• Title/Summary/Keyword: perspective on angle

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The concept of the angle presented in the middle school mathematics textbooks (중학교 수학교과서에 제시된 각 개념 제시 양상)

  • Kim, Soo mi;Heo, Hae ja
    • The Mathematical Education
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    • v.61 no.2
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    • pp.305-322
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    • 2022
  • Angle has a variety of aspects, such as figure, measurement, and rotation, but is mainly introduced from a figure perspective and a quantitative perspective of the angle is also partially experienced in the elementary mathematics textbooks. The purpose of this study was to examine how the angle concept introduction and development pattern in elementary school mathematics textbooks are linked or changed in middle school mathematics textbooks, and based on this, was to get the direction of writing math textbooks and implications for guidance. To this end, 57 math textbooks for the first grade of middle school were collected from the first to the 2015 revised curriculum. As a result of the study, it was found that middle school textbooks had a greater dynamic aspect of each than elementary school textbooks, and the proportion of quantitative attributes of angle was higher in addition to qualitative and relational attributes. In other words, the concept of angle in middle school textbooks is presented in a more multifaceted and complex form than in elementary school textbooks. Finally, matters that require consensus within elementary, secondary, and secondary schools were also proposed, such as the use of visual expression or symbol, such as the use of arrows and dots, and the use of mathematical terms such as vertex of angle and side of angle.

A Study on Marker-based Detection Method of Object Position using Perspective Projection

  • Park, Minjoo;Jang, Kyung-Sik
    • Journal of information and communication convergence engineering
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    • v.20 no.1
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    • pp.65-72
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    • 2022
  • With the mark of the fourth industrial revolution, the smart factory is evolving into a new future manufacturing plant. As a human-machine-interactive tool, augmented reality (AR) helps workers acquire the proficiency needed in smart factories. The valuable data displayed on the AR device must be delivered intuitively to users. Current AR applications used in smart factories lack user movement calibration, and visual fiducial markers for position correction are detected only nearby. This paper demonstrates a marker-based object detection using perspective projection to adjust augmented content while maintaining the user's original perspective with displacement. A new angle, location, and scaling values for the AR content can be calculated by comparing equivalent marker positions in two images. Two experiments were conducted to verify the implementation of the algorithm and its practicality in the smart factory. The markers were well-detected in both experiments, and the applicability in smart factories was verified by presenting appropriate displacement values for AR contents according to various movements.

A Study on the Transition of the Perspective connected with Visual Modality (시각양식과 관련한 투시도법의 변천에 관한 연구)

  • 곽기표
    • Korean Institute of Interior Design Journal
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    • no.38
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    • pp.48-56
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    • 2003
  • This study is purposed to find the transition of the perspective connected with visual modality. The perspective based on Greek optics and euclidean geometry and rediscovered in Renaissance represents the object according to the particular moment and the point of view, is a principal fact which affect architecture, the form of a city and the spatial organization and symbolizes an ideal of the times. It embodied perception which treats the space rationally on the basis of realism and became visual modality based on the separation of the seeing subject and the world of the object. The point of view became one with the vanishing point which made up the shape and after Renaissance for four hundred years a straight line, a right angle and a circle got to be favorite geometrical choices in architecture. A fixed point of view of the subject is getting to change and break up fundamentally by the new visual technologies of the modem times.

The perspective on humans in a view of Oriental Medicines - discussion based mainly on Dongeuibogam - (한의학적(韓醫學的) 인간관(人間觀) -『동의보감(東醫寶鑑)』을 중심으로-)

  • Park, Sung Kyu;Cha, Wung-Seok;Kim, Nam Il
    • The Journal of Korean Medical History
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    • v.21 no.2
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    • pp.13-28
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    • 2008
  • Medical Science in general is a study dedicated to human. It is important to understand how human is being seen in medical science. The difference of this perspective among various medical science in different parts of the world shows the difference in ways of understanding human, and furthermore, difference in ways of understanding diseases. On the other side, Oriental Medicines tends to perceive human as a whole. Heo Joon's perspective on human is elaborated in his book, Dongeuibogam. The foundation of this perspective is found is the Thesis of Four Generals and Five Constants, Neijing. There are many discussions in the Thesis of Four Generals and Five Constants, which include the thesis of correspondence between nature and human: which define the relationship between human and nature in terms of four generals and five constants, and the thesis of xing and color: which offers the tool of making diagnosis on Four Generals and Five Constants, since xing and color designates the result of Four Generals and Five Constants. Other methods are also merely ways of expressing Four Generals and Five Constants in different angle. After all, the perspective of human shown by Heo Joon can be explained in one word as the thesis of Four Generals and Five Constants, and the principles of its theory, which are the thesis of correspondence between nature and human and the thesis of xing and color are also nothing more than a tool of underatanding Four Generals and Five Constants more efficiently.

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Experimental study on the influence of heating surface inclination angle on heat transfer and CHF performance for pool boiling

  • Wang, Chenglong;Li, Panxiao;Zhang, Dalin;Tian, Wenxi;Qiu, Suizheng;Su, G.H.;Deng, Jian
    • Nuclear Engineering and Technology
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    • v.54 no.1
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    • pp.61-71
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    • 2022
  • Pool boiling heat transfer is widely applied in nuclear engineering fields. The influence of heating surface orientation on the pool boiling heat transfer has received extensive attention. In this study, the heating surface with different roughness was adopted to conduct pool boiling experiments at different inclination angles. Based on the boiling curves and bubble images, the effects of inclination angle on the pool boiling heat transfer and critical heat flux were analyzed. When the inclination angle was bigger than 90°, the bubble size increased with the increase of inclination angle. Both the bubble departure frequency and critical heat flux decreased as the inclination angle increased. The existing theoretical models about pool boiling heat transfer and critical heat flux were compared. From the perspective of bubble agitation model and Hot/Dry spot model, the experimental phenomena could be explained reasonably. The enlargement of bubble not only could enhance the agitation of nearby liquid but also would cause the bubble to stay longer on the heating surface. Consequently, the effect of inclination angle on the pool boiling heat transfer was not conspicuous. With the increase of inclination angle, the rewetting of heating surface became much more difficult. It has negative effect on the critical heat flux. This work provides experimental data basis for heat transfer and CHF performance of pool boiling.

An International Comparison study in Mathematics Curriculum - Contents for Angle among the Korea, Singapore U.K., Australia and U.S. (수학 교육과정 국제 비교·분석 연구 - 한국, 싱가포르, 영국, 호주, 미국의 각 관련 내용 중심으로)

  • Choi, Eun;Kim, Seo Yeong;Kwon, Oh Nam
    • Communications of Mathematical Education
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    • v.33 no.3
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    • pp.295-317
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    • 2019
  • Angle concept is widely used in all mathematics curriculums and is a basic concept in geometric domain. Since angle have a multifaceted and affect subsequent learning, it is necessary for students to understand various angle concepts. In this study, Singapore, U.K., Australia, and U.S. are selected as comparable countries to examine the angle-related contents and learning process that appear in the curriculum as a whole, and then look at the perspectives and the size aspects of angle in detail and give implications to the Korean curriculum based on them. According to the analysis, the four countries except Korea, supplement angle, complement angle, angles on a straight line, angles at a point, and finding angle were explicitly covered in the curriculum. And most countries gradually covered angle-related contents over several years, compared to Korea which intensively studied in a particular school year. In common, definition of angle was described as static, measurement of angle was described as dynamic. But in Korean curriculum, dynamic views on angles are described later and less compared to other countries, and range of angle size was narrower than in other countries'. From this comparison, this study suggest to discuss how to place and develop various contents of characteristics of angle in curriculum, address the angle using both static and dynamic perspectives, and introduce the angle size as the amount of rotation to learn the reflex angle, $180^{\circ}$, $360^{\circ}$ angle.

Research on the Expression Features of Naked-eye 3D Effect of LED Screen Based on Optical Illusion Art

  • Fu, Linwei;Zhou, Jiani;Tae Soo, Yun
    • International Journal of Internet, Broadcasting and Communication
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    • v.15 no.1
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    • pp.126-139
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    • 2023
  • At present, naked-eye 3D appears more and more commonly on the facades of urban buildings. It brings an incredible visual experience to the audience by simulating the natural 3D 3D space effect. At the same time, it also creates enormous commercial value for city publicity and commercial advertisements. There is much research on naked-eye 3D visual effects, but for right-angle LED screens. Right-angle LED screen's brand-new expression method that has only become popular in recent years, how to convey a realistic naked-eye 3D effect through two LED screens combined at right angles has become a problem worth exploring. To explore the whole design ideas and production process of the naked-eye 3D impact of the right-angle LED screen, this paper is a preliminary study aimed at understanding the performance principle and expression features. Before the case analysis, first, understand the standard virtual 3D space construction techniques. Combining it with the optical illusion phenomenon, according to the expression principle of the naked-eye 3D effect of the right-angle LED screen, it can be summarized into seven expressions: Shadow, Color contrast, Background structure line, Magnify object, Object out of bounds, Object floating, Fusion of picture and background. By analyzing the optical illusion phenomenon used in the case, we summarized the main performance characteristics of the naked eye 3D effect. The emergence of right-angle LED screens breaks the limitation of a single plane of optical illusion art, perfectly combines building facades with naked-eye 3D visual effects, and provides designers with a brand-new creative platform. Understanding its production principles and main expressive features can help designers enter this innovative platform better.

Achieving the Naked-eye 3D Effect for Right-angled LED Screen by Off-line Rendering Production Method

  • Fu Linwei;Zhou Jiani;Tae Soo Yun
    • International Journal of Internet, Broadcasting and Communication
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    • v.15 no.2
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    • pp.157-167
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    • 2023
  • As a new trend in the development of urban public spaces, the use of right-angle LED screens perfectly combines building facades with naked-eye 3D visual effects, providing designers with a brand-new creative platform. How to create a realistic naked-eye 3D effect on a right-angle LED screen and bring an immersive visual experience to the audience has become a question worth exploring. So far, production companies have yet to announce the relevant design ideas and complete production methods. In order to explore the production principle and production process of the naked-eye 3D effect of the right-angle LED screen, we summarize the basic production principle of the naked-eye 3D impact of the right-angle LED screen through case analysis. Based on understanding the production principle, the actual case production test was carried out, and a complete production process of the naked eye 3D visual effect of the right-angle led screen was tried to be provided by off-line rendering. For the problem of how to deal with image deformation, we provide two production methods: post-production software correction and UV mapping. Among them, the UV mapping method is more efficient and convenient. Referring to this paper can help designers quickly understand the production principle of the naked eye 3D effect of right-angle LED screens. The production process proposed in this paper can provide a reference for production method for related project producers.

A Study of Selecting Sequential Viewpoint and Examining the Effectiveness of Omni-directional Angle Image Information in Grasping the Characteristics of Landscape (경관 특성 파악에 있어서의 시퀀스적 시점장 선정과 전방위 화상정보의 유효성 검증에 관한 연구)

  • Kim, Heung Man;Lee, In Hee
    • KIEAE Journal
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    • v.9 no.2
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    • pp.81-90
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    • 2009
  • Relating to grasping sequential landscape characteristics in consideration of the behavioral characteristics of the subject experiencing visual perception, this study was made on the subject of main walking line section for visitors of three treasures of Buddhist temples. Especially, as a method of obtaining data for grasping sequential visual perception landscape, the researcher employed [momentum sequential viewpoint setup] according to [the interval of pointers arbitrarily] and fisheye-lens-camera photography using the obtained omni-directional angle visual perception information. As a result, in terms of viewpoint selection, factors like approach road form, change in circulation axis, change in the ground surface level, appearance of objects, etc. were verified to make effect, and among these, approach road form and circulation axis change turned out to be the greatest influences. In addition, as a result of reviewing the effectiveness via the subjects, for the sake of qualitative evaluation of landscape components using the VR picture image obtained in the process of acquiring omni-directional angle visual perception information, a positive result over certain values was earned in terms of panoramic vision, scene reproduction, three-dimensional perspective, etc. This convinces us of the possibility to activate the qualitative evaluation of omni-directional angle picture information and the study of landscape through it henceforth.

A self-localization algorithm for a mobile robot using perspective invariant

  • Roh, Kyoung-Sig;Lee, Wang-Heon;Kweon, In-So
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.920-923
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    • 1996
  • This paper presents a new algorithm for the self-localization of a mobile robot using perspective invariant(Cross Ratio). Most of conventional model-based self-localization methods have some problems that data structure building, map updating and matching processes are very complex. Use of the simple cross ratio can be effective to the above problems. The algorithm is based on two basic assumptions that the ground plane is flat and two parallel walls are available. Also it is assumed that an environmental map is available for matching between the scene and the model. To extract an accurate steering angle for a mobile robot, we take advantage of geometric features such as vanishing points(V.P). Point features for computing cross ratios are extracted robustly using a vanishing point and the intersection points between floor and the vertical lines of door frames. The robustness and feasibility of our algorithms have been demonstrated through experiments in indoor environments using an indoor mobile robot, KASIRI-II(KAist SImple Roving Intelligence).

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