• Title/Summary/Keyword: Linear Perspective

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An Analysis of Teaching and Learning Methods Focusing on the Representation-Shift of the Functional Context (일차함수 활용문제의 해결을 위한 강의식, 모델링, 과제기반 표현변환 학습의 교수학적 효과 분석)

  • 이종희;김부미
    • Journal of Educational Research in Mathematics
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    • v.14 no.1
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    • pp.39-69
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    • 2004
  • This paper investigates the teaching and learning of Linear function relating functional contexts and suggests the improved methods of representation-shift through this analysis. The methods emphasize the link between students' preacquired knowledge of mathematical representations and the way of using those. This methods are explanatory teaching, teaching and teaming based on modelling perspectives or tasks (interpretation, prediction, translation and scaling). We categorize the 8th grade middle school students' errors on the linear function relating real contexts and make a comparative study of the error-remedial effects and the teaching and teaming methods. We present the results of a study in which representation-shift methods based on modelling perspectives and tasks are more effective in terms of flexible connection of representations and error remediation. Also, We describe how students used modelling perspective-taking to explain and justify their conceptual models, to assess the quality of their models and to make connection to other mathematical representation during the problem solving focusing on the students' self-diagnosis.

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Capability of empathy and resilience among healthcare college students (보건계열 대학생의 공감 능력과 회복 탄력성의 관계)

  • Park, Jung-Hee;Yoon, Byoung-Gil
    • The Korean Journal of Emergency Medical Services
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    • v.22 no.3
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    • pp.117-129
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    • 2018
  • Purpose: The purpose of this study was to assess empathy and resilience among healthcare college students. Methods: A self-reported questionnaire was filled out by healthcare college students from August 13 to October 13, 2018. Mean and standard deviation, t-test, analysis of variance, Pearson's correlation coefficients, and linear regression were used to analyze the data. Results: The average score for perspective taking was 3.57(${\pm}0.48$), fantasy 3.39(${\pm}0.59$), empathic concern 3.57(${\pm}0.39$), personal distress($3.02{\pm}0.48$), and resilience $3.37{\pm}$(0.41). There was a significant positive correlation between perspective taking (r=.388, p<.001) and resilience. Factors influencing resilience were perspective taking fantasy(${\beta}=.219$, p<.001), empathic concern(${\beta}=.207$, p=.004), and personal distress(${\beta}=-.303$, p<.001). Conclusion: More studies are needed to develop the empathy improvement program for healthcare college students.

A Study on the Non-representational Architecture in Comparing between Perspectiva artificialis and Digital Modelling Method (투시도법과 디지털 표현방식의 비교를 통한 비표상적 건축에 관한 연구)

  • Jung, In-Ha
    • Journal of architectural history
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    • v.12 no.2 s.34
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    • pp.21-39
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    • 2003
  • After a digital modelling method has been introduced into architectural design in 1990s, a radical change was taken place in generating architectural form and space. Many architects have a view that digital modelling method is the most Important invention in the visual presentation since the moment that architect Philippo Brunelleschi experimented initially the linear perspective. Therefore, in this study, comparing between perspectiva artificialis and digital modelling method, we clarify 1) the relationship of architectural design and presentation method, 2) the practical and philosophical background inherent in digital modelling method which played key role in developing non-representational architecture, 3) and the principles of non-representational architecture like diagram, folding, and trace.

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3D Reconstruction using three vanishing points from a single image

  • Yoon, Yong-In;Im, Jang-Hwan;Kim, Dae-Hyun;Park, Jong-Soo
    • Proceedings of the IEEK Conference
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    • 2002.07b
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    • pp.1145-1148
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    • 2002
  • This paper presents a new method which is calculated to use only three vanishing points in order to compute the dimensions of object and its pose from a single image of perspective projection taken by a camera and the problem of recovering 3D models from three vanishing points of box scene. Our approach is to compute only three vanishing points without this information such as the focal length, rotation matrix, and translation from images in the case of perspective projection. We assume that the object can be modeled as a linear function of a dimension vector ν. The input of reconstruction is a set of correspondences between features in the model and features in the image. To minimize each the dimensions of the parameterized models, this reconstruction of optimization can be solved by the standard nonlinear optimization techniques with a multi-start method which generates multiple starting points for the optimizer by sampling the parameter space uniformly.

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Incorporation of Scene Geometry in Least Squares Correlation Matching for DEM Generation from Linear Pushbroom Images

  • Kim, Tae-Jung;Yoon, Tae-Hun;Lee, Heung-Kyu
    • Proceedings of the KSRS Conference
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    • 1999.11a
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    • pp.182-187
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    • 1999
  • Stereo matching is one of the most crucial parts in DEM generation. Naive stereo matching algorithms often create many holes and blunders in a DEM and therefore a carefully designed strategy must be employed to guide stereo matching algorithms to produce “good” 3D information. In this paper, we describe one such a strategy designed by the use of scene geometry, in particular, the epipolarity for generation of a DEM from linear pushbroom images. The epipolarity for perspective images is a well-known property, i.e., in a stereo image pair, a point in the reference image will map to a line in the search image uniquely defined by sensor models of the image pair. This concept has been utilized in stereo matching by applying epipolar resampling prior to matching. However, the epipolar matching for linear pushbroom images is rather complicated. It was found that the epipolarity can only be described by a Hyperbola- shaped curve and that epipolar resampling cannot be applied to linear pushbroom images. Instead, we have developed an algorithm of incorporating such epipolarity directly in least squares correlation matching. Experiments showed that this approach could improve the quality of a DEM.

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Epipolar Resampling for High Resolution Satellite Imagery Based on Parallel Projection (평행투영 기반의 고해상도 위성영상 에피폴라 재배열)

  • Noh, Myoung-Jong;Cho, Woo-Sug;Chang, Hwi-Jeong;Jeong, Ji-Yeon
    • Journal of Korean Society for Geospatial Information Science
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    • v.15 no.4
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    • pp.81-88
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    • 2007
  • The geometry of satellite image captured by linear CCD sensor is different from that of frame camera image. The fact that the exterior orientation parameters for satellite image with linear CCD sensor varies from scan line by scan line, causes the difference of image geometry between frame and linear CCD sensor. Therefore, we need the epipolar geometry for linear CCD image which differs from that of frame camera image. In this paper, we proposed a method of resampling linear CCD satellite image in epipolar geometry under the assumption that image is not formed in perspective projection but in parallel projection, and the sensor model is a 2D affine sensor model based on parallel projection. For the experiment, IKONOS stereo images, which are high resolution linear CCD images, were used and tested. As results, the spatial accuracy of 2D affine sensor model is investigated and the accuracy of epipolar resampled image with RFM was presented.

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Fifth Graders' Understanding of Variables from a Generalized Arithmetic and a Functional Perspectives (초등학교 5학년 학생들의 일반화된 산술 관점과 함수적 관점에서의 변수에 대한 이해)

  • Pang, JeongSuk;Kim, Leena;Gwak, EunAe
    • Communications of Mathematical Education
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    • v.37 no.3
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    • pp.419-442
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    • 2023
  • This study investigated fifth graders' understanding of variables from a generalized arithmetic and a functional perspectives of early algebra. Specifically, regarding a generalized perspective, we included the property of 1, the commutative property of addition, the associative property of multiplication, and a problem context with indeterminate quantities. Regarding the functional perspective, we covered additive, multiplicative, squaring, and linear relationships. A total of 246 students from 11 schools participated in this study. The results showed that most students could find specific values for variables and understood that equations involving variables could be rewritten using different symbols. However, they struggled to generalize problem situations involving indeterminate quantities to equations with variables. They also tended to think that variables used in representing the property of 1 and the commutative property of addition could only be natural numbers, and about 25% of the students thought that variables were fixed to a single number. Based on these findings, this paper suggests implications for elementary school students' understanding and teaching of variables.

Multi-perspective of Korean Folk Paintings (민화의 다시점을 활용한 애니메이션 표현기법 연구)

  • Kim, Do-Yeon
    • Cartoon and Animation Studies
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    • s.9
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    • pp.112-126
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    • 2005
  • This study investigates how 'multi-perspective' can be utilized in animation. For this goal, 1 used the traditional techniques of Korean folk paintings called 'Minhwa.' Most 'Minhwa' works, employ 'multi-perspectives', instead of linear perspective of the Western tradition that has been only taught to students under the formal education system. In Minhwa parts of reality are not only stylized but also fragmented and combined within the same frame. Other common techniques of 'Minhwa' include frontal view, bird's eye view, and inverse-perspective, which are of ien combined in one single work. The purpose of this study is to develop a working principle and practically apply it to , an animation piece based on the Korean folktale of the same title. In doing so, I have proposed a way to reconstruct and revitalize the traditional art form in the age of digital technology and have concluded that 'Multi-perspective' in 'Minhwa' can be utilized in other contents such as animation.'Multi-perspective' in 'Minhwa' is a rich source that has numerous cultural applications.

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Constant-level luffing and time optimal control of a JIB crane (JIB크레인의 Constant-level luffing과 시간최적제어)

  • 최경배;홍금식;이만형
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1788-1791
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    • 1997
  • In this paper constant-level luffing and time optimal control of a JIB crane is investigated. The crane is assumed to have only the derricking motion. the analysis of plance kinematics provides the relationship between the boom angle and the main hosit motor angle for constant-level luffing. The dynamic equations for the crane are very nonlimear, and therefore they are linearized for the application of the linear control theory. The time optimal control in the perspective of no-sway at the end of boom stroke is investigated.

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Filtering Theory (필터링 이론)

  • 송택렬
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.6
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    • pp.413-419
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    • 2003
  • The objective of this paper is to survey and put in perspective the existing methods of dynamic filter development. This includes theories and practices for linear and nonlinear filters, multiple model filters, and data association methods for tracking in multitarget environment. The presentation of this paper is motivated by recent surge of interest in the area of designing feedback control systems with reduced number of sensors, detection and identification of abrupt changes, and multitarget tracking in clutter. It is hoped to be useful in view of the need to take a grasp of existing techniques before using them in practice and developing new techniques.