• Title/Summary/Keyword: 2-dimensional transformation

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The Effects of Cooperative Learning on Children's Understanding of Geometry (협동학습활동이 유아 기하 학습에 미치는 영향)

  • Kwon, Young-Re;Lee, Kyung-Jin;Shin, Ok-Ja
    • Korean Journal of Child Studies
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    • v.32 no.2
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    • pp.71-85
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    • 2011
  • This study was carried out in order to better understand how cooperative learning effects the geometric understanding of young children. The geometry tasks used in the study included the geometric relationship between two dimensional shapes and three dimensional shapes, coordination, symmetry and transformation visualization and spacial reasoning. The subjects were composed of children aged five years and were taken from two kindergartens in a relatively new city close to Seoul. The experimental group of children the comparative learning in geometry. The comparative group of children were enrolled in a kindergarten that uses an the intergrated curriculum. The results indicated that cooperative learning impacted positively on the children's understanding of geometry. The specific results are as follows : The scores that the experimental acquired were higher in terms of p < .001 level. than the scores of the comparative group studying the geometric relationships between two dimensional shapes and three dimensional shapes, coordination, symmetry and transformation visualization & spacial reasoning.

Two-dimensional Automatic Transformation Template Matching for Image Recognition (영상 인식을 위한 2차원 자동 변형 템플릿 매칭)

  • Han, Young-Mo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.9
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    • pp.1-6
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    • 2019
  • One method for image recognition is template matching. In conventional template matching, the block matching algorithm (BMA) is performed while changing the two-dimensional translational displacement of the template within a given matching image. The template size and shape do not change during the BMA. Since only two-dimensional translational displacement is considered, the success rate decreases if the size and direction of the object do not match in the template and the matching image. In this paper, a variable is added to adjust the two-dimensional direction and size of the template, and the optimal value of the variable is automatically calculated in the block corresponding to each two-dimensional translational displacement. Using the calculated optimal value, the template is automatically transformed into an optimal template for each block. The matching error value of each block is then calculated based on the automatically deformed template. Therefore, a more stable result can be obtained for the difference in direction and size. For ease of use, this study focuses on designing the algorithm in a closed form that does not require additional information beyond the template image, such as distance information.

Characteristics of Aragonite From Underwater and The Cytotoxicity, Cell Division Disturbance and Induction of Morphological Transformation on BALB/3T3 Cells (일부 지하수에서 얻은 Aragonite의 특성과 BALB/3T3 세포에 대한 세포독성, 세포분열장애 및 형태학적 변이유발)

  • 홍윤철;이훈재
    • Environmental Mutagens and Carcinogens
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    • v.16 no.1
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    • pp.35-42
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    • 1996
  • Aragonite is one of polymorphs of calcium carbonate of which main form is calcite. We found that white precipitate is formed in much amount by boiling underwater of Inchon, Korea and confirmed that it is aragonite. This study is to evaluate the dimensional characteristics, solubility, acid resistance of aragonite and the cytotoxicity, cell division disturbance and cell transforming ability of it on BALB/3T3 cells. The results are as follows: Lengths of the aragonite were reduced to the 72.7% and 22.7% respectively after 5 months and 7 months of intrapleurai injection to the Sprague-Dawley rat. Strong acid such as 1M HCl dissolved the aragonite instantly but weaker acid pH 2.0 or more could not dissolved aragonite easily. The result of cell growth inhibition showed that cell numbers were decreased as log-doses of treatment of the aragonite were increased 24 hours, 48 hours, and 72 hours later. Cell plating efficiency after the aragonite treatment also showed dose-dependent decrease. Multinuclear giant cell formation was increased in the aragonite treated cells until ID$_{50}$ and after the dose the multinucleate cells were decreased, but remained much higher than negative control cells. Morphological transformation assay showed that the aragonite did not induce transformation in all treated doses.

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A Study on the Interactive Preliminary Hull Form Design by Hull Form Transformation Technique (선형변환 기법에 의한 대화식 초기 선형 설계에 관한 연구)

  • Soon-Sub Lee;Kyu-Yeul Lee;Won-Soo Kang
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.2
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    • pp.7-14
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    • 1994
  • This paper describes the development of the interactive hullform transformation program. This program has many hull transformation functions such as main particular transformation, deadrise generation, section characteristic transformation, local transformation and CB, LCB variation, etc. MBASTRANS adopted the GUI(Graphical User Interface) using the OSF/Motif based on the X-Window system and used X-PLOT and GLBAX which are 2 and 3 dimensional graphic libraries, respectively. The interface module cans generate the information of the hullform for the SIKOB package and the hydrodynamic analysis.

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A Simple Eye Gaze Correction Scheme Using 3D Affine Transformation and Image In-painting Technique

  • Ko, Eunsang;Ho, Yo-Sung
    • Journal of Multimedia Information System
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    • v.5 no.2
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    • pp.83-86
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    • 2018
  • Owing to high speed internet technologies, video conferencing systems are exploited in our home as well as work places using a laptop or a webcam. Although eye contact in the video conferencing system is significant, most systems do not support good eye contact due to improper locations of cameras. Several ideas have been proposed to solve the eye contact problem; however, some of them require complicated hardware configurations and expensive customized hardwares. In this paper, we propose a simple eye gaze correction method using the three-dimensional (3D) affine transformation. We also apply an image in-painting method to fill empty holes that are caused by round-off errors from the coordinate transformation. From experiments, we obtained visually improved results.

Design of Two - Dimensional IIR Digital Filters (2-차원 IIR 디지탈 필터의 설계)

  • Lee, Min-Ho;Park, Chong-Yeon
    • Journal of Industrial Technology
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    • v.14
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    • pp.3-17
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    • 1994
  • This paper develops a design technique for approximating nonseparable frequency characteristics by sums and products of separable transfer functions. Therefore nonseparable frequency characteristics includes the four-quadrant symmetry filters. The desired filter with half plan symmetry is obtained by shifting a low pass characteristic in the frequency domain, and by combining these shifted characteristics. Also the paper develops the technique for designing recursive and nonrecursive two dimensional digital filters by the application of a complex transformation to one dimensional low pass filter.

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SOLVABILITY OF LUIKOV'S SYSTEM OF HEAT AND MASS DIFFUSION IN ONE-DIMENSIONAL CASE

  • Bougoffa, Lazhar;Al-Jeaid, Hind K.
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.369-380
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    • 2011
  • This paper studies a boundary value problem for a linear coupled Luikov's system of heat and mass diffusion in one-dimensional case. Using an a priori estimate, we prove the uniqueness of the solution. Also, some traveling wave solutions and explicit solutions are obtained by using the transformation ${\xi}$ = x - ct and separation method respectively.

Orthogonal Grid Generation Using Linear Grid Generating Equations (선형 격자 형성 방정식을 이용한 직교 격자 형성에 관한 연구)

  • Lee S. W.;Kwon J. H.;Kwon O. J.
    • 한국전산유체공학회:학술대회논문집
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    • 2000.05a
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    • pp.99-106
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    • 2000
  • A method of two and three dimensional orthogonal grid generation with control of spacing by using the covariant Laplace equation is Presented. An important feature of the methodology is its ability to control effectively the grid spacing especially near the boundaries still maintaining good orthogonality in whole field. The method is based on the concept of decomposition of the global transformation into consecutive transformation of an approximate conformal mapping and au auxiliary orthogonal mapping to have linear and uncoupled equations. Control of cell spacing is based on the concept of reference arc length, and orthogonal correction is performed in the auxiliary domain. It is concluded that the methodology can successfully generate well controlled orthogonal grids around bodies of 2 and 3 dimensional configurations.

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Orthogonal Grid Generation Using Linear Grid Generating Equations (선형 격자 형성 방정식을 이용한 직교 격자 형성에 관한 연구)

  • Lee S. W.;Kwon J. H.;Kwon O. J.
    • Journal of computational fluids engineering
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    • v.5 no.1
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    • pp.14-21
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    • 2000
  • A method of two and three dimensional orthogonal grid generation with control of spacing by using the covariant Laplace equation is presented. An important feature of the methodology is its ability to control effectively the grid spacing especially near the boundaries still maintaining good orthogonality in whole field. The method is based on the concept of decomposition of the global transformation into consecutive transformation of an approximate conformal mapping and an auxiliary orthogonal mapping to have linear and uncoupled equations. Control of cell spacing is based on the concept of reference arc length, and orthogonal correction is peformed in the auxiliary domain. It is concluded that the methodology can successfully generate well controlled orthogonal grids around bodies of 2 and 3 dimensional configurations.

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YAMABE AND RIEMANN SOLITONS ON LORENTZIAN PARA-SASAKIAN MANIFOLDS

  • Chidananda, Shruthi;Venkatesha, Venkatesha
    • Communications of the Korean Mathematical Society
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    • v.37 no.1
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    • pp.213-228
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    • 2022
  • In the present paper, we aim to study Yamabe soliton and Riemann soliton on Lorentzian para-Sasakian manifold. First, we proved, if the scalar curvature of an 𝜂-Einstein Lorentzian para-Sasakian manifold M is constant, then either 𝜏 = n(n-1) or, 𝜏 = n-1. Also we constructed an example to justify this. Next, it is proved that, if a three dimensional Lorentzian para-Sasakian manifold admits a Yamabe soliton for V is an infinitesimal contact transformation and tr 𝜑 is constant, then the soliton is expanding. Also we proved that, suppose a 3-dimensional Lorentzian para-Sasakian manifold admits a Yamabe soliton, if tr 𝜑 is constant and scalar curvature 𝜏 is harmonic (i.e., ∆𝜏 = 0), then the soliton constant λ is always greater than zero with either 𝜏 = 2, or 𝜏 = 6, or λ = 6. Finally, we proved that, if an 𝜂-Einstein Lorentzian para-Sasakian manifold M represents a Riemann soliton for the potential vector field V has constant divergence then either, M is of constant curvature 1 or, V is a strict infinitesimal contact transformation.