• 제목/요약/키워드: Radius of Circle

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대수적 방법을 이용한 방접원에 관련된 삼각형 작도문제의 해결 연구 (A Study on Solving Triangle Construction Problems Related with Radius of Escribed Circle Using Algebraic Method)

  • 공선혜;한인기
    • 한국학교수학회논문집
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    • 제11권3호
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    • pp.399-420
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    • 2008
  • 작도문제는 도형의 다양한 개념들, 성질들에 대한 이해를 증진시키며, 기하학적 탐구능력을 기르는 도구로 활용될 수 있다. 본 연구에서는 작도문제를 해결하는 대수적 방법의 본질, 의의에 대해 고찰하고, 대수적 방법을 활용하여 방접원의 반지름(들)이 조건의 일부로 주어진 삼각형 작도문제를 해결하고, 바탕문제를 중심으로 해결된 작도 문제를 체계화시켰다. 본 연구의 결과는 수학 심화학급이나 과학영재교육원의 창의적 수학 탐구의 자료로 활용될 수 있을 것이며, 삼각형 작도문제의 체계적이고 포괄적인 후속연구를 위한 기초자료가 될 수 있을 것으로 기대된다.

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컴퓨터 비젼을 이용한 파이프 불량 검사시스템 개발 (Development of Pipe Fault Inspection System using Computer Vision)

  • 박찬호;양순용;안경관;오현옥;이병룡
    • 제어로봇시스템학회논문지
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    • 제9권10호
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    • pp.822-831
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    • 2003
  • A computer-vision based pipe-inspection algorithm is developed. The algorithm uses the modified Hough transformation and a line-scanning approach to identify the edge line and the radius of the pipe image, from which the eccentricity and dimension of the pipe-end is calculated. Line and circle detection was performed using Laplace operator with input image, which are acquired from the front and side cameras. In order to minimize the memory usage and the processing time, a clustering method with the modified Hough transformation is introduced for line detection. The dimension of inner and outer radius of pipe is calculated by the proposed line-scanning method. The method scans several lines along the X and Y axes, calculating the eccentricity of inner and outer circle, by which pipes with wrong end-shape can be classified and removed.

컴퓨터 비젼을 이용한 파이프 형상 검사시스템에 관한 연구 (A Study about Pipe Shape Inspection System for Computer Vision)

  • 김형석;이병룡;양순용;안경관;오현옥
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.946-950
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    • 2003
  • In this paper, a computer-vision based pipe shape inspection algorithm is developed. The algorithm uses the modified Hough transformation and a line-scanning approach to identify the edge line and radius of the pipe image, from which the eccentricity and dimension of the pipe-end is calculated. Line and circle detection was performed using Laplace operator with input image, which are acquired from the front and side cameras. In order to minimize the memory usage and the processing time, a clustering method with the modified Hough transformation for line detection. The dimension of inner and outer radius of pipe is calculated by proposed line-scanning method. The method scans several lines along the X and Y axes, calculating the eccentricity of inner and outer circle. by which pipes with wrong end-shape can be classified removed.

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컴퓨터 비젼을 이용한 파이프 검사시스템에 대한 연구 (A Study about Pipe inspection System for Computer Vision)

  • 박찬호;이병룡;양순용;안경관;오현옥
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 추계학술대회 논문집
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    • pp.521-525
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    • 2002
  • In this paper, a computer-vision based pipe-inspection algorithm is developed. The algorithm uses the modified Hough transformation and a line-scanning approach to identify the edge line and radius of the pipe image, from which the eccentricity and dimension of the pipe-end is calculated. Line and circle detection was performed using Laplace operator with input image, which are acquired from the front and side cameras. In order to minimize the memory usage and the processing time, a clustering method with the modified Hough transformation for line detection. The dimension of inner and outer radius of pipe is calculated by proposed line-scanning method. The method scans several lines along the X and Y axes, calculating the eccentricity of inner and outer circle, by which pipes with wrong end-shape can be classified removed.

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가중치가 부가된 현들을 이용한 원형부품 중심위치의 강건한 추정 (A robust center estimation of the circular parts based on the weighted circle chords)

  • 성효경;최흥문
    • 전자공학회논문지C
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    • 제34C권10호
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    • pp.51-58
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    • 1997
  • In this paper, a technique ot estimate center positions of the circular parts under noisy condition is presented. The circle chords are segmented from the circle with successively varying angle and weighted to reduce the center estimation errors effected by the orientations of the circle chords. The weighting factors for variable length chords are adaptively detemined according to the error contribution of each chord in center estimation. Robust estimation of the center positions of the circular parts are possible even though the edge informations are partially contaminated by the non-uniform lighting or the background textures. Computer simulations for several images which are obtained for same object under real environment y camera, show that the proposed techniqeu yields 1.85 and 2.77 of estimated error-distribution for center position and radius in mean square error, that the proposed has more robust estimation than those of the conventional methods.

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한국인 성인의 정상 치열궁 형태에 관한 연구 (A STUDY ON THE NORMAL DENTAL ARCH FORM OF KOREAN ADULT)

  • 정하익
    • 대한치과교정학회지
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    • 제3권1호
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    • pp.7-13
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    • 1972
  • 정상 치열궁에 관한 연구는 많은 학자들에 의해 시행되어온 바 학자들 간에는 아무런 일관성이 없다는 의견과 치열궁을 대표할 만한 기하학적 곡선이 존재한다는 의견이 상충되어 왔다. 그중 후자의 이론이 지배적인 것으로 보이나 그 중에서도 곡선의 형태에 관하여서는 다시 많은 논란이 있었다. Bonwill과 Hawley등에 의한 Circle론, Black의 반타원론, Angle의 포물선론, 이외에도 많은 의견이 있는 가운데 저자는 정상교합을 유지하는 한국인 성인을 대상으로 Bonwill과 Hawley의 이론을 기초로 한 연구를 시행한 바 다음과 같은 결과를 얻었다. 1. 정상교합을 유지하는 한국인 성인의 치열은 전치에 있어서 원호에 근사한 배열을 갖는다. 2. 원의 지름은 6전치의 폭경의 합에 대하여 다양하므로, 전치 배열이 치아의 크기에 엄격히 연관됐다고 단정 할 수는 없다. 3. 그러나 6전치 폭경의 합에 대한 원의 지름의 비율은 그 평균치가 상하악 모두 1 : 1에 매우 근접하고 이 사실은 Bonwill의 결론에 부합한다. 4. 견치간 폭경과 구치간 폭경은 육전치의 합에 대한 비율이 상하악에 있어서 그 형태가 다름에 따라 상이하나 비교적 일정하게 나타난다.

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공구날 특이길이의 물리적 적합성 고찰 (Physically Compatible Characteristic Length of Cutting Edge Geometry)

  • 안일혁;김익현;황지홍
    • 한국정밀공학회지
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    • 제29권3호
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    • pp.279-288
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    • 2012
  • The material removal mechanism in machining is significantly affected by the cutting edge geometry. Its effect becomes even more substantial when the depth of cut is relatively small as compared to the characteristic length which represents the shape and size of the cutting edge. Conventionally, radius or focal length has been employed as the characteristic length with the assumption that the shape of cutting edge is round or parabolic. However, in reality, there could be various ways to determine the radius or focal length even for the same tool edge profile, depending on the region to be considered as cutting edge in the measured profile and the constraints to be set in constructing the best fitted circle or parabola. In this regard, the present study proposes various models to determine the characteristic length in terms of radius or focal length. Their physical compatibility are validated by carrying out 2D orthogonal cutting experiments using inserts with a wide range of characteristic length ($30{\sim}180\;{\mu}m$ in terms of radius) and then by investigating the correlation between the characteristic length and the cutting forces. Such validation is based on the common belief that the larger the characteristic length is, the blunter the cutting edge is and the higher the cutting forces are. Interestingly, the results showed that the correlation is higher for the radius or focal length obtained with a constraint that the center of best fitted circle or the focus of the best fitted parabola should be on the bisectional line of the wedge angle of tool.

Analysis of Greater Tuberosity from the Center of the Humeral Head: Progression to Femoralization

  • Lee, Jun-Seok;Song, Hyun Seok;Kim, Hyungsuk;Yoon, Hyung Moon;Han, Sung Bin
    • Clinics in Shoulder and Elbow
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    • 제22권4호
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    • pp.216-219
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    • 2019
  • Background: Progression of the tear size and erosion of the greater tuberosity (femoralization) in the supraspinatus tear makes it difficult to repair or increases the risk of a re-tear. This study examined the proximal articular surface and greater tuberosity of the humeral head in plain radiography. Methods: Two-hundred forty-seven cases, whose anteroposterior (AP) radiographs were taken correctly, were included from 288 cases, in whom the status of the supraspinatus had been confirmed by surgery. After downloading the plain AP radiograph as DICOM, the radius of the circle apposed at the superior half of the articular surface of the head, and the distance between the circle and the farthest point of the greater tuberosity ('height' of the greater tuberosity) were calculated using the software (TechHime, Korea). MRI checked the number of torn tendons and degree of muscular atrophy. Results: The following were encountered: 93 intact supraspinatus, 50 partial-thickness tears, and 104 full-thickness tears. In the analysis using the 93 intact cases, the average radius of the rotation center was 25.3 mm in male and 22.3 mm in female. The average height of the greater tuberosity from the circle with the same rotation center was 4.3 mm in male and 4.2 mm in female with no statistical significance. The correlation between the reparability of supraspinatus and height of the greater tuberosity, fatty infiltration, and muscular atrophy was confirmed. Conclusions: The height of the greater tuberosity from the circle with the same rotation center was 4.3 mm in male and 4.2 mm in female. This height was strongly correlated with muscular atrophy and fatty infiltration of the supraspinatus tendon.

접촉식 형상 측정기에 의한 표면 미세 형상 측정시 촉침 반경이 측정오차에 미치는 영향 (Effects of stylus tip radius on the measuring error in surface topography measurement by contact stylus profilometer)

  • 권기환
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2000년도 춘계학술대회논문집 - 한국공작기계학회
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    • pp.613-617
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    • 2000
  • This paper descries the effect of the stylus tip size on the measuring error in surface topography measurement. To analyze the distortional effect of an actual surface geometry originating from the finite stylus size, the surface is modeled as a sinusoid and the stylus tip as a circle. the measuring error is defined as the ratio of the standard deviation of a tracing profile and an original profile. It is shown that this measuring error depends on the amplitude and wavelength of an original profile. In this paper, the spectrum analysis is applied to investigate the distortional effect due to the mechanical filtering of the stylus in the frequency domain. and, the cumulative power spectrum is applied to determinate the minimum wavelength limits to be measured with the various stylus tip radius from these results, a new method to select proper stylus tip radius is proposed.

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퍼지탐색을 이용한 머신비전 기반의 소형 튜브 내경측정 알고리즘 (Radius-Measuring Algorithm for Small Tubes Based on Machine Vision using Fuzzy Searching Method)

  • ;이상진;김형석;배용환;이병룡
    • 대한기계학회논문집A
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    • 제35권11호
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    • pp.1429-1436
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    • 2011
  • 본 논문에서는 튜브의 내부에 이물질이 있거나, 조명에 의한 영상잡음이 많은 경우에도 내경중심과 내경을 정확하게 측정할 수 있는 머신비전 기반의 새로운 측정알고리즘을 제안하였다. 또한 내경과 외경 중심간의 이격거리인 편심량도 계산할 수 있다. 제안된 알고리즘은 퍼지제어에 바탕을 둔 반복탐색에 의하여 임의의 초기탐색점에서 거리와 방향을 단계적으로 이동함으로써 내경의 중심에 도달하게 한다. 제안된 알고리즘은 계산시간 뿐만 아니라 측정정밀도 면에도 기존의 방법에 비해 우수하였다. 성능을 비교하기 위하여 생산현장에서 생산되는 튜브들을 이용하여 실험을 수행하였고, 실험 결과 제안된 알고리즘을 사용하는 경우가 널리 사용되고 있는 알고리즘인 Hough 변환 방식과 RANSAC 방식보다 계산시간 및 측정정밀도에서 우수함을 보였다.