• Title/Summary/Keyword: Projection method

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A Study on the Masking Data in All-Projection Method for Transparent Copy (All-Projection Method에 있어서 Masking Data에 관한 연구)

  • ChulWhoiKoo
    • Journal of the Korean Graphic Arts Communication Society
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    • v.5 no.1
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    • pp.25-32
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    • 1987
  • Following results about Y, M, C mask are obtained by the Indirect-Screen Color Separation Method. We mark use of experimental system which are in use for the student education. In the All-Projection Method of transparency Copy, the results are summerized as follows; (omitted)

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Occlusive Face Recognition using the Selective Subspace Projection Method (선택적 부공간 투영 방법을 사용한 가려진 얼굴 인식)

  • Kim, Young-Gil;Song, Young-Jun;Kim, Dong-Woo;Ahn, Jae-Hyeong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.1
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    • pp.48-52
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    • 2008
  • In this paper, we propose a new selective subspace projection method in order to recognize the occlusive face image effectively. The conventional subspace projection method is project to basis image using a full image of face. The face recognition rate has reduced because the face characteristic is easy to be distorted by occlusion. To overcome this problem, the proposed method first decide to occlusion. If it hasn't an occlusion, we get the feature vectors with total basis projection using the conventional subspace projection method. If it has an occlusion, we get one with partial basis projection. We get better recognition rate than conventional PCA and NMF using AR face database with occlusive face images.

NUMERICAL IMPLEMENTATION OF THE TWO-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATION

  • CHOI, YONGHO;JEONG, DARAE;LEE, SEUNGGYU;KIM, JUNSEOK
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.19 no.2
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    • pp.103-121
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    • 2015
  • In this paper, we briefly review and describe a projection algorithm for numerically computing the two-dimensional time-dependent incompressible Navier-Stokes equation. The projection method, which was originally introduced by Alexandre Chorin [A.J. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comput., 22 (1968), pp. 745-762], is an effective numerical method for solving time-dependent incompressible fluid flow problems. The key advantage of the projection method is that we do not compute the momentum and the continuity equations at the same time, which is computationally difficult and costly. In the projection method, we compute an intermediate velocity vector field that is then projected onto divergence-free fields to recover the divergence-free velocity. Numerical solutions for flows inside a driven cavity are presented. We also provide the source code for the programs so that interested readers can modify the programs and adapt them for their own purposes.

Nonnegative variance component estimation for mixed-effects models

  • Choi, Jaesung
    • Communications for Statistical Applications and Methods
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    • v.27 no.5
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    • pp.523-533
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    • 2020
  • This paper suggests three available methods for finding nonnegative estimates of variance components of the random effects in mixed models. The three proposed methods based on the concepts of projections are called projection method I, II, and III. Each method derives sums of squares uniquely based on its own method of projections. All the sums of squares in quadratic forms are calculated as the squared lengths of projections of an observation vector; therefore, there is discussion on the decomposition of the observation vector into the sum of orthogonal projections for establishing a projection model. The projection model in matrix form is constructed by ascertaining the orthogonal projections defined on vector subspaces. Nonnegative estimates are then obtained by the projection model where all the coefficient matrices of the effects in the model are orthogonal to each other. Each method provides its own system of linear equations in a different way for the estimation of variance components; however, the estimates are given as the same regardless of the methods, whichever is used. Hartley's synthesis is used as a method for finding the coefficients of variance components.

STOCHASTIC GRADIENT METHODS FOR L2-WASSERSTEIN LEAST SQUARES PROBLEM OF GAUSSIAN MEASURES

  • YUN, SANGWOON;SUN, XIANG;CHOI, JUNG-IL
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.25 no.4
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    • pp.162-172
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    • 2021
  • This paper proposes stochastic methods to find an approximate solution for the L2-Wasserstein least squares problem of Gaussian measures. The variable for the problem is in a set of positive definite matrices. The first proposed stochastic method is a type of classical stochastic gradient methods combined with projection and the second one is a type of variance reduced methods with projection. Their global convergence are analyzed by using the framework of proximal stochastic gradient methods. The convergence of the classical stochastic gradient method combined with projection is established by using diminishing learning rate rule in which the learning rate decreases as the epoch increases but that of the variance reduced method with projection can be established by using constant learning rate. The numerical results show that the present algorithms with a proper learning rate outperforms a gradient projection method.

A CLASSIFICATION OF THE SECOND ORDER PROJECTION METHODS TO SOLVE THE NAVIER-STOKES EQUATIONS

  • Pyo, Jae-Hong
    • Korean Journal of Mathematics
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    • v.22 no.4
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    • pp.645-658
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    • 2014
  • Many projection methods have been progressively constructed to find more accurate and efficient solution of the Navier-Stokes equations. In this paper, we consider most recently constructed projection methods: the pressure correction method, the gauge method, the consistent splitting method, the Gauge-Uzawa method, and the stabilized Gauge-Uzawa method. Each method has different background and theoretical proof. We prove equivalentness of the pressure correction method and the stabilized Gauge-Uzawa method. Also we will obtain that the Gauge-Uzawa method is equivalent to the gauge method and the consistent splitting method. We gather theoretical results of them and conclude that the results are also valid on other equivalent methods.

Imaging Method in Time Domain for Bistatic Forward-Looking Radar in Short Range Application (근거리 Bistatic 전방 관측 레이다의 시간 영역 영상화 기법)

  • Sun, Sun-Gu;Cho, Byung-Lae;Lee, Jung-Soo;Park, Gyu-Churl;Ha, Jong-Soo;Han, Seung-Hoon
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.11
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    • pp.1054-1062
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    • 2011
  • This study describes the time domain imaging algorithm which can be well applied to short-range UWB(ultra wideband) bistatic radar. In the imaging method of SAR technology, the frequency domain method is well applied to the areas which satisfy far-field condition. However in the near-field environment, the image quality is not good due to phase error. However back-projection method based on time domain is well applied to short-range imaging radar. Meanwhile because its processing time is very long, real time-processing is very difficult. To resolve this problem FFBP(Fast Factorized Back-Projection) was proposed. Using the raw data gathered on field we implemented back-projection and FFBP method. Then image quality and processing time were analyzed using these methods.

Effectiveness of the Modified Position of Scapular AP Projection (견갑골 전후방향 검사 시 변형된 자세의 유용성 평가)

  • Huh, Jae;Lee, Seung-Chul;Park, Jung-Hoon;Kim, Kwang-Soo;Lee, Kwan-Sup
    • Korean Journal of Digital Imaging in Medicine
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    • v.15 no.2
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    • pp.7-11
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    • 2013
  • Purpose: This study was to evaluate effectiveness of the modified position in scapular AP (anteriopo-sterior) projection. Materials and Methods: From June 2012 to July 2013, scapular AP projection was examined in 108 patients by use of conventional method and in 40 patients by use of modified method. We compared between conventional method and modified method following variables including sex, age, height, weight, and BMI. We measured and compared distance between lateral border of the scapular and the rib to confirm the separation of the scapular from the lung fields including the ribs. Results: The scapular AP projection was technically successful in all patients. There was no significant difference in patient characteristics including sex, age, height, weight, and BMI between conventional method and modified method. The mean distance between lateral border of the scapular and rib in conventional method and modified method was 15.09 mm and 26.33 mm, respectively. Modified method was significantly increased the distance between lateral border of the scapular and rib compared with conventional method (P < .01). Conclusion: The modified position in scapular AP projection was effective method to separate between the scapular and lung fields including the ribs compared with conventional position of scapular AP projection.

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An Efficient Perspective Projection using $\textrm{VolumePro}^{TM}$ Hardware (볼륨프로 하드웨어를 이용한 효율적인 투시투영 방법)

  • 임석현;신병석
    • Journal of KIISE:Computer Systems and Theory
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    • v.31 no.3_4
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    • pp.195-203
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    • 2004
  • VolumePro is a real-time volume rendering hardware for consumer PCs. However it cannot be used for the applications requiring perspective projection such as virtual endoscopy since it provides only orthographic projection. Several methods have been presented to approximate perspective projection by decomposing a volume into slabs and applying successive parallel projection to thou. But it takes a lot of time since the entire region of every slab should be processed, which does not contribute to final image. In this paper, we propose an efficient perspective projection method that makes the use of several sub-volumes with cropping feature of VolumePro. It reduces the rendering time in comparison to slab-based method without image quality deterioration since it processes only the parts contained in the view frustum.

Text line separation in handwritten address image using partial projection technique (부분 투영기법을 이용한 필기체 주소 영상에서의 문자열 분리)

  • 정선화;남윤석
    • Proceedings of the IEEK Conference
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    • 2003.11a
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    • pp.31-34
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    • 2003
  • In this paper, we describe a method for separating text lines in handwritten Korean address images. The most remarkable feature of the proposed method is to use a modified projection technique. named a partial projection technique. A projection based text line separation method which projects the whole address image in horizontal direction to find split points for text line separation cannot avoid failing separation in case of images with a little skew or overlap between vertically neighboring text lines. To overcome this problem, we have introduced a partial projection technique which splits an address image into a few partial address images to be equal width and then project them each horizontally. The experiment done with 989 handwritten Korean address images extracted from live mails shows the superiority of the proposed method. The correct text-line separation rate fir the testing images was about 91.5%.

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