• Title/Summary/Keyword: 단조 다각형

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Linear Algorithm for Finding a Shortest Watchman Route with Minimum Links in Monotone Polygons (단조다각형에서 최소 개수의 링크를 가진 최단 경비원경로를 구하는 선형 알고리즘)

  • Ryu, Sang-Ryul
    • Journal of KIISE:Computer Systems and Theory
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    • v.26 no.11
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    • pp.1437-1445
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    • 1999
  • n개의 꼭지점을 가진 단조(monotone) 다각형은 2차원 평면상의 임의의 선분에 단조 적인 2개의 체인으로 구성된다. 단조 다각형의 내부를 경로 상에서 모두 감시할 수 있는 최소 링크를 가진 경비원 경로(watchman route with minimum links)는 최소 개수의 선분으로 구성된 경로로서 하나 이상 존재할 수 있다. 본 논문에서는 단조 다각형의 최소 링크를 가진 경비원 경로들 중에서 최단 경비원 경로를 구하는 O(n) 시간의 알고리즘을 제시한다.Abstract A monotone polygon consists of n vertices and is a union of two monotone chains with respect to some line segment in the plane. A watchman route with minimum-links is a polygonal path such that each point in the interior of the polygon can be visible from at least one point along the route. There may be more than one watchman route with minimum links for given monotone polygon. In this paper, we present an algorithm with O(n) time that finds a shortest watchman route among the watchman routes with minimum links in a monotone polygon.

A Morphing Algorithm of Simple Polygons using Decomposition into Monotone Pieces (단조 다각형 분할을 이용한 다각형의 형태 변환 알고리즘)

  • 이주희;이상호
    • Proceedings of the Korean Information Science Society Conference
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    • 1999.10a
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    • pp.664-666
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    • 1999
  • 형태 변환이란 컴퓨터 그래픽스의 중요한 기본 연산중의 하나로, 하나의 그림이나 물체로부터 또 다른 그림이나 물체로 그 모양이 변화하는 과정을 연속적으로 보여주는 연산이다. 일반적으로 이 연산을 두 그림 사이의 대응이 되는 점들을 지정하고 각 점들이 변화하는 과정을 표현하기 위해 필요한 중간 단계를 생성하기 위해서 복잡한 함수를 계산하는 방법을 사용하여왔다. 이러한 방법은 많은 양의 계산이 요구된다. 본 논문에서는 수학적인 계산이 아니라 자료구조를 사용한 연산(operation)을 이용하는 새로운 형태 변환 알고리즘을 제안한다. 여기서 제안하는 알고리즘은 2차원 단순 다각형을 그보다 단순한 위상을 갖는 단조 다각형으로 분할하고, 각 단조 다각형을 삼각 분할하여 얻어진 듀얼 트리를 이용하여 형태를 변환하는 알고리즘이다. 사실적인 효과를 극대화하기 위해서는 될 수 있는 한 많은 중간 단계를 생성해야 하는데, 기존의 함수 계산이 아닌 트리를 이용한 연산을 함으로써 그 과정을 단순화 할 수 있다는 것이 본 알고리즘의 가장 큰 특징이다.

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A Triangulation and Guard Sufficiency Set of the Hierarchy of Simple Polygons (단순 다각형 계층구조에서의 삼각화와 경비가능충분집합)

  • Yang, Tae-Cheon
    • The KIPS Transactions:PartA
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    • v.15A no.5
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    • pp.295-300
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    • 2008
  • In this paper, we consider a characterization of a Guard Sufficiency Set(GSS) in the hierarchy of simple polygons. we propose the diagonals of a arbitrary triangulation of a polygon as a GSS when guards see the diagonals with completely visibility and both sides of the diagonal. we show that this can be a GSS in convex polygons, unimodal polygons, spiral polygons but this can not be a GSS in star-shaped polygons, monotone polygons, completely external visible polygons.

Fast Algorithms for Computing the Shortest Path between Two Points inside a Simple Polygon (다각형 내부에 있는 두 점 사이의 최단 경로를 구하는 빠른 알고리즘)

  • Kim, Soo-Hwan;Lim, Intaek;Choi, Jinoh;Choi, Jinho
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2009.10a
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    • pp.807-810
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    • 2009
  • In this paper, we consider the shortest path problems in a simple polygon. The shortest path between two points inside a polygon P is a minimum-length path among all paths connecting them which don't pass by the exterior of P. A linear time algorithm for computing the shortest path in a general simple polygon requires triangulating a polygon as preprocessing. The linear time triangulating is known to very complex to understand and implement it. It is also inefficient in cases without very large input size. In this paper, we present the customized shortest path algorithms for specific polygon classes such as star-shaped polygons, edge-visible polygons, and monotone polygons. These algorithms need not triangulating as preprocessing, so they are simple and run very fast in linear time.

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Minimum Histogram for Given Turn Sequences (주어진 회전 수열에 대한 최소 히스토그램)

  • Kim, Jae-hoon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.23 no.9
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    • pp.1146-1151
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    • 2019
  • Histogram H is an x-monotone rectilinear polygon with a horizontal edge, called by a base, connecting the leftmost vertical edge and the rightmost vertical edge. Here the rectilinear polygon is a polygon with only horizontal and vertical edges and the x- monotone polygon P is a polygon in which every line orthogonal to the x-axis intersects P at most twice. Walking counterclockwise on the boundary of a histogram H yields a sequence of left turns and right turns at its vertices. Conversely, a given sequence of the turns at the vertices can be realized by a histogram. In this paper, we consider the problem of finding a histogram to realize a given turn sequence. Particularly, we will find the histograms to minimize its area and its bounding box. It will be shown that both of the problems can be solved by linear time algorithms.

A Study on the Metallurgical Characteristic of Hammer Scale Produced through Traditional Iron-making Experiments (전통 제철실험을 통해 생산된 단조박편의 재료과학적 특성 연구)

  • Cho, Sung Mo;Cho, Nam Chul
    • Journal of Conservation Science
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    • v.37 no.6
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    • pp.738-747
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    • 2021
  • This study attempted to investigate the metallurgical characteristic through material scientific analysis of hammer scale produced as a direct smelting method restoration experiment for each raw material of iron. To this end, four hammer scale groups were set up, respectively, by experimenting with Gyeongju-Gampo Iron sand and Yangyang Iron ore. For the analysis, principal component analysis, compound analysis, microstructure observation, and chemical composition were confirmed. As a result of principal component analysis, as forging and refining progressed, the content of Fe increased and the content of non-metallic objects decreased. As a result of compound analysis, iron oxide-based compounds were identified. As a result of confirming microstructure and chemical composition, Wüstite and Fayalite were observed overall, and agglomerated Wüstite were observed in some. Magnetite on shape of polygon and pillar was observed. In addition, it was confirmed that internal defects, impurities, and non-metallic interventions gradually decreased. In the future, it is necessary to investigate the metallurgical characteristic through material scientific analysis of hammer scale produced through restoration experiments using various raw material of iron, and compare them with those excavated from Iron manufacture ruins.

A Study on the Automated Process Planning System for Cold Forging of Non-axisymmetric Parts (비축대칭 제품의 냉간단조 공정설계시스템에 관한 연구)

  • Lee, Bong-Gyu;Jo, Hae-Yong;Gwon, Hyeok-Hong
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.2
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    • pp.195-202
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    • 2002
  • An automated process planning system for cold forging of non-axisymmetric parts of comparatively simple shape was developed in this study. Programs for the system have been written with Visual LISP in the AutoCAD using a personal computer and are composed of four main modules such as input module, shape cognition and shape expression module, material diameter determination module and process planning module. The design rules and knowledges for the system are extracted from the plasticity theories, handbook, relevant reference and empirical knowledge of field experts. Generally, in forging, only front view is needed for expression of axisymmetric parts, but non-axisymmetric parts need front and plane view. At the plane, this system cognizes the external shape of non-axisymmetric, parts - number of sides of regular polygon and radius of a circle circumscribing the polygon of n sides. At the front view, the system perceives diameter of axisymmetric portions and height of primitive geometries such as polygon, cylinder, cone, concave, convex, etc.

A UBET Analysis of the Extrusion/Forging Process of Polygonal Headed Bars (다각형의 머리를 가진 봉의 압출/단조 공정에 관한 UBET 해석)

  • Kim, Myung-Hun;Hwang, Bum-Chul;Kim, Ho-Yoon;Bae, Won-Byong
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.9
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    • pp.110-116
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    • 1999
  • A new KAVF(kinematically-admissible velocity field) is proposed to determine the forming load, the average extruded length and the flow pattern is the extrusion/forging process of polygonal headed bars. Experiments are carried out with lead billets at room temperature using regular polygonal shaped punches. The theoretical predictions of the forming load and the average extruded length are in good agreement with the experimental results.

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Microstructural Change by Hot Forging Process of Korean Traditional Forged High Tin Bronze (전통기술로 제작된 방짜유기의 열간 단조 과정별 미세조직 변화)

  • Lee, Jae-sung;Jeon, Ik-hwan;Park, Jang-sik
    • Journal of Conservation Science
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    • v.34 no.6
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    • pp.493-502
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    • 2018
  • Currently, the fabrication of a high-tin bronze spoon by traditional manufacturing techniques involves 10 steps in the bronze ware workshop. Hot forging has a major influence on manufacturing and involves two to three steps. The dendritic ${\alpha}$-phase in the microstructure of the high-tin bronze spoon is refined and finely dispersed through hot forging. In addition, twinning is observed in the ${\alpha}$-phase of the hammered part, and the ${\alpha}$-phase microstructure gradually transform from a polygon to a circular shape due to hammering. In this process, the adjacent ${\alpha}$-phases overlap with each other and remain combined after quenching. The microstructure with the overlapping is also observed in bronze artifacts, and this shows the correlation with technical system. The results of the experimental hot forging of Cu-22%Sn alloys show that the decrease in in the amount of the dendritic microstructure, which forms during casting, is in proportion to the number of processing steps and that the refined grain obtained by hammering contributes to the improvement in the strength of the material. From the hammering marks, which are observed on both the bronze artifact excavated from archaeological sites and on the high-tin bronze spoon produced in the traditional workshop, it is presumed that the knowledge regarding the unrecorded manufacturing system of bronze ware in ancient times has been passed down in a traditional way up to the system used currently.

Fabrication of AC4A/$SiC_w$composite by squeeze casting(II) (용탕단조법에 의한 AC4A/$SiC_w$복합재교 제조에 관한 연구(ll)-가압력 및 시효특성-)

  • Mun, Gyeong-Cheol;Lee, Chun-Hui
    • Korean Journal of Materials Research
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    • v.3 no.6
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    • pp.606-613
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    • 1993
  • This was studied about aging characteristic of AC4A/$SiC_{w}$ 10-30v/o reinforced composite. Aging hardenability was decreased $SiC_{w}$ 30% > 10% > 20%. Aging hardening of T6 treatmented composite was higher absolute value than AC4A I/M material. And this results indicated initial hardening phenomenon according to increase $SiC_{w}$ volume fraction. Reinforced effect by pressure was the same effect as before aging treatment and the best condition pressure at 75MPa. Similar to reinforced effect according to $SiC_{w}$ volume fraction was 30 % > 10 % > 20 %. In case of pressure is low, whisker is not break the same time press with base metal after wetting. After it is wetting with base metal, a part transformed or wetting part break and whisker maintain original shape or a part transformed on the otherhand, in case of pressure is high, whisker is break in same time it was not against pressure and whisker's shape is near a polygon or spherical shape.

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