• Title/Summary/Keyword: Arc Length

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BERTRAND CURVES IN NON-FLAT 3-DIMENSIONAL (RIEMANNIAN OR LORENTZIAN) SPACE FORMS

  • Lucas, Pascual;Ortega-Yagues, Jose Antonio
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.4
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    • pp.1109-1126
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    • 2013
  • Let $\mathbb{M}^3_q(c)$ denote the 3-dimensional space form of index $q=0,1$, and constant curvature $c{\neq}0$. A curve ${\alpha}$ immersed in $\mathbb{M}^3_q(c)$ is said to be a Bertrand curve if there exists another curve ${\beta}$ and a one-to-one correspondence between ${\alpha}$ and ${\beta}$ such that both curves have common principal normal geodesics at corresponding points. We obtain characterizations for both the cases of non-null curves and null curves. For non-null curves our theorem formally agrees with the classical one: non-null Bertrand curves in $\mathbb{M}^3_q(c)$ correspond with curves for which there exist two constants ${\lambda}{\neq}0$ and ${\mu}$ such that ${\lambda}{\kappa}+{\mu}{\tau}=1$, where ${\kappa}$ and ${\tau}$ stand for the curvature and torsion of the curve. As a consequence, non-null helices in $\mathbb{M}^3_q(c)$ are the only twisted curves in $\mathbb{M}^3_q(c)$ having infinite non-null Bertrand conjugate curves. In the case of null curves in the 3-dimensional Lorentzian space forms, we show that a null curve is a Bertrand curve if and only if it has non-zero constant second Frenet curvature. In the particular case where null curves are parametrized by the pseudo-arc length parameter, null helices are the only null Bertrand curves.

Comparison of Soil Loss Estimation using SWAT and SATEEC (SWAT과 SATEEC 모형을 이용한 토양유실량 비교)

  • Park, Youn-Shik;Kim, Jong-Gun;Heo, Sung-Gu;Kim, Nam-Won;Lim, Kyung-Jae
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.1295-1299
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    • 2008
  • Soil erosion is a natural process and has been occurring in most areas in the watershed. However, accelerated soil erosion rates have been causing numerous environmental impacts in recent years. To reduce soil erosion and sediment inflow into the water bodies, site-specific soil erosion best management practices (BMPs) need to be established and implemented. The most commonly used soil erosion model is the Universal Soil Loss Equation (USLE), which have been used in many countries over 30 years. The Sediment Assessment Tool for Effective Erosion Control (SATEEC) ArcView GIS system has been developed and enhanced to estimate the soil erosion and sediment yield from the watershed using the USLE input data. In the last decade, the Soil and Water Assessment Tool (SWAT) model also has been widely used to estimate soil erosion and sediment yield at a watershed scale. The SATEEC system estimates the LS factor using the equation suggested by Moore and Burch, while the SWAT model estimates the LS factor based on the relationship between sub watershed average slope and slope length. Thus the SATEEC and SWAT estimated soil erosion values were compared in this study. The differences in LS factor estimation methods in the SATEEC and SWAT caused significant difference in estimated soil erosion. In this study, the difference was -51.9%(default threshold)$\sim$-54.5%(min. threshold) between SATEEC and non-patched SWAT, and -7.8%(default threshold)$\sim$+3.8%(min. threshold) between SATEEC and patched SWAT estimated soil erosion.

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Estimating Surface Orientation Using Statistical Model From Texture Gradient in Monocular Vision (단안의 무늬 그래디언트로 부터 통계학적 모델을 이용한 면 방향 추정)

  • Chung, Sung-Chil;Choi, Yeon-Sung;Choi, Jong-Soo
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.7
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    • pp.157-165
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    • 1989
  • To recover three dimensional information in Shape from Texture, the distorting effects of projection must be distinguished from properties of the texture on which the distortion acts. In this paper, we show an approximated maximum likelihood estimation method in which we find surface orientation of the visible surface (hemisphere) in gaussian sphere using local analysis of the texture. In addition, assuming that an orthogonal projection and a circle is an image formation system and a texel (texture element) respectively, we drive the surface orientation from the distribution of variation by means of orthogonal projection of a tangent direction which exists regularly in the arc length of a circle. We present the orientation parameters of textured surface with slant and tilt in gradient space, and also the surface normal of the resulted surface orientationas as needle map. This algorithm is applied to geographic contour (artificially generated chejudo) and synthetic texture.

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Verification of Landslide Hazard using RS and GIS Methods (RS와 GIS 기법을 활용한 산사태 위험성의 검증)

  • Cho, Nam-Chun;Choi, Chul-Uong;Jeon, Seong-Woo;Han, Kyung-Soo
    • Journal of the Korean Association of Geographic Information Studies
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    • v.9 no.2
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    • pp.54-66
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    • 2006
  • Korea Forest Service made the landslide hazard map for all mountainous districts over the country in May 2005. In this study, we selected landslide areas occurred in Jeonbuk from 02 August 2005 to 03 August 2005 as the study area. We extracted landslide areas using images taken by PKNU 3 System, which was developed by PE&RS Laboratory in Dept. of Satellite Information Sciences, Pukyong National University and verified the accuracy of landslide hazard map by overlaying landslide hazard areas extracted by PKNU 3 images. And we analyzed characteristics of an altitude, a gradient, an inclined direction, a flow length, a flow accumulation for landslide areas using mountainous terrain analysis and Stream Network analysis of ArvView 3.3. As a result of this study, it is necessary to adjust the unitage(%) by the class and to modify and improve the score table for prediction of landslide-susceptible area forming the foundation of making the landslide hazard maps.

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Buckling and Postbuckling Behavior of Stiffened Laminated Composite Panels (보강된 복합적층 판넬의 좌굴 및 좌굴후 거동 연구)

  • Lee, In-Cheol;Gyeong, U-Min;Gong, Cheol-Won;Hong, Chang-Seon;Kim, Cheon-Gon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.10
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    • pp.3199-3210
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    • 1996
  • The buckling and postbuckling behaviors were sutdied analytically and experimentally for stiffened laminated composite panels under compression loading. The panels with I-, blade, -and hat-shapeed stiffeners were investigated. In the analysis, the stiffened panels were anlyzed using the nonlinear finite element method combined with an improved arc-length method. The progressive failure analysis was done by adopting the maximum stress criterion and complete unloading failure model. The effects of the fiber angles were investigated on the buckling and postbuckling behaviors. In the experiment, the web and the lower cap of each stiffener were formed by the continuous lay-up of the skin for cocuring the stiffened panels. Therefore, the separation between stiffener and skin was not found in the junction part even after postbuckling ultimate load and the stiffened panels had excellent postbuckling load carrying capacity. A shadow moire thchnique was used to monitor the out-of-plane deformations of the panels. The piezoelectric films were attached to the panels to get the failure characteristics of the panel. The analytical results on the buckling load, postbuckling ultimate load, and failure pattern showed good agreement with the experimental results.

Potential Soil Loss Prediction for Land Resource Management in the Nakdong River Basin (토지자원관리를 위한 낙동강 유역의 잠재적 토양유실량 산정)

  • Oh, Jeong-Hak;Jung, Sung-Gwan
    • Journal of Korean Society of Rural Planning
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    • v.11 no.2 s.27
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    • pp.9-19
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    • 2005
  • The purpose of this study is to analyze the potential soil loss and hazard zone by the Revised Universal Soil Loss Equation(RUSLE) for preservation and management of land resources which is the base of ecosystem, and to grasp the relationship between RUSLE factors in the Nakdong River Basin. All thematic maps used in RUSLE are constructed through GIS and spatial analysis method derived from digital topographic maps, detailed soil maps, land-cover maps, and mean annual precipitation of 30 years collected respectively from National Geographic Information Institute, National Institute of Agricultural Science and Technology, and Ministry of Environment. The slope length of LS-factor that takes much times by the study area's wideness was calculated automatically through AML(Arc Macro Language) program developed by Van Remortel et al.(2001, 2003). The results are as follows; First, according to the soil loss estimation by the RUSLE, it shows that approximately 82% of the study area have relatively lower possibility of soil loss which is the 1 ton/ha in annual soil loss. While, 9.4% ($2,228km^2$) needed intensive and continuous management for soil loss. Because the amount of their annual soil loss was greater than 10 ton/ha that is optimum level suggested by Morgan(1995). For these areas, the author believe that a new approach which can minimize environmental impacts from soil loss through improvement of cultivation process and buffer forest zone should be applied. Second, according to the relationship between the RUSLE factors, topographical(LS-factor) and cover management(C-factor) conditions have a lot of influence on soil loss in case of the Nakdong River Basin. However, because of RUSLE factor's influence that affect to soil loss might be different based on the variety of spatial hierarchy and extent, it is necessary to analyze and evaluate factor's relationship in terms of spatial hierarchy and extent through field observations and further studies.

Characteristics of Citizens' Access to Outdoor Exercise Places by Using the GIS - Focused on the Users of the Outdoor Exercise Equipment Installed in Parks, Seoul - (GIS를 이용한 도시민의 야외 운동장소 접근 특성 분석 - 서울시 공원의 운동기구 사용자를 중심으로 -)

  • Lee, Yeunsook;Gu, Naeun;Lee, Dongjoo
    • KIEAE Journal
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    • v.13 no.2
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    • pp.67-76
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    • 2013
  • The purpose of this study is to analyze the accessibility to the place for outdoor exercise. For that, the departure (resident) location of the users of outdoor exercise equipment within 12 parks in Seoul have been investigated. A total of 1,733 people have been surveyed during the two-week period between Aug.2 and Aug. 15 and 815 cases were analyzed. We also investigated demographic characteristics, access method and related factors such as location, climate and visiting time. The results were coded through ArcGis program and the accessibility to each exercise location, difference in regional accessibility and accessibility characteristics in terms of climate and time have been analyzed. The results are as follows: First, visitors to the Han River start from the places further than the visitors to the streamlines. Second, the average moving distance is longer for the users aged under-60 than for the users aged 60 and over to reach the exercise place. And the average moving distance for visitors to the Han River destination is the longest with 748 meters, followed by 203 meters for general parks and 92 meters for streamline parks, respectively. Third, in each non-waterfront parks, the moving distance by users under-60 was longer by about 230 meters than that by users 60 and over. Fourth, exercisers in the weekend travel more by 244 meters than those during the midweek users to reach the exercise place. Fifth, the number of visitors to the Han River increased in the weekend while visitors to the streamlines decreased in the same period. Sixth, the traveling length for bicycle users is three times as much as that for pedestrian visitors. And the departure locations of bicycle users were more widely distributed.

A New Discovery of The Upper Pleistocene Child's Skeleton from Hungsu Cave (Turubong Cave Complex), Ch'ongwon, Korea (청원 "두루봉 흥수굴"에서 발굴한 후기 홍적세 어린아이뼈 연구)

  • Sun-Joo Park;Yung-Jo Lee
    • The Korean Journal of Quaternary Research
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    • v.4 no.1
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    • pp.1-13
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    • 1990
  • The first well-preserved an immature fossil skeleton of Pleistocene age in South Korea was found at the quarry of Hungsu cave which consists of the Turubong Cave Complex, Ch'ongwon, Korea. This fossil remain has been designated as "Hungsu Cave Child". Associated with the individual were a small number of stone artifacts. While a precise date for this site is not available yet, the presence of fauna would suggest a warm period of an Upper Pleistocene date. Metric and non-metric methods are used for the description of the Hungsu child's skeleton. This fossil has been assigned a developmental age of 5 years, but can be considered to be the range of 4 to 6 years. Estimated cranial capacity ranged from 1,260 to 1,300 CC and the estimated stature from 110 to 120cm. The Hungsu child is differentiated by the superiority in size of skull, cranial length and height, and, most significantly, its greater parietal arc. On the basis of comparison of the total cranical characteristics of Hungsu child and other samples including hominid fossils and modern man of East Asia, it is assumed that Hungsu child can currently, be classified as "an anatomically modern man or anatomically Homo sapiens". Homo sapiens".uot;.

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Analysis of a Simulated Optical GSO Survey Observation for the Effective Maintenance of the Catalogued Satellites and the Orbit Determination Strategy

  • Choi, Jin;Jo, Jung Hyun;Yim, Hong-Suh;Choi, Young-Jun;Son, Ju-Young;Park, Sun-youp;Bae, Young-Ho;Roh, Dong-Goo;Cho, Sungki
    • Journal of Astronomy and Space Sciences
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    • v.32 no.3
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    • pp.237-245
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    • 2015
  • A strategy is needed for a regional survey of geosynchronous orbits (GSOs) to monitor known space objects and detect uncataloged space objects. On the basis of the Inter-Agency Debris Committee's recommendation regarding the protected region of geosynchronous Earth orbit (GEO), target satellites with perigee and apogee of $GEO{\pm}200km$ and various inclinations are selected for analysis. The status of the GSO region was analyzed using the satellite distribution based on the orbital characteristics in publicly available two-line element data. Natural perturbation effects cause inactive satellites to drift to two stable longitudinal points. Active satellites usually maintain the designed positions as a result of regular or irregular maneuver operations against their natural drift. To analyze the detection rate of a single optical telescope, 152 out of 412 active satellites and 135 out of 288 inactive satellites in the GSO region were selected on the basis of their visibility at the observation site in Daejeon, Korea. By using various vertical view ranges and various numbers of observations of the GSO region, the detection efficiencies were analyzed for a single night, and the numbers of follow-up observations were determined. The orbital estimation accuracies were also checked using the arc length and number of observed data points to maintain the GSO satellite catalog.

Straightness Measurement Technique for a Machine Tool of Moving Table Type using the Profile Matching Method (이동테이블형 공작기계에서의 형상중첩법을 이용한 진직도 측정기술)

  • 박희재
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.04b
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    • pp.400-407
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    • 1995
  • The straightness property is one of fundamental geometric tolerances to be strictly controlled for guideways of machine tools and measuring machines. The staightness measurement for long guideways was usually difficult to perform, and it needed additional equipments or special treatment with limited application. In this paper, a new approach is proposed using the profile matching technique for the long guideways, which can be applicable to most of straghtness measurements. An edge of relativelly sthort length is located along a divided section of a long guideway, and the local straightness measurement is performed. The edge is then moved to the next section with several positions overlap. After thelocal straightness profile is measured for every section along the long guideway with overlap, the global straightness profile is constructed using the profile matching technique based on theleast squares method. The proposed techinique is numerically tested for two cases of known global straightness profile arc profile and irregular profile and those profiles with and without random error intervention, respectively. When norandom errors are involved, the constructed golval profile is identical to the original profile. When the random errors are involved, the effect of the number of overlap points are investigated, and it is also found that the difference between the difference between the constructed and original profiles is very close to the limit of random uncertainty with juist few overlap points. The developed technique has been practically applied to a vertical milling machine of moving table type, and showed good performance. Thus the accuracy and efficiency of the proposed method are demonstrated, and shows great potential for variety of application for most of straightness measuirement cases using straight edges, laser optics, and angular measurement equipments.

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