• Title/Summary/Keyword: $L^{\infty}$거리

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A Parallel Algorithm for Constructing the Delaunay Triangulation in the$L_\infty(L_1)$ Metric ($L_\infty(L_1)$디루니 삼각분할의 병렬처리 알고리즘)

  • Wi, Yeong-Cheol
    • Journal of KIISE:Computer Systems and Theory
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    • v.28 no.3
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    • pp.155-160
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    • 2001
  • 본 논문은 영역별 근접 그래프 (geographic nearest neighbor graph)와 레인지 트리 (range tree)를 이용하여 평면 위의 n 개의 점에 대한 L$_{\infty}$ (L$_1$) 거리 (metric) 상의 디루니 삼각분할 (Delaunay triangulation)을 구축하는 방법을 소개한다. 이 방법은 L$_{\infty}$ (L$_1$) 거리 상에서 디루니 삼각분할에 있는 각 삼각형의 최소한 한 선분이 영역별 근접 그래프에 포함됨을 이용하여 레인지 트리 방법으로 디루니 삼각분할을 구축한다. 본 방법은 0(nlogn)의 순차계산 시간에 L$_{\infty}$ (L$_1$) 디루니 삼각분할을 구축하며, CREW-PRAM (Concurrent Read Exclusive Write Parallel Random Access Machine)에서 0(n)의 프로세서로 0(logn)의 병렬처리 시간에 L$_{\infty}$ (L$_1$) 디루니 삼각분할을 구축한다. 또한, 이 방법은 직선간의 교차점 계산 대신 거리비교를 하기 때문에 수치오차가 적고 구현이 용이하다.

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A Parallel Algorithm for Construting the Delaunay Triangulation in the $\textrm{L}_\infty$($\textrm{L}_{1}$) Metric (디루니 삼각분할의 병렬처리 알고리즘)

  • 위영철;황시영
    • Proceedings of the Korean Information Science Society Conference
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    • 2000.10a
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    • pp.545-547
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    • 2000
  • 본 논문은 영역별 근접 그래프(geographic nearest neighbor graph)와 레인지 트리(range tree)를 이용하여 평면 위의 n 개의 점에 대한 L$\infty$(L1) 거리(metric) 상의 디루니 삼각분할(Delaunay triangulation)을 구축하는 방법을 소개한다. 이 방법은 L$\infty$(L1) 거리상에서 디루니 삼각분할에 있는 각 삼각형의 최소한 한 선분이 영역별 근접 그래프에 포함됨을 이용하여 레인지 트리 방법으로 디루니 삼각분할을 구축한다. 본 방법은 O(nlogn)의 순차계산 시간에 L$\infty$(L1) 디루니 삼각분할을 구축하며, CREW-PRAM (Concurrent Read Exclusive Write Programmable Random Access Machine)에서 O(n)의 프로세서로 O(logn)의 병렬처리 시간에 L$\infty$(L1) 디루니 삼각분할을 구축한다. 또한, 이 방법은 직선간의 교차점 계산 대신 거리비교를 하기 때문에 수치오차가 적고 구현이 용이하다.

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A Dynamic Delaunay Triangulation in the L(L1) Metric (L(L1) 동적 디루니 삼각분할 방법)

  • Wee, Youngcheul;Kimn, Hajine;Seo, Sangku
    • Journal of the Korea Computer Graphics Society
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    • v.6 no.4
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    • pp.23-28
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    • 2000
  • We introduce a new method for constructing a dynamic Delaunay triangulation for a set S of n sites in the plane under the $L_{\infty}(L_1)$ metric. We find that the quadrant neighbor graph is contained in the Delaunay triangluation and that at least one edge of each triangle in the Delaunay triangulation is contained in the quadrant neighbor graph. By using these observations and employing a range tree scheme, we present a method that dynamically maintains the $L_{\infty}(L_1)$ Delaunay triangulation under insertions and deletions in $O(log^2n)$ amortized time and O(log n) expected time.

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Knot Removal of B-spline Curves using Hausdorff Distance (하우스도르프 거리를 이용한 B-spline 곡선의 낫제거)

  • Oh, Jong-Seok;Yoon, Seung-Hyun
    • Journal of the Korea Computer Graphics Society
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    • v.17 no.3
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    • pp.33-42
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    • 2011
  • We present a new technique for removing interior knots of parametric B-spline curves. An initial curve is constructed by continuous $L_{\infty}$ approximation proposed by Eck and Hadenfeld. We employ Hausdorff distance to measure the shape difference between the original curve and the initial one. The final curve is obtained by minimizing their Hausdorff distance. We demonstrate the effectiveness of our technique with experimental results on various types of planar and spatial curves.

Fitting a Piecewise-quadratic Polynomial Curve to Points in the Plane (평면상의 점들에 대한 조각적 이차 다항식 곡선 맞추기)

  • Kim, Jae-Hoon
    • Journal of KIISE:Computer Systems and Theory
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    • v.36 no.1
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    • pp.21-25
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    • 2009
  • In this paper, we study the problem to fit a piecewise-quadratic polynomial curve to points in the plane. The curve consists of quadratic polynomial segments and two points are connected by a segment. But it passes through a subset of points, and for the points not to be passed, the error between the curve and the points is estimated in $L^{\infty}$ metric. We consider two optimization problems for the above problem. One is to reduce the number of segments of the curve, given the allowed error, and the other is to reduce the error between the curve and the points, while the curve has the number of segments less than or equal to the given integer. For the number n of given points, we propose $O(n^2)$ algorithm for the former problem and $O(n^3)$ algorithm for the latter.

On Extending the Prefix-Querying Method for Efficient Time-Series Subsequence Matching Under Time Warping (타임 워핑 하의 효율적인 시계열 서브시퀀스 매칭을 위한 접두어 질의 기법의 확장)

  • Chang Byoung-Chol;Kim Sang-Wook;Cha Jae-Hyuk
    • The KIPS Transactions:PartD
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    • v.13D no.3 s.106
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    • pp.357-368
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    • 2006
  • This paper discusses the way of processing time-series subsequence matching under time warping. Time warping enables finding sequences with similar patterns even when they are of different lengths. The prefix-querying method is the first index-based approach that performs time-series subsequence matching under time warping without false dismissals. This method employs the $L_{\infty}$ as a base distance function for allowing users to issue queries conveniently. In this paper, we extend the prefix-querying method for absorbing $L_1$, which is the most-widely used as a base distance function in time-series subsequence matching under time warping, instead of $L_{\infty}$. We also formally prove that the proposed method does not incur any false dismissals in the subsequence matching. To show the superiority of our method, we conduct performance evaluation via a variety of experiments. The results reveal that our method achieves significant performance improvement in orders of magnitude compared with previous methods.

Extension of the Prefix-Querying Method for Efficient Time-Series Subsequence Matching Under Time Warping (타임 워핑 하의 효율적인 시계열 서브시퀀스 매칭을 위한 접두어 질의 기법의 확장)

  • Chang, Byoung-Chol;Kim, Sang-Wook;Cha, Jae-Hyuk
    • Proceedings of the Korea Information Processing Society Conference
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    • 2005.11a
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    • pp.121-124
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    • 2005
  • 본 논문에서는 타임 워핑 하의 시계열 서브시퀀스 매칭을 처리하는 방법에 대하여 논의한다. 타임 워핑은 시퀀스의 길이가 서로 다른 경우에도 유사한 패턴을 갖는 시퀀스들을 찾을 수 있도록 해 주는 변환이다. 접두어 질의 기법(prefix-querying method)는 착오 기각(false dismissal) 없이 타임 워핑 하의 시계열 서브시퀀스 매칭을 처리하는 인덱스를 이용한 최초의 방식이다. 이 방법은 사용자가 질의를 편리하게 작성하도록 하기 위하여 기본 거리 함수로서 $L_{\infty}$를 사용한다. 본 논문에서는 $L_{\infty}$ 대신 타임 워핑 하의 시계열 서브시퀀스 매칭에서 기본 거리 함수로서 가장 널리 사용되는 $L_1$을 적용할 수 있도록 접두어 질의를 확장한다. 또한, 제안된 기법으로 타임 워핑 하의 시계열 서브시퀀스 매칭을 수행하는 경우 착오 기각이 발생하지 않음을 이론적으로 증명한다. 다양한 실험을 통한 성능 평가를 통하여 본 연구에서 제시하는 기법의 우수성을 검증한다. 실험 결과에 의하면, 제안된 기법은 가장 좋은 성능을 보이는 기존의 기법과 비교하여 매우 뛰어난 성능 개선 효과를 보이는 것으로 나타났다.

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Computing Symmetric Angle Restricted Nearest Neighbors using Monotone Matrix Search (단조 행렬 탐색을 이용한 양방향 각도제한 근접점 계산방법)

  • Wi, Yeong-Cheol
    • Journal of KIISE:Computer Systems and Theory
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    • v.28 no.1_2
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    • pp.64-72
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    • 2001
  • 이 논문은 행렬 탐색 방법을 이용하여 평면상의 η개의 점에 대한 모든 L$_{p}$, 1$\leq$P$\leq$$\infty$ 거리의 양방향 각도제한 근접 점 문제를 0(nlogn) 시간에 계산하는 알고리즘을 고안한다. 이 방법은 최적의 시간 복잡도를 가지며 궤적추적 법을 쓰지 않기 때문에 수치오차가 적으며 구현이 용이하고 실용적이다.

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A Numerical Study of the Effect of Non-equilibrium Condensation on the Oscillation of Shock Wave in a Transonic Airfoil Flow (비평형 응축이 충격파 진동에 미치는 영향에 관한 수치 해석적 연구)

  • Jeon, Heung Kyun;Kim, In Won;Kwon, Young Doo;Kwon, Soon Bum
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.38 no.3
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    • pp.219-225
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    • 2014
  • In this study, to find the characteristics of the oscillation of a terminating shock wave in a transonic airfoil flow with non-equilibrium condensation, a NACA00-12,14,15 airfoil flow with non-equilibrium condensation is investigated through numerical analysis of TVD scheme. Transonic free stream Mach number of 0.81-0.90 with the variation of stagnation relative humidity and airfoil thickness is tested. For the free stream Mach number 0.87 and attack angle of ${\alpha}=0^{\circ}$, the increase in stagnation relative humidity attenuates the strength of the terminating shock wave and inactivates the oscillation of the terminating shock wave. For the case of $M_{\infty}=0.87$ and ${\phi}_0=60%$, the decreasing rate in the frequency of the shock oscillation caused by non-equilibrium condensation to that of ${\phi}_0=30%$ amounts to 5%. Also, as the stagnation relative humidity gets larger, the maximum coefficient of drag and the difference between the maximum and minimum in $C_D$ become smaller. On the other hand, as the thickness of the airfoil gets larger, the supersonic bubble size becomes bigger and the oscillation of the shock wave becomes higher.

Study on the Storage of Chestnut (밤 저장(貯藏)에 관(關)한 연구(硏究))

  • Yim, Ho;Kim, Choung-Ok;Shin, Dang-Wha;Suh, Kee- Bong
    • Korean Journal of Food Science and Technology
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    • v.12 no.3
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    • pp.170-175
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    • 1980
  • A mass production of chestnut necessiates the development of economic long-term storage method. The main objective of this study was to confirm the technical aspect of the chestnut storage method which was developed by two year project and to review the method of commercial application. The chestnut used for the experiments were separated in brine $(5.5{\sim}6.0^{\circ}\:B{\acute{a}}ume)$ into matured and unmatured lots and fumigated with $CS_2$ at a 5 $lb/27\;m^3$ level for $25{\sim}30\;hrs.$ The chestnuts were packed in wooden boxes with sawdust (50% moisture) in the ratio of 1 : 1 by volume. The boxes were stored in the cold room $(1{\pm}1^{\circ}C,\;85{\sim}95%\;RH)$ and the cellar ($0{\sim}10^{\circ}C$, controlled only by circulating night cool air). The results obtained were as follows: 1. Fully matured chestnut could be successfully preserved $8{\sim}9\;months$ at a l0% decay level in the cold room and $4{\sim}5\;months$ months in cellar. 2. Immatured chestnuts wire inferior to the matured in storage stability. At the maximum storage period, its storage life was two months shorter. 3. The heat transfer equation of piled chestnuts with sawdust can be suggested as $T_{\infty}-T_0=(T_{\infty}-T_0){\cdot}10^{-t/320}$ and j and $f_h$ values were 1 and 320 min, respectively. 4. The chestnuts in the package of storage unit had longer shelf life than naked chestnut during the retail distribution at ambient temperature.

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