• Title/Summary/Keyword: Triangle based

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A Study on the Geometrical Figure in Contemporary Fashion - In the Case of Round(${\bigcirc}$), Square(${\square}$) and Triangle(${\triangle}$) - (현대 패션에 나타난 기하도형의 표현 연구 - 원(${\bigcirc}$).방(${\square}$).각(${\triangle}$)을 중심으로 -)

  • Kwen, Jin;Kang, Sook-Nyeo
    • Journal of the Korean Society of Costume
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    • v.61 no.8
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    • pp.85-99
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    • 2011
  • Geometrical figures have been used as artwork motifs from the ancient times to the present day. The area of fashion, being a part of modern art, is also largely influenced by geometry and geometrical shapes are being used as a motif for fashion design now more than ever before. However, studies about geometry in the fashion field are not yet done enough and further research is necessary. This research will therefore investigate the usages of round, square and triangular design in contemporary fashion. The main scope of this research is to look at the type of expression and analyze the intrinsic meanings of these shapes in modern fashion. This research will look profoundly into the general characteristics of these geometrical figures and analyze the effects and uniqueness found in the world collection introduced since 2007. As a result from this study, it was found that round and square objects were perceived in such a straightforward and positive way and these designs, when worn, really completed the final look. On the other hand, the triangular design was used mainly for spatial expansion and was interpreted in a more metaphorical, indirect and abstract way. The intrinsic meaning of round, square and triangle figures in contemporary fashion consists of the informal features that really steps out of the formative clothing structure. The topological changes that is formed from the interactive functions and the wholism that creates a new system through integration of the human body and clothing contains the intrinsic meaning of these geometrical figures. Based on the research results, the method of expression and the characteristics of modern day fashion's geometrical figures was able to be easily understood. This work provides the useful information on the development of fashion design and the extended interpretation of clothing structure.

A Case Study on Teaching the Sum of the Interior Angles of a Triangle Using Measurement Errors (측정 오차를 활용한 삼각형의 내각의 합 지도 방안 사례 연구)

  • Oh, Youngyoul;Park, Jukyung
    • Communications of Mathematical Education
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    • v.35 no.4
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    • pp.425-444
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    • 2021
  • In this study, under the assumption that the goal pursued in measurement area can be reached through the composition of the measurement activity considering the mathematical process, the method of summing the interior angles of a triangle using the measurement error was applied to the 4th grade class of the elementary school. Results of the study, first, students were able to recognize the possibility of measurement error by learning the sum of the interior angles of a triangle using the measurement error. Second, the discussion process based on the measurement error became the basis for students to attempt mathematical justification. Third, the manipulation activity using the semicircle was recognized as a natural and intuitive way of mathematical justification by the students and led to generalization. Fourth, the method of guiding the sum of the interior angles of a triangle using the measurement error contributed to the development of students' mathematical communication skills and positive attitudes toward mathematics.

An Efficient Visualization Method of Two-Dimensional Vector Fields (2차원 벡터 필드의 효율적인 가시화 방법)

  • Jung, Il-Hong
    • Journal of Korea Multimedia Society
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    • v.12 no.11
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    • pp.1623-1628
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    • 2009
  • This paper presents the development of certain highly efficient and accurate method for computing tangent curves for two-dimensional vector fields. Unlike convention methods, such as Runge-Kutta, for computing tangent curves which produce only approximations, the method developed herein produces exact values on the tangent curves based on piecewise linear variation over a triangle in 2D. This new method assumes that the vector field is piecewise linearly defined over a triangle in 2D. It is also required to decompose the rectangular cell into two triangular cells. The critical points can be easily found by solving a simple linear system for each triangle. This method is to find exit points by producing a sequence of points on the curve with the computation of each subsequent point based on the previous. Because points on the tangent curves are calculated by the explicit solution for each triangle, this new method provides correct topologies in visualizing 2D vector fields.

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Bending Spring Model for Stable Strain-Based Dynamics in Triangular Meshes (삼각형 메쉬에서 안정적인 변형률 기반 동역학을 위한 굽힘 스프링 모델)

  • Kim, Jong-Hyun
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2022.01a
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    • pp.341-344
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    • 2022
  • 본 논문에서는 삼각형 메쉬 기반에서 변형률 기반 동역학(Strain-based dynamics, SBD)을 안정적으로 표현할 수 있는 굽힘 스프링 구조와 감쇠 기법에 대해 설명한다. SBD는 삼각형 메쉬의 에지 길이(Edge length) 기반의 에너지 대신 변형률(Strain)을 활용하여 에너지를 모델링한다. 하지만, 비정상적인 삼각형(Degenerate triangle)인 경우 변형률이 불안정하게 계산되어 잘못된 방향으로 늘어나는 문제가 발생한다. 본 논문에서는 이러한 문제를 효율적으로 처리할 수 있는 굽힘 스프링(Bending spring) 구조에 대해 소개한다. 결과적으로 본 논문에서 제안하는 기법은 안정적으로 SBD를 처리할 수 있기 때문에 다양한 재질의 옷감 시뮬레이션을 안정적으로 표현할 수 있도록 한다.

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Reconstruction of the Defect in Perineum using Local perforator based flap (천공지 기저 국소 피판을 이용한 회음부 결손의 재건)

  • Lee, Joo Hong;Yun, In Sik;Lee, Dong Won;Lee, Won Jai;Rah, Dong Kyun
    • Archives of Plastic Surgery
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    • v.36 no.5
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    • pp.565-570
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    • 2009
  • Purpose: Numerous techniques have been introduced to reconstruct the perineal area in order to preserve function of both the recipient and the donor site while satisfying aesthetic results. There are several advantages of using the pudendal aretery perforator based flap in that it provides thin coverage of defect area and a relatively excellent circulation through perforators. The perineal region can be divided into two areas : the urogenital triangle and the anal triangle. Since each area differs in structure and function so does its reconstructive plan. The authors of this article report clinical results obtained from pudendal artery perforator based reconstructed cases according to each differrent triangles. Methods: A total of 15 patients who underwent perineal reconstruction were enrolled in our study between the year 2002 and 2006. There were 4 cases of vaginal cancer, 4 cases of extramammary Paget's disease, 1 case of rectovaginal fistula in females and 2 cases of Paget's disease and 4 cases of Fournier's gangrene in male cases. The follow up period was on average 6 month. In female, superfical pudendal artery perforator based local flap were used to reconstruct the urogenital triangle defects, while internal pudendal artery perfoator based local flaps were used to reconstruct the anal traingle defects. In males the gracilis myocutaneous flap and internal pudendal artery perforator based local flaps were used in reconstruction of the scrotum and perineal defect. Result: In females, there was 1 case of partial flap necorsis that employed the superficial pudendal artery perforator but secondary repair through the internal pudendal artery perforator based local flap was done. In addition, there were 4 wound dehiscence cases in females and 2 cases in males. Conclusion: We believe that a better aesthetic and functional outcome can be achieved in perineal reconstruction if discrete surgical planning is carried out systematically categorizing the choice of flap employed acccording to distinct anatomical regions : the urogenital and the anal triangle.

A Pilot Study on Hip Bone Mineral Densities Estimation from Forearm CBCT images

  • Ko, Hoon;Lee, Chang-Hoon;Jeong, Kwanmoon;Lee, Myeung Su;Nam, Yunyoung;Yoon, Kwon-Ha;Lee, Jinseok
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.12
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    • pp.6054-6068
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    • 2017
  • In this paper, we defined the relative cross-sectional area of forearm cortical bone and investigated its correlation with hip bone mineral density values of total femur, femoral neck, femoral trochanter, femoral inter-trochanter and femoral ward's triangle, respectively. Based on the correlations, we established a linear transformation between the relative cross-sectional area of forearm cortical bone and each hip bone BMD. We obtained forearm images using CBCT and hip bone BMDs using dual-energy X-ray absorptiometry (DXA) for 28 subjects. We also investigated the optimal forearm region to provide the strongest correlation coefficient. We used the optimized forearm region to establish each linear transformation to estimate BMD values for total femur, femoral neck, femoral trochanter, femoral inter-trochanter and femoral ward's triangle from the relative cross-sectional area of forearm cortical bone, respectively. We observed the strong correlations with total femur (r=0.889), femoral neck (r=0.924), femoral trochanter (r=0.821), femoral inter-trochanter (r=0.867) and femoral ward's triangle (r=0.895), respectively. The strongest correlation was observed in the forearm mid-shaft regions. Our results suggest that the hip bone BMD values can be simply estimated from forearm CBCT images in a convenient sitting position without X-ray exposure on a hip including genital organs, and may be useful for screening osteoporosis.

Leakage Inductance Estimation of $Y-\triangle$ Transformer Using the Least Square Method (최소자승법을 이용한 $Y-\triangle$ 누설 인덕턴스 추정 방법)

  • Hwang, Tae-Keun;Lee, Byung-Eun;Jang, Sung-Il;Kim, Yong-Gyun;Kang, Yong-Cheol
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.4
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    • pp.645-650
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    • 2007
  • This paper proposes a parameter estimation technique of a power transformer. Based on the combined equation, it estimates separately the primary and secondary leakage inductances using the least square method from the instantaneous voltages and currents in the steady state. The performance of the proposed technique was investigated by varying the cut-off frequency of the filter and the number of samples per cycle. The estimated values are obtained based on the average value for 41 cycle.

Development of Halfedge-based Triangular Mesh Data Structure (반모서리 기반의 삼각망 자료 구조 개발)

  • Chung, Yun-Chan;Chang, Min-Ho
    • Korean Journal of Computational Design and Engineering
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    • v.14 no.1
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    • pp.33-41
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    • 2009
  • Triangular mesh models are widely used in reverse engineering, computer graphics, rapid prototyping and NC(numerical controller) tool-path generation. Triangular mesh models are generated from point clouds, surface models and solid models. A halfedge-based triangular mesh data structure is proposed and the development considerations are presented. In the presented data structure, halfedge is the key data structure. Halfedge stores its triangle index and the order in the triangle. Triangles do not store the halfedge lists explicitly. Halfedge is referred by value and defined when it is required. Proposed data structure supports four design requirements: efficient rendering, compact memory, supporting efficient algorithms and easy programming.

Localization for Cooperative Behavior of Swarm Robots Based on Wireless Sensor Network (무선 센서 네트워크 기반 군집 로봇의 협조 행동을 위한 위치 측정)

  • Tak, Myung-Hwan;Joo, Young-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.8
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    • pp.725-730
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    • 2012
  • In this paper, we propose the localization algorithm for the cooperative behavior of the swarm robots based on WSN (Wireless Sensor Network). The proposed method is as follows: First, we measure positions of the L-bot (Leader robot) and F-bots (Follower robots) by using the APIT (Approximate Point In Triangle) and the RSSI (Received Signal Strength Indication). Second, we measure relative positions of the F-bots against the pre-measured position of the L-bot by using trilateration. Then, to revise a position error caused by noise of the wireless signal, we use the particle filter. Finally, we show the effectiveness and feasibility of the proposed method though some simulations.

Nodal method for handling irregularly deformed geometries in hexagonal lattice cores

  • Seongchan Kim;Han Gyu Joo;Hyun Chul Lee
    • Nuclear Engineering and Technology
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    • v.56 no.3
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    • pp.772-784
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    • 2024
  • The hexagonal nodal code RENUS has been enhanced to handle irregularly deformed hexagonal assemblies. The underlying RENUS methods involving triangle-based polynomial expansion nodal (T-PEN) and corner point balance (CPB) were extended in a way to use line and surface integrals of polynomials in a deformed hexagonal geometry. The nodal calculation is accelerated by the coarse mesh finite difference (CMFD) formulation extended to unstructured geometry. The accuracy of the unstructured nodal solution was evaluated for a group of 2D SFR core problems in which the assembly corner points are arbitrarily displaced. The RENUS results for the change in nuclear characteristics resulting from fuel deformation were compared with those of the reference McCARD Monte Carlo code. It turned out that the two solutions agree within 18 pcm in reactivity change and 0.46% in assembly power distribution change. These results demonstrate that the proposed unstructured nodal method can accurately model heterogeneous thermal expansion in hexagonal fueled cores.