp}y{\parallel}}{{\parallel}E^{\perp}x{\parallel}}:E{\in}\mathcal{L}}$ < ${\infty}$ < x, y > ${\geq}$ 0. Let X and Y be operators in $\mathcal{B}(\mathcal{H})$. Let P be the projection onto $\overline{rangeX}$. If PE = EP for each E ${\in}\;\mathcal{L}$, then the following are equivalent: (1) sup ${\frac{{\parallel}E^{\perp}Yf{\parallel}}{{\parallel}E^{\perp}Xf{\parallel}}:f{\in}\mathcal{H},E{\in}\mathcal{L}}$ < ${\infty}$ and < Xf, Yf > ${\geq}$ 0 for all f in H. (2) There exists a positive operator A in Alg$\mathcal{L}$ such that AX = Y.

NOTE ON THE OPERATOR ${\hat{P}}$ ON Lp(∂D)

  • Choi, Ki Seong
    • Journal of the Chungcheong Mathematical Society
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    • v.21 no.2
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    • pp.269-278
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    • 2008
  • Let ${\partial}D$ be the boundary of the open unit disk D in the complex plane and $L^p({\partial}D)$ the class of all complex, Lebesgue measurable function f for which $\{\frac{1}{2\pi}{\int}_{-\pi}^{\pi}{\mid}f(\theta){\mid}^pd\theta\}^{1/p}<{\infty}$. Let P be the orthogonal projection from $L^p({\partial}D)$ onto ${\cap}_{n<0}$ ker $a_n$. For $f{\in}L^1({\partial}D)$, ${\hat{f}}(z)=\frac{1}{2\pi}{\int}_{-\pi}^{\pi}P_r(t-\theta)f(\theta)d{\theta}$ is the harmonic extension of f. Let ${\hat{P}}$ be the composition of P with the harmonic extension. In this paper, we will show that if $1, then ${\hat{P}}:L^p({\partial}D){\rightarrow}H^p(D)$ is bounded. In particular, we will show that ${\hat{P}}$ is unbounded on $L^{\infty}({\partial}D)$.

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Growing Algorithm of Wavelet Neural Network using F-projection (F-투영법을 이용한 웨이블렛 신경망의 성장 알고리즘)

  • 서재용;김용택;조현찬;김용민;전홍태
    • Proceedings of the IEEK Conference
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    • 2001.06c
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    • pp.15-168
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    • 2001
  • In this paper, we propose growing algorithm of wavelet neural network. It is growing algorithm that adds hidden nodes using wavelet frame which approximately supports orthogonality in wavelet neural network based on wavelet theory. The result of this processing can be reduced global error and progresses performance efficiency of wavelet neural network. We apply the proposed algorithm to approximation problem and evaluate effectiveness of proposed algorithm.

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F-18 FDG Uptake in Respiratory Muscle Mimicking Metastasis in Patients with Gastric Cancer (위암 환자에서 전이로 오인된 호흡근의 F-18 FDG 섭취)

  • Choi, Seung-Jin;Kim, Jeong-Ho;Hyun, In-Young
    • Nuclear Medicine and Molecular Imaging
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    • v.40 no.4
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    • pp.233-236
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    • 2006
  • A 67-year-old man with a history of chronic obstructive pulmonary disease (COPD) underwent F-18 fluorodeoxyglucose (FDG) positron emission tomography/computed tomography (PET/CT) for staging of gastric cancer. The projection images of F-18 FDG PET/CT showed intensely increased F-18 FDG uptake in the anterior neck, chest wall, and upper abdomen. We suspected distant metastases of cervical lymph nodes, ribs, and peritoneum in gastric canter. However, the transaxial images of F-18 FDG PET/CT showed abnormal F-18 FDG uptake in scalene muscles of anterior neck, intercostal muscles of chest wall, and diaphragm of upper abdomen. Patients with COPD use respiratory muscles extensively on the resting condition. These excessive physiologic use of respiratory muscles causes increased F-18 FDG uptake as a result of increased glucose metabolism. The F-18 FDG uptake in respiratory muscles of gastric cancer patient with COPD mimicked distant metastases in cervical lymph nodes, ribs, and peritoneum.

SIFT Feature Based Digital Watermarking Method for VR Image (VR영상을 위한 SIFT 특징점 기반 디지털 워터마킹 방법)

  • Moon, Won-Jun;Seo, Young-Ho;Kim, Dong-Wook
    • Journal of Broadcast Engineering
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    • v.24 no.6
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    • pp.1152-1162
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    • 2019
  • With the rapid development of the VR industry, many VR contents are produced and circulated, and the need for copyright protection is increasing. In this paper, we propose a method of embedding and extracting watermarks in consideration of VR production process. In embedding, SIFT is performed by selecting the region where distortion is minimized in VR production, and transformed into frequency domain using DWT and embedded into the QIM method. In extracting process, in order to correct the distortion in the projection process, the top and bottom regions are changed to different projection methods and some middle regions are rotated using 3DoF to extract the watermark. After this processing, extracted watermark has higher accuracy than the conventional watermark method, and the validity of the proposed watermark is shown by showing that the accuracy is maintained even in various attacks.

Direct UV laser projection ablation to engrave 6㎛-wide patterns in a buildup film (빌드업 필름의 선폭 6㎛급 패턴 가공을 위한 직접식 UV 레이저 프로젝션 애블레이션)

  • Sohn, Hyonkee;Park, Jong-Sig;Jeong, Jeong-Su;Shin, Dong-Sig;Choi, Jiyeon
    • Laser Solutions
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    • v.17 no.3
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    • pp.19-23
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    • 2014
  • To directly engrave circuit-line patterns as wide as $6{\mu}m$ in a buildup film to be used as an IC substrate, we applied a projection ablation technique in which an 8 inch dielectric ($ZrO_2/SiO_2$) mask, a DPSS 355nm laser instead of an excimer laser, a ${\pi}$-shaper and a galvo scanner are used. With the ${\pi}$-shaper and a square aperture, the Gaussian beam from the laser is shaped into a square flap-top beam. The galvo scanner before the $f-{\theta}$ lens moves the flat-top beam ($115{\mu}m{\times}105{\mu}m$) across the 8 inch dielectric mask whose patterned area is $120mm{\times}120mm$. Based on the results of the previous research by the authors, the projection ratio was set at 3:1. Experiments showed that the average width and depth of the engraved patterns are $5.41{\mu}m$ and $7.30{\mu}m$, respectively.

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The Relationship of Radiation Dose and Image Quality According to the Condition of Chest PA

  • Son, Jin-Hyun;Min, Jung-Whan;Kang, Byung-Sam;Dong, Kyung-Rae
    • Korean Journal of Digital Imaging in Medicine
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    • v.13 no.4
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    • pp.165-169
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    • 2011
  • The purpose of this study is to compare the measurement result of radiation dose by using standard thoracic phantom and ionization chamber to advice proposal in the shooting condition of chest PA projection at hospitals recently. And to understand the change between radiation dose and resolution in different conditions. The period this study was from August 2010 to September 2010 and the subjects of the study was 3 general hospitals, 4 personal hospitals and 1 laboratory at the college. Finally we study with 6 DR, 1 CR, and 4 F/S equipments. Most hospitals met advice proposal, but some of the hospitals exceed advice dose from the result of our study. We can lower radiation dose about 25% when kVp is lowered about 20% in DR equipment. And we can lower radiation dose about 50% when mAs is lowered about 35%. The image quality was similar to the original in the study. Most hospitals which exceed advice dose were personal hospitals. The reason why it happened is that radiation dose for chest PA projection at personal hospitals is higher than general hospitals and the personal hospitals' equipments are older than general hospitals' equipments. We guess that patients' radiation dose of chest PA projection can be lowered from the result.

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A Study of Quality Control Environment of Mammography (유방촬영의 화질관리 환경에 대한 고찰)

  • Hwang, In-Sun;Kim, Young-Keun;Joo, Hyung-Yoon
    • Korean Journal of Digital Imaging in Medicine
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    • v.12 no.2
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    • pp.133-138
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    • 2010
  • The purpose of this study was to survey and test quality control of mammography system. The conclusion of this study is as follows ; First, The rate of pass for phantom image test shows that Film-Screen mammography system(F/S) and computed mammography system(CR) is 80%, Indirect digital mammography system(DR) is 100%. Second, The test of exposure dose shows that F/S is 921 mR. CR is 1,140 mR, DR is 474 mR. The grade of this testament is CR > F/S > DR. Third, The test of average glandular dose shows that F/S is 1,336 mGy, CR is 1,635 mGy, DR is 1,26 mGy. The grade of this testament is CR > F/S > DR. Fourth, The testament of resolution shows as follows F/S is 11~13 Lp/mm, CR is 4~5 Lp/mm, and DR is 5~7 Lp/mm(F/S > DR > CR) Fifth, The survey of projection, cassette, development and reading shows that user are indifference.

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3DoF+ 360 Video Projection Conversion for Saving Transmission Bitrates (3DoF+ 360 비디오 전송 비트레이트 절감을 위한 프로젝션 변경)

  • Jeong, JongBeom;Jang, Dongmin;Kim, Ju-Hyeong;Lee, Soonbin;Ryu, Eun-Seok
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2018.11a
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    • pp.170-173
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    • 2018
  • 최근 360 비디오를 지원하는 가상현실 시스템에 대한 수요가 높아지면서, 사용자의 편의를 위해 다양한 방법이 제안되고 있다. Moving Picture Experts Group (MPEG) 에서는 제한적인 사용자 경험을 제공하는 3DoF 를 넘어 3DoF+, 6DoF 표준을 진행하고 있고, 이에 따른 많은 연구도 활발히 진행되고 있다. 사용자가 앉아있는 상태에서 머리의 움직임에 따라 제한적인 자유도를 제공하는 3DoF+ 시스템은 여러 고해상도의 360 비디오 전송을 요구하여 네트워크 대역폭에 상당한 부담을 준다. 본 논문은 3DoF+ 360 비디오 전송 시 대역폭의 효율적 사용을 위한 비트레이트 절감 방안을 제안한다. 이를 위해, 본 논문은 360 비디오의 프로젝션을 변경하여 해상도를 줄이면서도 정보 손실을 최소화할 수 있는 방법을 제시하고 결과를 설명한다. 프로젝션 변경을 위해 360 라이브러리를 사용하였고, 인코딩과 디코딩 시 효율 측정을 위해 HEVC Test Model (HM)을 사용하였다. 최종적으로 구현된 시스템은 360 비디오를 최적의 프로젝션으로 변환 후 인코딩, 디코딩을 거치고 다시 360 비디오로 변환하는 과정을 지원한다.

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