• Title/Summary/Keyword: 평균 곡률

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Edge-preserving filtering using mean curvature diffusion (평균곡률 확산을 이용한 에지 보존 필터링)

  • Ye, Chul-Soo;Kim, Kyoung-Ok;Lee, Kwae-Hi
    • Proceedings of the Korea Information Processing Society Conference
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    • 2002.11a
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    • pp.699-702
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    • 2002
  • 본 논문에서는 anisotropic diffusion 방법의 일종인 평균곡률 확산 (Mean Curvature Diffusion) 방법을 이용하여 영상에 포함된 잡음은 제거하고 동시에 에지는 보존하는 기법을 제안한다. 평균곡률 확산은 2 차원 영상의 밝기값을 3 차원 공간상의 z 좌표에 대응시켜 영상의 밝기값에 대응하는 공간 상의 곡면을 구성하고 이 곡면을 평균곡률에 비례하는 속도로 확산시킨다. 확산이 진행되면서 평균곡률이 영이 되는 에지에서는 확산이 발생하지 않고 잡음 등의 영향이 많은 에지 이외의 영역에서는 확산이 빠른 속도로 진행된다. 기존의 평균곡률 확산 방법의 성능을 개선하기 위해 최소/최대 흐름 방법을 평균곡률 확산 방법과 결합시키고 영상의 2 차 도함수를 사용하여 d얇은 에지를 보존하였다. 실험을 통해 제안한 방법이 기존의 방법보다 잡음 제거와 에지 보존 성능이 우수함을 확인할 수 있었다.

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동근공에 가까운 볼록폐곡면

  • 임지선;고성은
    • Communications of the Korean Mathematical Society
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    • v.15 no.2
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    • pp.325-330
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    • 2000
  • 3차원 Euclid 공간의 볼록폐곡면의 평균곡률과 Gauss 곡률의 비가 상수함수와 충분히 가까우면 그 곡면은 중심이 같고 반지름이 거의 같은 두 개의 둥근공 사이에 놓이게 됨을 보였다.

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Mesh Simplification using New Approximate Mean Curvatures (새로운 근사 평균 곡률을 이용한 메쉬 단순화)

  • Kwak, Jae-Hee;Lee, Eun-Jeong;Yoo, Kwan-Hee
    • Journal of Korea Game Society
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    • v.2 no.2
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    • pp.28-36
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    • 2002
  • In general, triangular meshes have been used for modeling geometric objects such as virtual game characters. The dense meshes give us considerable advantages in representing complex, highly detailed objects, while they are more expensive for storing, transmitting and rendering the objects. Therefore, several researches have been performed for producing a high quality approximation in place of detailed objects, that is, a simplification of triangular meshes. In this paper, we propose a new measure with respect to edges and vertices, which is called an approximate mean curvature and is used as criteria to simplify an original mesh. An edge mean curvature is computed by considering its neighboring edges, and a vertex mean curvature is defined as an average of its incident edges' mean curvatures. And we apply the proposed measure to simplify the models such as a bunny, dragon and teeth. As a result, we can see that the mean curvatures can be used as good criteria for providing much better approximation of models.

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An Estimation of Velocity Correction Factor for Estimate of Representative Velocity According to Channel Curvature (대표유속산정을 위한 수로곡률에 대한 유속보정계수 산정)

  • Kim, Sooyoung;Kim, Hyung-Jun;Yoon, Kwang Seok
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.429-429
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    • 2016
  • 하천에 포함되는 각종 시설물을 설계하는데 있어 기준이 되는 하천설계기준에는 대부분 하천의 대표유속을 통해 시설물의 규모와 형태를 결정하는 공식이 제시되어 있다. 이러한 대표유속의 경우 대부분 평균유속을 사용하고 있으며 하천의 형태와 시설 등에 의한 영향으로 국부적으로 유속이 증가하는 경우 유속보정계수를 이용하여 평균유속을 보정하여 사용한다. 이러한 유속보정계수는 만곡, 세굴, 저수로 간섭, 근고공 및 수제공 등에 적용되며 본 연구에서는 하천의 곡률에 의한 유속보정계수를 수치모의를 통해 검증하고자 한다. 하도 중심의 곡률반경의 변화에 따른 평균 유속과 국부유속의 차이를 계산하고 기 제시된 보정계수 산정식과 비교하여 산정식의 활용성에 대한 검증을 수행하였다. 본 연구를 통해 유속보정계수의 중요성과 활용성을 제고하고 하천시설물의 설계 시에 평균유속이 아닌 보정된 대표유속을 활용한다면 하천시설물에 대한 안전성을 향상시킬 수 있을 것으로 예상된다.

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Study in Radius of Corneal Curvature of university Students with Keratometer (RGP 렌즈 착용한 대학생의 각막곡률반경 측정)

  • Kim, Chang-Sik;Ryu, Kwang-Min
    • Journal of Korean Ophthalmic Optics Society
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    • v.11 no.3
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    • pp.181-185
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    • 2006
  • The measurement of the radius of corneal curvature with keratometer was followed in 184 university students who wearing RGP contact lens and consisted of female(167), male(17) and keratoconus patients(3). Overall mean value in the radius of corneal curvature is 7.77mm, and right and left eyes is appeared the same mean value. Overall mean value in horizontal and vertical is 7.88mm and 7.65mm. Horizontal means is larger than vertical means by 0.22mm of the all female and male students. Male's mean value in the radius of corneal curvature(7.84mm) is larger than female's by 0.08mm, and right and left eyes is also the same mean value. Keratoconus patients' mean value in the radius of corneal curvature(6.86mm) is smaller than others students by 0.91mm.

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Determination of Threshold Value for Extracting Shape Information of the Objects (물체의 형상정보추출에 있어서의 임계값의 선정)

  • 조동욱;이성석;김기영
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.2
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    • pp.187-195
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    • 1992
  • This paper propose on the determination of threshold values for extracting shape information of the objects. First, surface curvatures such as mean curvature and gaussian curvature is calculated from given range data. And then local surface regions are classified into the one of 8 primitives by using the sign of mean curvature H and gaussian curvature K. Also from the statistical viewpoint. the range of the zero of H and K in the range is obtained through the analysis of the relation between mean curvature and gaussian curvature. Finally, the effectiveness of the proposed mithod in this paper is demonstrated by comparing with a case, where the zero threshold is arbitrarily obtained.

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Discharge Coefficient of Side Weir for Various Radius of Curvatures (곡률반경에 대한 횡월류 위어의 유량계수 분석)

  • Ahn, Jeong-Hwan;Kim, Je-Kuk;Cho, Won-Cheol
    • Proceedings of the Korea Water Resources Association Conference
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    • 2011.05a
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    • pp.155-159
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    • 2011
  • 본 연구는 만곡수로 외측에 횡월류 위어를 설치하여 곡률반경에 대한 횡월류 유량계수의 특성을 분석하였다. 곡률반경의 변화에 따른 만곡부의 중심각이 180인 수로모형을 설계하였으며, FLOW-3D모형에 적용하여 유량계수를 산정하고 직선 수로와 비교하여 유량계수의 특성을 분석하는데 목적이 있다. 난류모형은 RNG-$\in$ 모형을 사용하였으며, 수치기법으로는 유한체적법을 사용하였다. 모형의 적용성 검정을 위해 기존에 연구되었던 수리실험과 동일한 조건의 수치모의를 수행하여 모형의 적용성을 확인하였다. 본 연구에서는 하폭를 고정시키고 곡률반경를 변화시킴으로써 $R_c/b$의 변화에 따른 유량계수(C)의 변화를 분석하고, 만곡수로의 월류량($Q_{wc}$)에 대한 직선수로의 월류량($Q_{ws}$)의 비, 만곡수로의 평균 월류 수심에 대한 직선수로의 평균 월류 수심($y_{cave}/y_{save}$)과 $R_c/b$의 관계를 분석하였다. 분석결과 유량계수는 상류수심, 월류량, 만곡수로의 곡률반경 등의 변화에 따라 유량계수는 변화하였으며, 직선과 만곡수로에 대해 분석을 수행하였기 때문에 직선수로의 영향인자를 이용하여 만곡수로에 설치된 횡월류 위어의 월류량과 유량계수를 추정 가능할 것이라 판단된다.

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Study on Distribution and Change of Curvature of the Anterior Corneal Surface with each Age in Emmetropia (정시안의 연령별 각막전면곡률 변화와 분포에 관한 연구)

  • Kim, Chan-Soo;Sung, A-Young
    • Journal of Korean Ophthalmic Optics Society
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    • v.9 no.2
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    • pp.211-221
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    • 2004
  • The purpose of this study is to evaluate the distribution and change of curvature of the anterior corneal surface with age in emmetropia. 504 subjects who have emmetroia with good naked vision of at least 0.6-1.0 (spherical equivalent: +0.75D- -0.75D) participated in this study. The 504 subjects into 8 groups with 10 year interval from 3-year to 83-year, and their corneal curvatures were analyzed using manual keratometry. The results are as follows. In individual analysis: First, regression analysis of corneal curvature radius with age has given an equation: Y = -0.003x + 7.796 (r = -0.26). The average corneal curvature radii was measured to be $7.68{\pm}0.25mm$ at 38.3-year and range was 6.98-8.54 mm. Second, frequency of corneal curvature radius were obtained in 36% between 7.61 and 7.80 mm, 78% between 7.41 and 8.00 mm, 96% between 7.21 and 8.20 mm, 100% between 6.98 and 8.54 mm. Third, as for the comparison of corneal curvature radius with respect to sex, The mean value of male (n = 304, mean: 37.6-year $7.72{\pm}0.24mm$, Range: 7.09-8.54 mm) is larger than that of female (n = 200, mean: 39.3-year $7.62{\pm}0.24mm$, Range: 6.98-8.42 mm) by 0.1mm (p<0.01). In groups analysis: First, regression analysis of corneal curvature radius with age has given an equation: $Y=-0.0066x^2+0.0227x+7.7282$ (r = -0.90). Second, vertical and horizontal curvature radius decreased with age (p < 0.01). Especially the decrease of horizontal curvature radius were more pronounced than the decrease of vertical (horizontal:10-70 age group: 0.38 mm decrease, vertical:10-70 age group: 0.20 mm decrease). Third, difference between steep and flat meridian (astigmatism) progressively decreased with age. (low age group:0.18 mm difference, high age group: 0.08 mm difference). Fourth, the corneal curvature radius of male was larger than female's in total groups(p < 0.01). Consequently, the change of corneal curvature radius with age progressively decreased in all conditions (mean, vertical, horizontal, male, and female) and this change was more outstanding in horizontal rather than in vertical.

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Energy harvesting characteristics on curvature based PVDF cantilever energy harvester due to vortex induced vibration (곡면을 가진 외팔보형 PVDF 에너지 하베스터의 와류유기진동으로 인한 에너지 수확 특성)

  • Woo-Jin Song;Jongkil Lee
    • The Journal of the Acoustical Society of Korea
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    • v.43 no.2
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    • pp.168-177
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    • 2024
  • When designing an underwater Piezoelectric Energy Harvester (PEH), Vortex Induced Vibration (VIV) is generated throughout the cantilever through a change in curvature, and the generation of VIV increases the vibration displacement of the curved cantilever PEH, which is an important factor in increasing actual power. The material of the curved PEH selected a Polyvinyline Di-Floride (PVDF) piezoelectric film, and the flow velocity is set at 0.1 m/s to 0.50 m/s for 50 mm, 130 mm, and 210 mm with various curvatures. The strain energy change of PEH by VIV was observed. The smaller the radius of curvature, the larger the VIV, and as the flow rate increased, more VIV appeared. Rapid shape transformation due to the small curvature was effective in generating VIV, and strain energy, normalized voltage, average power, etc. To increase the amount of power of the PEH, it is considered that the average power will increase as the number of curved PEHs increases as well as the steep curvature is improved.

Selection of Threshold for Complex Objects Representation from the H,K Curvatures (H,K곡률에서 세밀한 물체의 표현을 위한 임계치의 선정)

  • 조동욱
    • Proceedings of the Korea Contents Association Conference
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    • 2003.05a
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    • pp.426-429
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    • 2003
  • This paper proposes the threshold value selection for surface classification of 3-dimensional objects. Pre-existing method which uses the H-curvature and K-curvature has limitation in the practical threshold value selection. For this, this paper proposes the threshold value selection by the statistical method. Finally, the effectiveness of this paper demonstrated by experiment.

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