• Title/Summary/Keyword: 중심사영

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A Study of Mathematically Gifted Middle School Students' of Mathematical Thinking and the Teacher's Role in Teaching and Learning about the Central Projection and Perspective Drawing (중심사영과 투시도의 작도 학습에서 나타나는 중학교 수학영재들의 수학적 사고특성과 교사의 역할)

  • Lew, Hee Chan;Kang, Kyung Min
    • School Mathematics
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    • v.15 no.4
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    • pp.921-940
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    • 2013
  • This study is to analyze mathematically gifted middle school students' characteristics of mathematical thinking and the teacher's role in teaching and learning about the central projection and perspective drawing. And it will help to develop teaching and learning materials for the mathematically gifted. The result of this study is as followings : mathematically gifted middle school students show the various characteristics of mathematical thinking like as intuitive insight, generalization, logical thinking & mathematical abstraction and so on, and the teacher plays roles as instructional designer, facilitator, technical assistant and counselor.

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Comparison of Variable Importance Measures in Tree-based Classification (나무구조의 분류분석에서 변수 중요도에 대한 고찰)

  • Kim, Na-Young;Lee, Eun-Kyung
    • The Korean Journal of Applied Statistics
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    • v.27 no.5
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    • pp.717-729
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    • 2014
  • Projection pursuit classification tree uses a 1-dimensional projection with the view of the most separating classes in each node. These projection coefficients contain information distinguishing two groups of classes from each other and can be used to calculate the importance measure of classification in each variable. This paper reviews the variable importance measure with increasing interest in line with growing data size. We compared the performances of projection pursuit classification tree with those of classification and regression tree(CART) and random forest. Projection pursuit classification tree are found to produce better performance in most cases, particularly with highly correlated variables. The importance measure of projection pursuit classification tree performs slightly better than the importance measure of random forest.

Simplified projective transform for reconstruction of cylindrical panorama (실린더 파노라마 영상의 재구성을 위한 단순화된 사영 변환)

  • Lee Kang-Ho
    • Journal of the Korea Society of Computer and Information
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    • v.11 no.2 s.40
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    • pp.169-175
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    • 2006
  • In this paper we propose a method of reconstruction of cylindrical panorama using simplified projective transform from the panning image on the fixed camera. For the practical construction of cylindrical panorama we consider the rotation of the camera on the Y-axis only, even though considering the rotation components on all of the X,Y,Z axis on three-dimensional space for projective transform between general panoramas. The restriction mentioned above simplifies projective transform with existing 8 degrees of freedom into the one with 4 degrees of freedom. In the results, overall computation for projective transform can be decreased to the great extents in quantify, because the number of corresponding points required for inducing the transforming formula is gone down by half. Proposed algorithm from the simulation carried out in this paper shows similar performance and decreased computational quantity compared with existing algorithm. Also, it shows the construction of cylindrical panorama using simplified projective transform.

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A Study on Gwan-Rye Costumes (관예복식고 -사영과 라장을 중심으로-)

  • Lee Kyung Ja
    • Journal of the Korean Society of Clothing and Textiles
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    • v.2 no.2
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    • pp.269-276
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    • 1978
  • This thesis studied the costumes of Gwan-Rye(관예). the lowest ranking officials of Yi-Dynasty. It researched the written materials and compared it with relics of Gwan-Rye costumes. The gists of the result are; 1) The Koryo tradition of Gwan-Rye costumes continued until the early days of Yi-Dynasty. 2) The Gwan-Rye costumes can be classified into two styles. One is Sa-Ryung(사영) style, which consisted of Dan-Ryung(단령) robe and Jo-Geon(조시) as head gear. Na-Jang(라장) style. the another, consisted of Dan-Ryung. Ban-Bi-Ui(반비의) and Jo-Geon. 3) These styles changed around the days of Yeon-San(연산), the 10th King of the Dynasty. The Na-Jang of later days wore Cheop-Ri(첩리) robe instead of Dan-Ryung. And the Sa-Ryung costume was devided into three different styles. They are (1) Gat(립)- Cheop-Ri (2) Bung-Geo-Ji(단립)-Chang-Ui(창의) (3) Gat- Kwoe-Ja(쾌자) styles.

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사영기하학의 성립과 그 기초 - 카를 크리스티안 폰 슈타우트(Karl Christian von Staudt, 1798-1867)의 이론을 중심으로

  • 한경혜
    • Journal for History of Mathematics
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    • v.15 no.1
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    • pp.1-14
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    • 2002
  • This paper treats the history of the fundament of projective geometry Especially we introduce the essence of the framework of Karl Chirstian von Staudt's ‘Geometrie der Lage’. Von Staudt used axiomatical method to bum the system of the projective geometry, and proved the fundamental theorem of projective geometry. And he handled imaginary elements (or the first time in synthetic projective geometry.

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Design of Teaching Unit Based on Lakatos' Perspective (Lakatos의 관점을 반영한 수학영재 대상 교수단원 개발연구 -데자르그 정리와 무한원점을 중심으로-)

  • Lee, Ji-Hyun
    • Journal for History of Mathematics
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    • v.25 no.2
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    • pp.57-70
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    • 2012
  • In this study, a teaching unit for mathematically gifted students is designed, based on Lakatos's perspective. First, students appreciated the exceptions of Desargue theorem and introduced the point at infinity to remove the exceptions. Finally students were guided to realize that the exceptions and the general case of Desargue theorem have equal status. Exploring Desargue theorem with other viewpoints, gifted students experienced the growth of mathematical knowledge due to exceptions of the theorem.

Real-time Motion Generation of Virtual Character using the Stereo Images (스테레오 영상을 이용한 가상 캐릭터의 실시간 동작 생성)

  • Lee, Ran-Hee;Kim, Sung-En;Park, Chang-Jun;Lee, In-Ho
    • Proceedings of the Korea Information Processing Society Conference
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    • 2002.11a
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    • pp.31-34
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    • 2002
  • 본 논문에서는 2 대의 카메라로부터 입력된 스테레오 영상을 이용하여 가상캐릭터의 동작을 실시간으로 생성하는 방법에 대해 기술한다. 이 시스템은 동작자의 움직임을 캡쳐하기 위해 동작자의 좌, 우 전방에 동기화된 2 대의 컬러 CCD 카메라를 위치시킨다. 카메라로부터 입력된 스테레오 영상을 분석하여 신체의 중심이 되는 루트와 머리, 손, 발과 같은 end-effector의 2차원 특징점을 추출하고, 추출된 특징점들은 카메라의 사영행렬과 추적 알고리즘을 통해 3차원 위치를 생성한다. 생성된 루트와 end-effector 의 3 차원 위치정보는 노이즈 제거를 위한 필터링을 거친 후 역운동학 알고리듬에 적용하고, 인체 관절의 해부학적인 제약조건과 관절간의 상호 연관성 및 전 후 프레임간의 부드러운 연결 동작 생성을 고려하여 중간관절의 위치를 정밀하게 계산한다. 중간관절의 위치를 생성하므로 서 임의 동작자의 움직임에 대한 모든 관절의 정보를 획득할 수 있으며, 획득된 동작 데이터를 가상 캐릭터에 적용하므로 서 캐릭터의 움직임을 실시간으로 생성할 수 있다.

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Hand Tracking Based Projection Mapping System and Applications (손 위치 트래킹 기반의 프로젝션 매핑 시스템 및 응용)

  • Lee, Cheongun;Park, Sanghun
    • Journal of the Korea Computer Graphics Society
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    • v.22 no.4
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    • pp.1-9
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    • 2016
  • In this paper we present a projection mapping system onto human's moving hand by a projector as information delivery media and Kinect to recognize hand motion. Most traditional projection mapping techniques project a variety of images onto stationary objects, however, our system provides new user experience by projecting images onto the center of the moving palm. We explain development process of the system, and production of content as applications on our system. We propose hardware organization and development process of open software architecture based on object oriented programming approach. For stable image projection, we describe a device calibration method between the projector and Kinect in three dimensional space, and a denoising technique to minimize artifacts from Kinect coordinates vibration and unstable hand tremor.

A Real-time Augmented Reality System using Hand Geometric Characteristics based on Computer Vision (손의 기하학적인 특성을 적용한 실시간 비전 기반 증강현실 시스템)

  • Choi, Hee-Sun;Jung, Da-Un;Choi, Jong-Soo
    • Journal of Korea Multimedia Society
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    • v.15 no.3
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    • pp.323-335
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    • 2012
  • In this paper, we propose an AR(augmented reality) system using user's bare hand based on computer vision. It is important for registering a virtual object on the real input image to detect and track correct feature points. The AR systems with markers are stable but they can not register the virtual object on an acquired image when the marker goes out of a range of the camera. There is a tendency to give users inconvenient environment which is limited to control a virtual object. On the other hand, our system detects fingertips as fiducial features using adaptive ellipse fitting method considering the geometric characteristics of hand. It registers the virtual object stably by getting movement of fingertips with determining the shortest distance from a palm center. We verified that the accuracy of fingertip detection over 82.0% and fingertip ordering and tracking have just 1.8% and 2.0% errors for each step. We proved that this system can replace the marker system by tacking a camera projection matrix effectively in the view of stable augmentation of virtual object.