• 제목/요약/키워드: rational points

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KOMPSAT-2 입체영상의 자동 기하 보정 (Automatic Geometric Calibration of KOMPSAT-2 Stereo Pair Data)

  • 오관영;정형섭
    • 대한원격탐사학회지
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    • 제28권2호
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    • pp.191-202
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    • 2012
  • KOMPSAT-2와 같은 고해상 위성영상은 대상영역의 3차원 위치결정을 위하여 RPC(Rational Polynomial Coefficient)가 포함된 자료를 제공한다. 그러나 RPC로 계산된 영상기하는 일정량의 편이(systematic errors)를 지니고 있는 상태이며, 이를 보정하기 위해서는 수 개 이상의 지상기준점(ground control point)이 필요하다. 이에 본 논문에서는 지상기준점 없이 입체영상(stereo pair)과 SRTM(Shuttle Radar Topography Mission) DEM(Digital Elevation Model) 사이의 대응점(tie point)만을 이용하여 자동으로 영상 기하를 보정하는 효과적인 방법을 제안하였다. 이러한 방법은 4가지 단계를 포함 한다: 1) 대응점 추출, 2) 대응점에 대한 지상좌표 결정, 3) SRTM DEM을 이용한 지상좌표의 보정, 4) RPC 보정 모델의 파라미터 결정. 우리는 KOMPSAT-2 입체영상을 이용하여 제안된 방법의 성과를 입증하였다. 검사점(check point)을 통해 계산된 RMSE(Root Mean Square Error)는 X와 Y, Z방향으로 각각 약 3.55 m, 9.70 m, 3.58 m를 나타냈다. 이는 SRTM DEM을 이용하여 RPC가 지닌 편이를 X, Y 및 Z 모든방향에 대하여 10 m이내의 정확도로 자동보정할 수 있다는 것을 의미한다.

기하학적으로 정확한 쉘 요소의 NLib에 의해 생성된 NURBS 곡면에의 적용 (The application of geometrically exact shell element to NURBS generated by NLib)

  • 최진복;노희열;조맹효
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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    • pp.301-308
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    • 2005
  • In this study, we implement a framework that directly links a general tensor-based shell finite element to NURBS geometric modeling. Generally, in CAD system the surfaces are represented by B-splines or non-uniform rational B-spline(NURBS) blending functions and control points. Here, NURBS blending functions are composed by two parameters defined in local region. A general tensor-based shell element also has a two-parameter representation in the surfaces, and all the computations of geometric quantities can be performed in local surface patch. Naturally, B-spline surface or NURBS function could be directly linked to the shell analysis routine. In our study, we use NLib(NURBS libraray) to generate NURBS for shell finite analysis. The NURBS can be easily generated by interpolating or approximating given set of data points through NLib.

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(4+n)-noded Moving Least Square(MLS)-based finite elements for mesh gradation

  • Lim, Jae Hyuk;Im, Seyoung
    • Structural Engineering and Mechanics
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    • 제25권1호
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    • pp.91-106
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    • 2007
  • A new class of finite elements is described for dealing with mesh gradation. The approach employs the moving least square (MLS) scheme to devise a class of elements with an arbitrary number of nodal points on the parental domain. This approach generally leads to elements with rational shape functions, which significantly extends the function space of the conventional finite element method. With a special choice of the nodal points and the base functions, the method results in useful elements with polynomial shape functions for which the $C^1$ continuity breaks down across the boundaries between the subdomains comprising one element. Among those, (4 + n)-noded MLS based finite elements possess the generality to be connected with an arbitrary number of linear elements at a side of a given element. It enables us to connect one finite element with a few finite elements without complex remeshing. The effectiveness of the new elements is demonstrated via appropriate numerical examples.

대학생들의 신용카드 인식 및 사용에 관한 연구 (A Study on Credit Card Cognition and Use of College Students)

  • 이재희
    • 한국생활과학회지
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    • 제5권2호
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    • pp.99-107
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    • 1996
  • This study has been peformed on the consumption tendency, and knowledge and cognition of credit cards among college students. A total of 327 subjects from the college students was surveyed in Pusan area. The major findings of this study were summerized as follows; First, the rate of credit card possession of the students was 19.6%. The card possession showed significantly different in age, personal expense, income. Second, the level of knowledge of the credit card was low(23.1 points). Also, the level of knowledge was significantly different in sex, age, major, personal expense, income and credit card ownership. Third, the cognition of credit cards was medium(51.3 points). The cognition of the credit cards was significantly different only in the card possession. Fourth, the behavior of credit card was not significantly different in the group. Fifth, there were significant relationships between the knowlege and cognition. This result implied that the group with higer levels of knowlege tended to show more favor of credit cards. For the rational consumption of the college students, the students need to be educated about advantage and disadvantages of the credit cards.

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CORRIGENDUM ON "THE NUMBER OF POINTS ON ELLIPTIC CURVES E:y2=x3+cx OVER 𝔽 p MOD 8"

  • Inam, Ilker;Soydan, Gokhan;Demirci, Musa;BiZim, Osman;Cangul, Ismail Naci
    • 대한수학회논문집
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    • 제22권2호
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    • pp.207-208
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    • 2007
  • In this work, authors considered a result concerning elliptic curves $y^2=x^3+cx$ over $\mathbb{F}_p$ mod 8, given at [1]. They noticed that there should be a slight change at this result. They give counterexamples and the correct version of the result.

NUMBER OF WEAK GALOIS-WEIERSTRASS POINTS WITH WEIERSTRASS SEMIGROUPS GENERATED BY TWO ELEMENTS

  • Komeda, Jiryo;Takahashi, Takeshi
    • 대한수학회지
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    • 제56권6호
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    • pp.1463-1474
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    • 2019
  • Let C be a nonsingular projective curve of genus ${\geq}2$ over an algebraically closed field of characteristic 0. For a point P in C, the Weierstrass semigroup H(P) is defined as the set of non-negative integers n for which there exists a rational function f on C such that the order of the pole of f at P is equal to n, and f is regular away from P. A point P in C is referred to as a weak Galois-Weierstrass point if P is a Weierstrass point and there exists a Galois morphism ${\varphi}:C{\rightarrow}{\mathbb{p}}^1$ such that P is a total ramification point of ${\varphi}$. In this paper, we investigate the number of weak Galois-Weierstrass points of which the Weierstrass semigroups are generated by two positive integers.

이종 위성센서 영상을 이용한 에피폴라 영상 제작 (Generation of Epipolar Image Using Different Types of Satellite Sensors Images)

  • 성민규;최선용;장세진
    • 한국측량학회지
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    • 제32권1호
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    • pp.39-47
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    • 2014
  • 본 연구에서는 해상도가 서로 다른 고해상 위성영상 IKONOS-2와 SPOT-5 영상의 RPC(Rational Polynomial coefficients)와 위성보조정보 자료 등을 활용하여 해상도 조정 및 piecewise 방법을 적용하여 에피폴라(Epipolar) 영상을 제작하였다. 또한, 에피폴라 영상을 제작하기 위한 선행 작업으로 두 영상의 입체기하 분석과 RPC 블록모델링을 수행하였다. 제작된 에피폴라 영상의 정확도 평가를 위해 촬영 대상지역 중, 지형의 특성에 따라 산악지, 농경지, 도심지 및 주거지 등 육안 판독시 식별이 명확한 지점을 세분류하여 Y-시차를 분석하였으며, 이때 사용된 점을 대상으로 에피폴라 영상의 입체관측을 통해 획득한 3차원 좌표와 원영상의 블록모델링에 의해 계산된 3차원 좌표 차이의 RMSE를 계산하였다. 분석결과 Y 시차는 1 화소(pixel) 이내, RMSE 오차는 X, Y 및 Z에 대해 2m 이내임을 확인하였다.

Resonant Frequency Estimation of Reradiation Interference at MF from Power Transmission Lines Based on Generalized Resonance Theory

  • Bo, Tang;Bin, Chen;Zhibin, Zhao;Zheng, Xiao;Shuang, Wang
    • Journal of Electrical Engineering and Technology
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    • 제10권3호
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    • pp.1144-1153
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    • 2015
  • The resonant mechanism of reradiation interference (RRI) over 1.7MHz from power transmission lines cannot be obtained from IEEE standards, which are based on researches of field intensity. Hence, the resonance is ignored in National Standards of protecting distance between UHV power lines and radio stations in China, which would result in an excessive redundancy of protecting distance. Therefore, based on the generalized resonance theory, we proposed the idea of applying model-based parameter estimation (MBPE) to estimate the generalized resonance frequency of electrically large scattering objects. We also deduced equation expressions of the generalized resonance frequency and its quality factor Q in a lossy open electromagnetic system, i.e. an antenna-transmission line system in this paper. Taking the frequency band studied by IEEE and the frequency band over 1.7 MHz as object, we established three models of the RRI from transmission lines, namely the simplified line model, the tower line model considering cross arms and the line-surface mixed model. With the models, we calculated the scattering field of sampling points with equal intervals using method of moments, and then inferred expressions of Padé rational function. After calculating the zero-pole points of the Padé rational function, we eventually got the estimation of the RRI’s generalized resonant frequency. Our case studies indicate that the proposed estimation method is effective for predicting the generalized resonant frequency of RRI in medium frequency (MF, 0.3~3 MHz) band over 1.7 MHz, which expands the frequency band studied by IEEE.

미이스 반 데르 로에 주택과 르 꼬르뷔제 주택의 비교 연구 (A Comparative Study of the Houses of Mies van der Rohe and Le Corbusier)

  • 김용립
    • 한국실내디자인학회논문집
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    • 제13권5호
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    • pp.21-31
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    • 2004
  • There are probably no architects of the 20th Century who had more influence on modern architecture than Mies van der Rohe and Le Corbusier. Although the two architects share one thing in common, namely, both are master of modernism, each has developed unique architecture of his own. The objective of this study is to investigate the characteristics of their works through a comparison analysis of the Ideas, design principles and architectural language reflected in the works, focusing on the houses. this study will also aim to provide a foundation for a new design that harmonizes the design principles and architectural language of the two. Through the study the following common points and differences were found between the houses of the two. A) Common points: Both architects avoided ornamentation In houses while placing weight on the functions of houses and they tried to plan rational floor plans by separating the wall from the structure. B) Differences: \circled1 The houses of Mies express the structure in a straight forward manner, while those of Corbusier are formative houses focusing more on shapes. \circled2 The shapes of the houses of Mies are limited to basic shapes, quadrangle while those of Corbusier employ various geometric curves. \circled3 Using steel and glass, the houses of Mies are light and transparent. On the contrary, using concrete, the houses of Corbusier are somewhat bulky with Three-dimensional changes. \circled4 The houses of Mies show the value of moderation based upon the classical principles of design, while the houses of Corbusier show the value of moderation based upon geometry. \circled5 The houses of Mies feature horizontal intoners with flexibility. However, Corbusier's houses have vertical interiors with some changes in the cross sections. \circled6 In terms of material, the interiors of Mies' houses employ materials with various tones and textures, while interiors of Corbusier's houses are painted in simple white. Summing up these characteristics, it could be said that the houses of Mies have logical and rational beauty, whereas the houses of Corbusier have more emotional beauty.

Influence of end fixity on post-yield behaviors of a tubular member

  • Cho, Kyu Nam
    • Structural Engineering and Mechanics
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    • 제13권5호
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    • pp.557-568
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    • 2002
  • For the evaluation of the capability of a tubular member of an offshore structure to absorb the collision energy, a simple method can be employed for the collision analysis without performing the detailed analysis. The most common simple method is the rigid-plastic method. However, in this method any characteristics for horizontal movement and rotation at the ends of the corresponding tubular member are not included. In a real structural system of an offshore structure, tubular members sustain a certain degree of elastic support from the adjacent structure. End fixity has influences in the behaviors of a tubular member. Three-dimensional FEM analysis can include the effect of end fixity fully, however in viewpoints of the inherent computational complexities of the 3-D approach, this is not the recommendable analysis at the initial design stage. In this paper, influence of end fixity on the behaviors of a tubular member is investigated, through a new approach and other approaches. A new analysis approach that includes the flexibility of the boundary points of the member is developed here. The flexibility at the ends of a tubular element is extracted using the rational reduction of the modeling characteristics. The property reduction is based on the static condensation of the related global stiffness matrix of a model to end nodal points of the tubular element. The load-displacement relation at the collision point of the tubular member with and without the end flexibility is obtained and compared. The new method lies between the rigid-plastic method and the 3-demensional analysis. It is self-evident that the rigid-plastic method gives high strengthening membrane effect of the member during global deformation, resulting in a steeper slope than the present method. On the while, full 3-D analysis gives less strengthening membrane effect on the member, resulting in a slow going load-displacement curve. Comparison of the load-displacement curves by the new approach with those by conventional methods gives the figures of the influence of end fixity on post-yielding behaviors of the relevant tubular member. One of the main contributions of this investigation is the development of an analytical rational procedure to figure out the post-yielding behaviors of a tubular member in offshore structures.