• Title/Summary/Keyword: triangle method

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Method of 3D Body Surface Segmentation and 2D Pattern Development Using Triangle Simplification and Triangle Patch Arrangement (Triangle Simplification에 의한 3D 인체형상분할과 삼각조합방법에 의한 2D 패턴구성)

  • Jeong, Yeon-Hee;Hong, Kyung-Hi;Kim, See-Jo
    • Journal of the Korean Society of Clothing and Textiles
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    • v.29 no.9_10 s.146
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    • pp.1359-1368
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    • 2005
  • When we develop the tight-fit 2D pattern from the 3D scan data, segmentation of the 3D scan data into several parts is necessary to make a curved surface into a flat plane. In this study, Garland's method of triangle simplification was adopted to reduce the number of data point without distorting the original shape. The Runge-Kutta method was applied to make triangular patch from the 3D surface in a 2D plane. We also explored the detailed arrangement method of small 2D patches to make a tight-fit pattern for a male body. As results, minimum triangle numbers in the simplification process and efficient arrangement methods of many pieces were suggested for the optimal 2D pattern development. Among four arrangement methods, a block method is faster and easier when dealing with the triangle patches of male's upper body. Anchoring neighboring vertices of blocks to make 2D pattern was observed to be a reasonable arrangement method to get even distribution of stress in a 2D plane.

Simulation of Plate Deformation due to Triangle Heating Using Inherent Strain Method (고유변형도법을 이용한 삼각가열에 의한 판 변형의 시뮬레이션)

  • Jang, Chang-Doo;Ko, Dae-Eun;Ha, Yun-Sok
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.6
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    • pp.703-709
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    • 2008
  • In the shipyard, line heating and triangle heating are two major processes for forming curved plates in various shapes. While there have been many studies on line heating, triangle heating has been rarely studied due to its complicated heating process with irregular multi-heating paths and highly concentrated heat input. As the triangle heating process is one of the most labor-consuming jobs in shipyards, it is essential to study the automation as well as improvement of triangle heating process in order to increase hull forming productivity. In this study, a pioneering attempt to simulate triangle heating was made. A circular disk-spring model was proposed for elasto-plastic analysis procedure of triangle heating and the inherent strain method was also used to analyze the deformation of plates. Simulation results were compared with those of experiments and showed good agreement. It is shown that the present approach including analysis model used in this study is effective to simulate the triangle heating for plate forming process in shipbuilding.

A Study on the Teaching Method of Incenter and Circumcenter of Triangle (삼각형의 내.외심 지도방법 연구)

  • Kang, Yun-Soo;Seo, Eun-Jeong
    • Journal of the Korean School Mathematics Society
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    • v.12 no.3
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    • pp.171-188
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    • 2009
  • This study was designed for the purpose of identifying the influences of improved teaching method which constructed at the base of results of survey for finding present teaching-learning method of incenter and circumcenter of triangle. For this, we surveyed the students' understanding and math teachers' teaching method of incenter and circumcenter of triangle. Then, we designed alternative teaching method which innovated the problems from the resultic approaches of Incenter and circumcenter of triangle. And then, we taught students through new method and analyzed the influences of it to students.

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Didactical Analysis on Triangle-Determining Conditions and Triangle-Congruence Conditions (삼각형의 결정조건과 합동조건에 대한 교수학적 분석)

  • Yim Jaehoon
    • Journal of Educational Research in Mathematics
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    • v.15 no.2
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    • pp.131-145
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    • 2005
  • This study intends to analyze didactically on triangle-determining conditions and triangle-congruence conditions. The result of this study revealed the followings: Firstly, many pre-service mathematics teachers and secondary school students have insufficient understanding or misunderstanding on triangle-determining conditions and triangle-congruence conditions. Secondly, the term segment instead of edge may show well the concern of triangle-determining conditions. Thirdly, when students learn the method of finding six elements of triangle using the law of sines and cosines in high school, they should be given the opportunity to reflect the relation and the difference between triangle-determining situation and the situation of finding six elements of triangle. Fourthly, accepting some conditions like SSA-obtuse as a triangle-determining condition or not is not just a logical problem. It depends on the specific contexts investigating triangle-determining conditions. Fifthly, textbooks and classroom teaching need to guide students to discover triangle-deter-mining conditions in the process of inquiry from SSS, SSA, SAS, SAA, ASS, ASA, AAS, AAA to SSS, SAS, ASA, SAA. Sixthly, it is necessary to have students know the significance of 'correspondence' in congruence conditions. Finally, there are some problems of using the term 'correspondent' in describing triangle-congruence conditions.

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Triangle Method for Fast Face Detection on the Wild

  • Malikovich, Karimov Madjit;Akhmatovich, Tashev Komil;ugli, Islomov Shahboz Zokir;Nizomovich, Mavlonov Obid
    • Journal of Multimedia Information System
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    • v.5 no.1
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    • pp.15-20
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    • 2018
  • There are a lot of problems in the face detection area. One of them is detecting faces by facial features and reducing number of the false negatives and positions. This paper is directed to solve this problem by the proposed triangle method. Also, this paper explans cascades, Haar-like features, AdaBoost, HOG. We propose a scheme using 12-net, 24-net, 48-net to scan images and improve efficiency. Using triangle method for frontal pose, B and B1 methods for other poses in neural networks are proposed.

Point In Triangle Testing Based Trilateration Localization Algorithm In Wireless Sensor Networks

  • Zhang, Aiqing;Ye, Xinrong;Hu, Haifeng
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.6 no.10
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    • pp.2567-2586
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    • 2012
  • Localization of sensor nodes is a key technology in Wireless Sensor Networks(WSNs). Trilateration is an important position determination strategy. To further improve the localization accuracy, a novel Trilateration based on Point In Triangle testing Localization (TPITL)algorithm is proposed in the paper. Unlike the traditional trilateration localization algorithm which randomly selects three neighbor anchors, the proposed TPITL algorithm selects three special neighbor anchors of the unknown node for trilateration. The three anchors construct the smallest anchor triangle which encloses the unknown node. To choose the optimized anchors, we propose Point In Triangle testing based on Distance(PITD) method, which applies the estimated distances for trilateration to reduce the PIT testing errors. Simulation results show that the PIT testing errors of PITD are much lower than Approximation PIT(APIT) method and the proposed TPITL algorithm significantly improves the localization accuracy.

A Study on Solving Triangle Construction Problems Related with Radius of Escribed Circle Using Algebraic Method (대수적 방법을 이용한 방접원에 관련된 삼각형 작도문제의 해결 연구)

  • Gong, Seon-Hye;Han, In-Ki
    • Journal of the Korean School Mathematics Society
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    • v.11 no.3
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    • pp.399-420
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    • 2008
  • In this paper we solve various triangle construction problems related with radius of escribed circle using algebraic method. We describe essentials and meaning of algebraic method solving construction problems. And we search relation between triangle construction problems, draw out 3 base problems, and make hierarchy of solved triangle construction problems. These construction problems will be used for creative mathematical investigation in gifted education.

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Inviscid Rotational Flows Near a Corner and Within a Triangle

  • Suh, Yong-Kweon
    • Journal of Mechanical Science and Technology
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    • v.15 no.6
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    • pp.813-820
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    • 2001
  • Solutions of inviscid rotational flows near the corners of an arbitrary angle and within a triangle of arbitrary shapes are presented. The corner-flow solutions has a rotational component as a particular solution. The addition of irrotatoinal components yields a general solution, which is indeterminate unless the far-field condition is imposed. When the corner angle is less than 90$^{\circ}$the flow asymptotically becomes rotational. For the corner angle larger than 90$^{\circ}$it tends to become irrotational. The general solution for the corner flow is then applied to rotational flows within a triangle (Method I). The error level depends on the geometry, and a parameter space is presented by which we can estimate the error level of solutions. On the other hand, Method II employing three separate coordinate systems is developed. The error level given by Method II is moderate but less dependent on the geometry.

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A Study on the Upright Control of an Inverted Triangle (역삼각형의 직립 제어에 관한 연구)

  • 오영석;유영호
    • Journal of Advanced Marine Engineering and Technology
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    • v.21 no.5
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    • pp.571-578
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    • 1997
  • This paper presents a method for designing a control system to stand upright inverted triangle. A linearized model is obtained form the nonlinear system by Taylor series expansion and a state controller is designed based on the model. After implementing the control system which is combined control law and estimator with reference input, experiments are carried out to stand upright inverted triangle at any angluar position.

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Estimation in a Half-Triangle Distribution Based on Multiply Type-II Censored Samples

  • Kang, Suk-Bok
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.3
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    • pp.793-801
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    • 2007
  • For multiply Type-II censored samples from a half-triangle distribution, the maximum likelihood method does not admit explicit solutions. In this case, we propose some explicit estimators of the location parameter in the half-triangle distribution by the approximate maximum likelihood methods. We compare the proposed estimators in the sense of the mean squared error for various censored samples.

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