• 제목/요약/키워드: semi-invariant

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B-spline을 이용한 기하 모델링에서 Universal Parmetrization의 특성 (The Properties of The Universal Parametrization in Geometric Modeling Using)

  • 임충규;서영호;오원근
    • 한국정보과학회:학술대회논문집
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    • 한국정보과학회 2000년도 가을 학술발표논문집 Vol.27 No.2 (2)
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    • pp.544-546
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    • 2000
  • 이 논문에서는 CAGD 및 기하모델링 분야에서 최근 발표된 Universal Parametrization의 계산적 또는 응용적 특성을 고찰하고자 한다. Universal Parametrization을 이용하여 구한 B-spline의 곡선이나 곡면에 아주 자연스러운 특성을 가지고 있다. 뿐만 아니라, 다른 매개변수(Parametrization)을 이용하는 경우, 점들의 기하학적 분포나 곡선/곡면의 차수에 따라 결과의 차이가 심한 경우가 있으나 새로운 방법은 B-spline이라는 기초함수의 특성을 고려한 매개변수법이므로 이러한 결과의 차이를 최대한 줄이는 특성이 있다. 또한 점 데이터에 관해서 Affine Invariant하고 Semi-localness의 특성을 보인다. 이외에도, 계산적인 관점에서 강인성을 보유하고 있고, 많은 응용분야에서 쉽게 자유곡선이나 자유곡면 모델링을 할 수 있도록 한다. 한 예로, 3D 다각형 메쉬로부터 B-spline을 이용한 자유곡면 모델을 구하는 소프트웨어 툴을 설명한다.

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ON LIGHTLIKE HYPERSURFACES OF COSYMPLECTIC SPACE FORM

  • Ejaz Sabir Lone;Pankaj Pandey
    • 대한수학회논문집
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    • 제38권1호
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    • pp.223-234
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    • 2023
  • The main purpose of this paper is to study the lightlike hypersurface (M, $\overline{g}$) of cosymplectic space form $\overline{M}$(c). In this paper, we computed the Gauss and Codazzi formulae of (M, $\overline{g}$) of cosymplectic manifold ($\overline{M}$, g). We showed that we can't obtain screen semi-invariant lightlike hypersurface (SCI-LH) of $\overline{M}$(c) with parallel second fundamental form h, parallel screen distribution and c ≠ 0. We showed that if second fundamental form h and local second fundamental form B are parallel, then (M, $\overline{g}$) is totally geodesic. Finally we showed that if (M, $\overline{g}$) is umbilical, then cosymplectic manifold ($\overline{M}$, g) is flat.

Effects of Financial Crises on the Long Memory Volatility Dependency of Foreign Exchange Rates: the Asian Crisis vs. the Global Crisis

  • Han, Young Wook
    • East Asian Economic Review
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    • 제18권1호
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    • pp.3-27
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    • 2014
  • This paper examines the effects of financial crises on the long memory volatility dependency of daily exchange returns focusing on the Asian crisis in 97-98 and the Global crisis in 08-09. By using the daily KRW-USD and JPY-USD exchange rates which have different trading regions and volumes, this paper first applies both the parametric FIGARCH model and the semi-parametric Local Whittle method to estimate the long memory volatility dependency of the daily returns and the temporally aggregated returns of the two exchange rates. Then it compares the effects of the two financial crises on the long memory volatility dependency of the daily returns. The estimation results reflect that the long memory volatility dependency of the KRW-USD is generally greater than that of the JPY-USD returns and the long memory dependency of the two returns appears to be invariant to temporal aggregation. And, the two financial crises appear to affect the volatility dynamics of all the returns by inducing greater long memory dependency in the volatility process of the exchange returns, but the degree of the effects of the two crises seems to be different on the exchange rates.

영어, 독일어 그리고 한국어의 강화사 (INTENSIFIERS) -머리에 묶이지 않은 용법 (NON-HEAD-BOUND-USE)을 중심으로

  • 최규련
    • 한국언어정보학회:학술대회논문집
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    • 한국언어정보학회 2001년도 학술대회 논문집
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    • pp.199-225
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    • 2001
  • The main goal of this paper is to investigate and compare English, German and Korean non-head-bound-intensifiers such as English ‘x-self’, German ‘selbst’, and Korean ‘susulo, casin’. That is, this paper is mainly concerned with the semantic domain where the respective contributions of the expressions in question overlap. The phenomenon under discussion with the label “intensifiers” is regarded as universal, which provides the ground of the comparative/contrastive or semi-cross-linguistic study of this paper. Not only the semantic concept of intensification by these expressions but also the combination of grammatical features or syntactic behaviours thereof seem to have highly invariant common denominators among the wide varieties of languages, even if they come from apparently different language families. In comparing English, German and Korean intensifiers, this paper is interested in the more general features of the expressions in question rather than some language-specific idiocyncracies. Intensifiers work similarly not only in English and German, but also in Korean. Each of three languages under investigation provides some sort of a safegard against confusing instances and misleading judgements on the issues under discussion. Morphologically, however, English expressions in question agree with their rele-vant NP in number, gender and person. Whereas German and Korean counterparts do not have such specific morphological properties. Intensifiers in their non-head-bound-use are subject-oriented, just as in their head-bound use. Non-head-bound-intensifiers differ from head-bound-intensifiers mostly in their syntactic behaviours or distributional properties, whereas they share the semantic domain “intensification” regarding relevant subject-NP. They introduce an ordering and distinguish center and periphery, and ‘self-involvement (directness of involvement)’seems a additional possible characterisation of the relevant dimension of these intensifiers in common. An assertion of identity also can be reg

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CLASSIFICATION OF CLIFFORD ALGEBRAS OF FREE QUADRATIC SPACES OVER FULL RINGS

  • Kim, Jae-Gyeom
    • 대한수학회보
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    • 제22권1호
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    • pp.11-15
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    • 1985
  • Manddelberg [9] has shown that a Clifford algebra of a free quadratic space over an arbitrary semi-local ring R in Brawer-Wall group BW(R) is determined by its rank, determinant, and Hasse invariant. In this paper, we prove a corresponding result when R is a full ring.Throughout this paper, unless otherwise specified, we assume that R is a commutative ring having 2 a unit. A quadratic space (V, B, .phi.) over R is a finitely generated projective R-module V with a symmetric bilinear mapping B: V*V.rarw.R which is non-degenerate (i.e., the natural mapping V.rarw.Ho $m_{R}$(V,R) induced by B is an isomorphism), and with a quadratic mapping .phi.: V.rarw.R such that B(x,y)=1/2(.phi.(x+y)-.phi.(x)-.phi.(y)) and .phi.(rx) = $r^{2}$.phi.(x) for all x, y in V and r in R. We denote the group of multiplicative units of R by U9R). If (V, B, .phi.) is a free rank n quadratic space over R with an orthogonal basis { $x_{1}$,.., $x_{n}$}, we will write < $a_{1}$,.., $a_{n}$> for (V, B, .phi.) where the $a_{i}$=.phi.( $x_{i}$) are in U(R), and denote the space by the table [ $a_{ij}$ ] where $a_{ij}$ =B( $x_{i}$, $x_{j}$). In the case n=2 and B( $x_{1}$, $x_{2}$)=1/2 we reserve the notation [a $a_{11}$, $a_{22}$] for the space. A commutative ring R having 2 a unit is called full [10] if for every triple $a_{1}$, $a_{2}$, $a_{3}$ of elements in R with ( $a_{1}$, $a_{2}$, $a_{3}$)=R, there is an element w in R such that $a_{1}$+ $a_{2}$w+ $a_{3}$ $w^{2}$=unit.TEX>=unit.t.t.t.

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드 브루인 수열을 이용한 효과적인 위치 인식 마커 구성 (Effective Marker Placement Method By De Bruijn Sequence for Corresponding Points Matching)

  • 박경미;김성환;조환규
    • 한국콘텐츠학회논문지
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    • 제12권6호
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    • pp.9-20
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    • 2012
  • 컴퓨터비전에서 안정적으로 대응점을 획득하는 것은 매우 중요한 일이다. 그러나 이들은 스케일, 조명, 시점 등이 변하는 환경에서 정확한 대응점을 찾는 과정은 쉽지 않다. SIFT 알고리즘은 객체의 모서리나 꼭지점으로부터 추출한 특징벡터를 사용하므로 스케일링, 회전, 조명변화를 가지는 영상에서도 뛰어난 매칭을 수행한다. 그러나 SIFT는 엣지에 의해 특징점을 추출하므로 엣지가 존재하지 않는 영역에서는 원하는 대응점을 찾을 수 없다. 본 연구는 SIFT에 의한 대응 특징점 추출과 매칭 성능을 향상시키기 위한 마커 모양 및 배치 방법을 제안한다. 제안 방법에서 사용한 마커의 모양은 부착 방향에 따라 SIFT 알고리즘에 의해 한 방향으로 우세한 벡터를 검출할 수 있는 반원형(SemiCircle)으로 구성한다. 그리고 대응점 매칭의 성능을 향상시키기 위하여 마커의 방향 배치는 드 브루인 수열(De Bruijn Sequence)을 이용한다. 실험을 통해 제안한 방법이 기존의 방법보다 더 정확한 특징점 검출과 매칭에 효과적임을 증명하였다.