• Title/Summary/Keyword: area of a rectangle

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Squaring the Circle and Recognizing Right Triangles of Ancient Egyptians (고대 이집트인들의 원의 구적과 직각삼각형의 인식)

  • Park, Mingu;Park, Jeanam;Hong, Kyounghee
    • Journal for History of Mathematics
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    • v.30 no.4
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    • pp.221-232
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    • 2017
  • In this paper, we discuss how ancient Egyptians find out the area of the circle based on $\ll$Ahmose Papyrus$\gg$. Vogel and Engels studied the quadrature of the circle, one of the basic concepts of ancient Egyptian mathematics. We look closely at the interpretation based on the approximate right triangle of Robins and Shute. As circumstantial evidence for Robbins and Shute's hypothesis, Egyptians prior to the 12th dynasty considered the perception of a right triangle as examples of 'simultaneous equation', 'unit of length', 'unit of slope', 'Egyptian triple', and 'right triangles transfer to Greece'. Finally, we present a method to utilize the squaring the circle by ancient Egyptians interpreted by Robbins and Shute as the dynamic symmetry of Hambidge.

An Efficient Medical Image Compression Considering Brain CT Images with Bilateral Symmetry (뇌 CT 영상의 대칭성을 고려한 관심영역 중심의 효율적인 의료영상 압축)

  • Jung, Jae-Sung;Lee, Chang-Hun
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.12 no.5
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    • pp.39-54
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    • 2012
  • Picture Archiving and Communication System (PACS) has been planted as one of the key infrastructures with an overall improvement in standards of medical informationization and the stream of digital hospitalization in recent days. The kind and data of digital medical imagery are also increasing rapidly in volume. This trend emphasizes the medical image compression for storing large-scale medical image data. Digital Imaging and Communications in Medicine (DICOM), de facto standard in digital medical imagery, specifies Run Length Encode (RLE), which is the typical lossless data compressing technique, for the medical image compression. However, the RLE is not appropriate approach for medical image data with bilateral symmetry of the human organism. we suggest two preprocessing algorithms that detect interested area, the minimum bounding rectangle, in a medical image to enhance data compression efficiency and that re-code image pixel values to reduce data size according to the symmetry characteristics in the interested area, and also presents an improved image compression technique for brain CT imagery with high bilateral symmetry. As the result of experiment, the suggested approach shows higher data compression ratio than the RLE compression in the DICOM standard without detecting interested area in images.

Change Area Detection using Color and Edge Gradient Covariance Features (색상과 에지 공분산 특징을 이용한 변화영역 검출)

  • Kim, Dong-Keun;Hwang, Chi-Jung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.1
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    • pp.717-724
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    • 2016
  • This paper proposes a change detection method based on the covariance matrices of color and edge gradient in a color video. The YCbCr color format was used instead of RGB. The color covariance matrix was calculated from the CbCr-channels and the edge gradient covariance matrix was calculated from the Y-channels. The covariance matrices were effectively calculated at each pixel by calculating the sum, squared sum, and sum of two values' multiplication of a rectangle area using the integral images from a background image. The background image was updated by a running the average between the background image and a current frame. The change areas in a current frame image against the background were detected using the Mahalanobis distance, which is a measure of the statistical distance using covariance matrices. The experimental results of an expressway color video showed that the proposed approach can effectively detect change regions for color and edge gradients against the background.

Influence of Groove Location on Lubrication Characteristics of the Piston and Cylinder in a Linear Compressor (그루브 위치가 리니어 압축기용 피스톤과 실린더의 윤활특성에 미치는 영향)

  • Jeon, W.J.;Son, S.I.;Lee, H.;Kim, J.W.;Kim, K.W.
    • Tribology and Lubricants
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    • v.32 no.1
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    • pp.24-31
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    • 2016
  • In this paper hydrodynamic lubrication analysis is carried out to investigate the effects of groove location on the lubrication performance of a piston and cylinder system in a linear compressor. The rectangle shaped grooves having a constant groove depth and width are applied on the lubrication area of the piston. The Universal Reynolds equation is used to calculate the oil film pressure, and the Elrod algorithm with the finite different method is used to solve the governing equation. The JFO boundary condition is applied to predict cavitation regions. Transient analysis for different locations of the grooves on the piston is carried out using the typical operating condition of the linear compressor in order to estimate the variations of frictional power losses and minimum film thicknesses. When the grooves are applied on the lubrication area, both the frictional power loss and the minimum film thickness decrease. The frictional power loss can be reduced effectively, while maintaining a minimum film thickness to enable the piston operation without direct contact with the cylinder surface, by means of choosing a proper location of the grooves. The optimum location of the grooves to improve a lubrication performance depends on the operation condition or the system requirements specification.

Two Modern Museums in San Francisco: SFMOMA and De Young Museum (San Francisco의 두 현대 미술관, SFMOMA와 De Young Museum)

  • Chung, Jin-Soo
    • Journal of architectural history
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    • v.16 no.4
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    • pp.7-22
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    • 2007
  • In San Francisco, two new museums were recently built in 1995 and 2005. The one is San Francisco Museum of Modern Art designed by Mario Botta and the other is De Young Museum designed by Jacques Herzog & Pierre de Meuron. The urban settings for the museums are compared with each other and theories of the architects are evolved on different branches in the modernist trends. The theories and settings are followed by the representation in the forms, facades, interior spaces and towers. SFMOMA is located on the SoMa area, which was recently developed into a cultural urban core with Moscone Center and Buena Yerba Garden. De Young Museum was rebuilt in the old museum site in the Golden Gate Park. The one is on the context of urban artefacts and the other on the context of natural artefacts. To Botta, the museum in today's city plays a role analogous to that of the cathedral of yesterday. It is a place of common encounter and confrontation. The volume of SFMOMA which is geometrical and symmetric with double pylons. The frontality on the street and public green open space and the axiality of SFMOMA runs through the Buena Yerba Garden over Buena Yerba Center for the Arts are reminded us of an urban core with a religious monument and a city square. The staircase with grandiose design in the atrium seems to work as an altar with lighting from skylight above enhancing the liturgical ambiance. De Young Museum is shaped in a rectangle with long narrow courtyards. Three bands of volumes are juxtaposed and the nature flows into the museum corridors and galleries. The tower is distorted so as to be aligned to the street grids of the surrounding area. The copper panel of De Young Museum and natural context evoke modern concept of "machine in the garden". The two museums from different pedigrees of Modern Architecture are now major landmarks of SF and urban expressions for the 21st century.

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Alternative Optimal Threshold Criteria: MFR (대안적인 분류기준: 오분류율곱)

  • Hong, Chong Sun;Kim, Hyomin Alex;Kim, Dong Kyu
    • The Korean Journal of Applied Statistics
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    • v.27 no.5
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    • pp.773-786
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    • 2014
  • We propose the multiplication of false rates (MFR) which is a classification accuracy criteria and an area type of rectangle from ROC curve. Optimal threshold obtained using MFR is compared with other criteria in terms of classification performance. Their optimal thresholds for various distribution functions are also found; consequently, some properties and advantages of MFR are discussed by comparing FNR and FPR corresponding to optimal thresholds. Based on general cost function, cost ratios of optimal thresholds are computed using various classification criteria. The cost ratios for cost curves are observed so that the advantages of MFR are explored. Furthermore, the de nition of MFR is extended to multi-dimensional ROC analysis and the relations of classification criteria are also discussed.

Automatic Detection of Vehicle Area Rectangle and Traffic Volume Measurement through Vehicle Sub-Shadow Accumulation (차량 그림자 누적을 통한 검지 영역 자동 설정 및 교통량 측정 방법)

  • Kim, Jee-Wan;Lee, Jaesung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.8
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    • pp.1885-1894
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    • 2014
  • There are various high-performance algorithms in the area of the existing VDSs (vehicle detection systems). However, they requires a large amount of computational time-complexity and their systems generally are very expensive and consumes high-power. This paper proposes real-time traffic information detection algorithm that can be applied to low-cost, low-power, and open development platform such as Android. This algorithm uses a vehicle's sub-shadow to set ROI(region of interest) and to count vehicles using a location of the sub-shadow and the vehicle. The proposed algorithm is able to count the vehicles per each roads and each directions separately. The experiment result show that the detection rate for going-up vehicles is 94.1% and that for going-down vehicles is 97.1%. These results are close to or surpasses 95%, the detection rate of commercial loop detectors.

RFID Based Indoor Localization and Effective Tag Arrangement Method (RFID를 기반으로 한 실내 위치 파악 및 효율적 Tag 배치)

  • Yoon, Chang-Sun;Yoon, Dong-Min;Kwon, Young-Chan;Hong, Yeon-Chan
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.12
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    • pp.8760-8766
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    • 2015
  • In this paper a technology which gives directions to people and also localization of the robotic vacuum cleaners inside some spacious buildings is developed. For this purpose, it is confirmed that which pattern has a small error in dealing with the indoor localization with various RFID tag arrangements attached on the ground. This experiment was conducted by using MT92(900MHz range Antenna) and ALR 9900+(Reader). As a result, the square arrangement has the least error, 21.19cm, among other patterns which are diamond, rectangle and regular hexagon. However, it is necessary to consider the number of tags in the unit area, from this point of view the regular hexagon arrangement is the most efficient arrangement among other patterns because it needs only 6 tags in the unit area.

Semi-automatic Extraction of 3D Building Boundary Using DSM from Stereo Images Matching (영상 매칭으로 생성된 DSM을 이용한 반자동 3차원 건물 외곽선 추출 기법 개발)

  • Kim, Soohyeon;Rhee, Sooahm
    • Korean Journal of Remote Sensing
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    • v.34 no.6_1
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    • pp.1067-1087
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    • 2018
  • In a study for LiDAR data based building boundary extraction, usually dense point cloud was used to cluster building rooftop area and extract building outline. However, when we used DSM generated from stereo image matching to extract building boundary, it is not trivial to cluster building roof top area automatically due to outliers and large holes of point cloud. Thus, we propose a technique to extract building boundary semi-automatically from the DSM created from stereo images. The technique consists of watershed segmentation for using user input as markers and recursive MBR algorithm. Since the proposed method only inputs simple marker information that represents building areas within the DSM, it can create building boundary efficiently by minimizing user input.

A Research Study on the Wearing Conditions and Preferences of Slim Fit Tailored Jacket Consumers - Focused on the comparison by body shape among the women in their 30s - (슬림 핏 테일러드 재킷의 소비자 착용실태 및 선호 조사연구 - 30대 여성 체형별 비교 중심으로 -)

  • Jeong, JaeChul;Park, SunKyung
    • Fashion & Textile Research Journal
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    • v.17 no.4
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    • pp.588-596
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    • 2015
  • This study aims to provide the basic reference necessary in improving the fitness of a ready-to-wear brand jacket through a research on the wearing conditions and preferences regarding a tailored jacket by body shape of the women in their 30s. The following results were drawn by implementing the research method of the self-administered type survey targeting 201 women in their 30s from August 14~28, 2014. First, the female consumers in their 30s preferred one button slim fit jacket when purchasing a tailored jacket and chose a close-fitting size. Second, the slim fit tailored jacket consumers preferred a jacket with some extra portion in the bust and hip areas but tightly fit in the waist area. Third, when purchasing a jacket under the ready-to-wear size system, the women with a triangle shape similar to a standard body silhouette had less instances of mending a jacket while the women with a big or small rectangle shape different from a standard body silhouette had more experiences of mending a jacket. Accordingly, it is expected of the manufacturers to increase the fitness satisfaction of the consumers by identifying the problems concerning the fitness and suggesting the improvement plans to produce a jacket of a good fitness reflecting the properties of different body shapes through such research on the wearing conditions and preferences regarding a tailored jacket by body shape of the women in their 30s.