• Title/Summary/Keyword: 평면과 공간의 기하학

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Cuboid가 형성하는 공간의 표상

  • Lee, Jae-Sun;Lee, Cheong-Ju;Kim, Ga-Yeon;Han, Jae-Yeong
    • Communications of Mathematical Education
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    • v.9
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    • pp.317-325
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    • 1999
  • 수식에 의한 컴퓨터 그래픽의 입력과 출력에 관한 프로그램의 개발은 수학의 역동화, 인간화, 보편화에 기여하고 있다. 현실적으로 해결해야할 문제와 수식에 의한 해답이 전부인 현재의 수학을 소프트웨어를 활용하여 그래픽 기능을 첨부하면 움직이는 수학을 가시화 할 수 있다. 컴퓨터 프로그램에 의한 수학의 실현은 수학자들 모두의 염원으로 전세계적으로 활발한 연구가 진행되고 이는 것이다. 수학의 원리와 응용성을 가미한 수학적 그래픽의 발전은 새로운 천년을 장식할 새로운 학문분야로 등장하고 있다. 기초과학의 여러 자료를 분석, 검토하여 그래픽으로 조립하는 작업은 수학적 그래픽의 힘으로 가능하며, 실험과 실습의 양상을 바꾸어 놓고 있다. 건축이나 토목 또는 전기전자 학과의 응용수학은 새로운 소프트웨어의 출현으로 컴퓨터 강의로 전환되고 있으며 수학 그 자체로 전산기능을 강화하는 방향으로 개편되고 있다. 수학 교과 내용의 전산 프로그램화와 컴퓨터 활용 수학 학습은 거부할 수 없는 시대적 요구이다. 이 연구에서는 새로운 천년의 시작은 컴퓨터 프로그램에 의한 완성된 그래픽의 연출이라는 시각에서 수식에 의한 컴퓨터 그래픽의 기본 방향을 제시하고 있다. 2차원 평면이나 3차원 공간에 이와 같은 다변수함수의 역할을 구현함으로써 다양한 그래픽을 영상화할 수 있다. 다중화면의 연출, 다단계화면의 조합, 다단계다중화면의 영상화 등은 수학에 의한 애니메이션의 기초가 된다. 평면도형의 기본동작을 화면에 구체화시키는 Table 기능을 실제로 구현한다. 연습과 실행 그리고 재구성을 반복하여 조형미를 갖춘 수학적 그래픽을 실현한다. 수학의 학습에 적용할 가치가 있는 학습조형물을 개발하고, 프로그램의 단순화에 노력한다. 미분기하학의 여러 공식을 이용하여 숨어 있는 그림을 표출하며 미분방정식의 해가 갖는 그래픽의 묘미를 형상화한다. 수식에 의하여 출력된 그래픽의 여러 효과를 응용수학에 활용할 수 있도록 재조립하는 과정을 걸쳐 완성하는데 이 연구의 참된 의미가 있다.

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Analysis of Formal Aesthetics of Fashion Designer's Works -Focused on Madeleine Vionnet & Christian Dior- (패션디자인 작품에 나타난 형태미 분석 -비요네와 디올의 작품을 중심으로-)

  • Yun, Ji-Young
    • Journal of the Korean Society of Clothing and Textiles
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    • v.29 no.12 s.148
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    • pp.1582-1594
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    • 2005
  • The purpose of this study is to rediscover the value of form in fashion design by developing a new perspective of design appreciation. By examining and modifying the theories of Wolfflin and Belong, this paper tries to of for a new perspective for analyzing the characteristics of form in fashion designers' works. The three new perspective, Flat & Rounded, Closed & Opened and Part & Whole, can be used to analyze the formative aesthetic character of Vionnet's and Dior's works. Ten of Vionnet's and eleven of Dior's representative works selected and applied Delong's visual priority diagram to analyze their character. Vionnet and Dior, emphasized form and construction in their design and applied geometric shapes in their works. The main differences between Vionnet and Dior is that Vionnet's work transforms from geometric shapes in 2-dimentional space to drapery shapes in 3-dimensional space, Dior's work displays geometric shapes in 3-dimensional space. Vionnet created new formative art through the relationship between the clothes and human body. Vionnet's work has distinctively different qualities depending on whether the space is 2-dimensional or 3-dimensional showing transposition of form. In 2-dimensional space, Vionnet's works consist of triangles, rectangles and circles which are 'flat' and 'closed' in quality. These transform to solid forms by draping bias fabrics, which have a 'rounded' and 'open' quality. Dior tended to show artificial form rather than the natural lines of the body which is very different with Vionnet. Dior created clothes by using solid geometric form such as spheres, prisms, cylinders, pyramids and cubes in 3-dimensional space, which were visualized through constructive technique such as dart manipulation, boning, gathering, tucking, pleating, shirring and layering. Dior's works have their own form which does not relate with body shape. So his Works have a 'rounded' and 'closed' quality.

A detection algorithm for the installations and damages on a tunnel liner using the laser scanning data (레이저 스캐닝 데이터를 이용한 터널 시설물 및 손상부위 검측 알고리즘)

  • Yoon, Jong-Suk;Lee, Jun-S.;Lee, Kyu-Sung;SaGong, Myung
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.9 no.1
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    • pp.19-28
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    • 2007
  • Tunnel management is a time-consuming and expensive task. In particular, visual analysis of tunnel inspection often requires extended time and cost and shows problems on data gathering, storage and analysis. This study proposes a new approach to extract information for tunnel management by using a laser scanning technology. A prototype tunnel laser scanner developed was used to obtain point clouds of a railway tunnel surface. Initial processing of laser scanning data was to separate those laser pulses returned from the installations attached to tunnel liner using radiometric and geometric characteristics of laser returns. Once the laser returns from the installations were separated and removed, physically damaged parts on tunnel lining are detected. Based on the plane formed by laser scanner data, damaged parts are detected by analysis of proximity. The algorithms presented in this study successfully detect the physically damaged parts which can be verified by the digital photography of the corresponding location on the tunnel surface.

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3D Reconstruction and Self-calibration based on Binocular Stereo Vision (스테레오 영상을 이용한 자기보정 및 3차원 형상 구현)

  • Hou, Rongrong;Jeong, Kyung-Seok
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.9
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    • pp.3856-3863
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    • 2012
  • A 3D reconstruction technique from stereo images that requires minimal intervention from the user has been developed. The reconstruction problem consists of three steps of estimating specific geometry groups. The first step is estimating the epipolar geometry that exists between the stereo image pairs which includes feature matching in both images. The second is estimating the affine geometry, a process to find a special plane in the projective space by means of vanishing points. The third step, which includes camera self-calibration, is obtaining a metric geometry from which a 3D model of the scene could be obtained. The major advantage of this method is that the stereo images do not need to be calibrated for reconstruction. The results of camera calibration and reconstruction have shown the possibility of obtaining a 3D model directly from features in the images.

Adjustment of Exterior Orientation Parameters Geometric Registration of Aerial Images and LIDAR Data (항공영상과 라이다데이터의 기하학적 정합을 위한 외부표정요소의 조정)

  • Hong, Ju-Seok;Lee, Im-Pyeong
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.27 no.5
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    • pp.585-597
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    • 2009
  • This research aims to develop a registration method to remove the geometric inconsistency between aerial images and LIDAR data acquired from an airborne multi-sensor system. The proposed method mainly includes registration primitives extraction, correspondence establishment, and EOP(Exterior Orientation Parameters) adjustment. As the registration primitives, we extracts planar patches and intersection edges from the LIDAR data and object points and linking edges from the aerial images. The extracted primitives are then categorized into horizontal and vertical ones; and their correspondences are established. These correspondent pairs are incorporated as stochastic constraints into the bundle block adjustment, which finally precisely adjusts the exterior orientation parameters of the images. According to the experimental results from the application of the proposed method to real data, we found that the attitude parameters of EOPs were meaningfully adjusted and the geometric inconsistency of the primitives used for the adjustment is reduced from 2 m to 2 cm before and after the registration. Hence, the results of this research can contribute to data fusion for the high quality 3D spatial information.

Characteristics of Plastic Concept of Minimalism in Comtemporary Landscape Design (현대조경설계에서 미니멀리즘의 조형개념 특성)

  • Ahn, Seung-Hong
    • Journal of the Korean Institute of Landscape Architecture
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    • v.37 no.5
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    • pp.64-77
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    • 2009
  • In landscape architecture, the pursuit of pluralism requires diverse expression based on cultural and philosophical differences. Landscape architects impart social purposes and spatial relationships to the contemporary generation by providing particular environments that reflect the culture of the day. Particularly, landscape architects reflect contemporary art in their design works and express the characteristics of the arts of the day in real spaces. Historically they have sought motives from all fields of art. The plastic concept in landscape design is based specifically on paintings that directly influence spatial composition. Minimalism in landscape architecture contributes to the formation of artistic characteristics that can be explained to improve artistry in landscapes as aesthetic objects, which were eliminated in the modernist era, and to realize contemporary art. By interpretively studying design works, therefore, this study reveals plastic concepts' influence on landscape design affected by minimalist art. The characteristics of plastic concepts in minimalist landscape design can be summarized as follows. First, the reduction of Minimalist Landscape is meant for viewers to immediately understand a work's identity and to easily perceive its intention by using design language implied by the pure geometric forms such as circles, triangles and squares. Second, the extension intends to seek internal order by connecting design elements mutually and externally to provide visual direction by adopting linear expression. Third, the flatness that defines meaningless space tends to overlay additional elements on a flattened site to induce the perception of a sequence of landscapes and to patternize pavement to improve its visual image. Finally, seriality has two characteristics: to make centrality in space and to compose by repeating formative elements and materials based on the pursuit of a site's totality, rather than an individual space's originality.

A study on the 3-D positional analysis for track of magnetically levitated vehicles (자기부상열차 선로의 3차원 위치해석에 관한 연구)

  • 강준묵;윤희천;배상호
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.13 no.2
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    • pp.229-236
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    • 1995
  • This study is the 3-D positional analysis for track of magnetically levitated vehicles to precise construction and periodical safe diagnosis by photogrammetry. In the result, we could improve the accuracy of Z as well as X, Y using the modified control points of spatial distribution to the plane distribution of the absolutly effective control points to accuracy and diagnosis the the track of magnetically levitated vehicles using the below 1㎜ accuracy. And we could analysis the 3-D precise positions and efficiently decide the geometric characteristics of the cant and gradient to the instrument.

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1/10,000 Scale Digital Mapping using High Resolution Satellite Images (고해상도 위성영상을 이용한 축척 1/10,000 수치지도 제작)

  • Lee, Byung-Hwan;Kim, Jeong-Hee;Park, Kyung-Hwan;Chung, Il-Hoon
    • Journal of the Korean Association of Geographic Information Studies
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    • v.3 no.2
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    • pp.11-23
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    • 2000
  • The subjects of this study are to examine and to apply the methods of making 1 : 10,000 scale digital maps using Russian's 2 m resolution satellite images of Alternative and 8 m resolution stereo satellite images of MK-4 for the Kyoha area of Paju-city where aerial-photo surveying is not possible. A digital elevation model (DEM) was calculated from MK-4 images. With this DEM, the Alternative images were orthorectified. Ground control points (GCP) were acquired from GPS surveyings and were used to perform geometric corrections on Alternative images. From field investigation, thematic attributes are digitized on the monitor. RMS errors of the planar and vertical positions are estimated to ${\pm}0.4$ m and ${\pm}15$ m, respectively. The planar accuracy is better than an accuracy required by NGIS (national GIS) programs. Local information from field investigation was added and the resulting maps should be good as base maps for, such as, regional and urban plannings.

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Functional beamforming for high-resolution ultrasound imaging in the air with random sparse array transducer (고해상도 공기중 초음파 영상을 위한 기능성 빔형성법 적용)

  • Choon-Su Park
    • The Journal of the Acoustical Society of Korea
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    • v.43 no.3
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    • pp.361-367
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    • 2024
  • Ultrasound in the air is widely used in industry as a measurement technique to prevent abnormalities in the machinery. Recently, the use of airborne ultrasound imaging techniques, which can find the location of abnormalities using an array transducers, is increasing. A beamforming method that uses the phase difference for each sensor is used to visualize the location of the ultrasonic sound source. We exploit a random sparse ultrasonic array and obtain beamforming power distribution on the source in a certain distance away from the array. Conventional beamforming methods inevitably have limited spatial resolution depending on the number of sensors used and the aperture size. A high-resolution ultrasound imaging technique was implemented by applying functional beamforming as a method to overcome the geometric constraints of the array. The functional beamforming method can be expressed as a generalized beam forming method mathematically, and has the advantage of being able to obtain high-resolution imaging by reducing main-lobe width and side lobes. As a result of observation through computer simulation, it was verified that the resolution of the ultrasonic source in the air was successfully increased by functional beamforming using the ultrasonic sparse array.

A Study on the Possibility of Producing a Floor Plan of 「Donggwoldo(東闕圖)」 through the Use of Rubber Sheeting Transformation - With a Focus on the Surroundings near the Geumcheongyo Bridge in Changdeokgung Palace - (러버쉬팅변환을 통한 「동궐도(東闕圖)」의 평면도 제작 가능성 연구 - 창덕궁 금천교 주변을 중심으로 -)

  • Lee, Jae-Yong;Kim, Young-Mo
    • Korean Journal of Heritage: History & Science
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    • v.50 no.4
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    • pp.104-121
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    • 2017
  • The present study attempted to produce the floor plan of the surroundings near Geumcheongyo Bridge in Changdeokgung Palace of the Late Joseon Period through the use of rubber sheeting transformation based on the drawing principles of "Donggwoldo(東闕圖)". First, the study compared the actual sizes of the major buildings that have existed since the production of "Donggwoldo(東闕圖)" with the sizes depicted in the picture to reveal that the front elevation of the buildings was produced by reducing it by approximately 1/200. However, the study could not confirm the same production proportions for the side elevation. Only the lengths of the side elevation were depicted at around half of the actual proportions, and as the diagonal line angles were found to be at an average of $39^{\circ}$, the study confirmed they were drawn in a manner similar to cabinet projection. Second, the study created an obliquely projected floor plan by inversely shadowing the drawing principles of "Donggwoldo(東闕圖)" and produced a floor plan of the surroundings near Geumcheongyo Bridge in Changdeokgung Palace through the use of rubber sheeting transformation. Projective transformation was confirmed as most suitable during the transformation, and with standard error of 2.1208m, the relatively high accuracy of the transformation shows that the production of a floor plan for "Donggwoldo(東闕圖)" is significant. Furthermore, it implies the possibility of producing floor plans for various documentary paintings produced using the paralleled oblique drawing method in addition to "Donggwoldo(東闕圖)". Third, the study evaluated the accuracy of the spatial information provided by the produced floor plan by comparing the three items of Geumcheongyo Bridge location, Geumcheongyo Bridge and Jinseonmun Gate arrangement, and Geumcheon stone embankment location. The results confirmed the possibility of utilizing the floor plan as a useful tool which helps understand the appearance of the surroundings at the time of "Donggwoldo(東闕圖)" production because it is parallel to the excavation results of the Geumcheongyo Bridge and its context. Therefore, the present study is significant in that it seeks the possibility of producing spatial information recorded in "Donggwoldo(東闕圖)" by applying rubber sheeting transformation and consequently in that it presents a new methodology for understanding the appearance of the East Palace of the Late Joseon Period.