• Communications for Statistical Applications and Methods
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• 제21권1호
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• pp.93-103
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• 2014

This paper deals with the problem of predicting censored data in a half triangle distribution with an unknown parameter based on progressively Type-II censored samples. We derive maximum likelihood predictors and some approximate maximum likelihood predictors of censored failure times in a progressively Type-II censoring scheme. In addition, we construct the shortest-length predictive intervals for censored failure times. Finally, Monte Carlo simulations are used to assess the validity of the proposed methods.

• 한국멀티미디어학회논문지
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• 제20권12호
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• pp.1951-1959
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• 2017

Due to the fact that 3D printing is applied to many areas of life, 3D printing models are often used illegally without any permission from the original providers. This paper presents a novel watermarking algorithm for the copyright protection and ownership identification for 3D printing based on the radius curvature of 3D triangle. 3D triangles are extracted and classified into groups based on radius curvature by the clustering algorithm, and then the mean radius curvature of each group will be computed for watermark embedding. The watermark data is embedded to the groups of 3D triangle by changing the mean radius curvature of each group. In each group, we select a 3D triangle which has the nearest radius curvature with the changed mean radius curvature. Finally, we change the vertices of the selected facet according to the changed radius curvature has been embedded watermark. In experiments, the distance error between the original 3D printing model and the watermarked 3D printing model is approximate zero, and the Bit Error Rate is also very low. From experimental results, we verify that the proposed algorithm is invisible and robustness with geometric attacks rotation, scaling and translation.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1996년도 춘계학술대회 논문집
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• pp.587-591
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• 1996

Usually triangular patches are used to transfer geometric shape in Rpaid Prototyping CAM system. STL, a list of triangles, is de facto in RP industry. Because STL has no topology data, it can cause errornous results. So, STL should be verified before using. After adding support structures to anchor the part to the platform and to prevent sagging or distortion, slicing and layer by layer manufacturing process are done. But triangular patch is surface model and cannot provide dufficient information on geometry in the above processes. So, geometric modeling is necessary in verifying STL, adding support structures, and slicing. It is natural that triangle based modeling is the best when traingular patches are used as input. Considering support structures, solid and faces coexist in RP process. Therefore non-manifold modeler is required. In this study, triangle based non-manifold geometric modeling is proposed for RP system consitent with STL input.

• 한국산학기술학회논문지
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• 제18권4호
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• pp.592-598
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• 2017

유도무기(정확히 유도탄)는 고가의 장비로서 발당 0억을 호가하며, 납품 후 장기간 저장되는 특성을 반영하여 설계되므로 내부 구성품은 물론 유도탄 자체도 매우 높은 신뢰도를 가지게 된다. 이러한 유도탄의 신뢰도는 샘플링 검사결과를 바탕으로 전체 모집단의 신뢰도를 추정하여야 하나, 개발 간에는 개발기간이나 일정, 비용 등의 현실적인 문제로 실제 검사보다 수학적 분석이나 가속수명시험 등을 이용하여 저장신뢰도를 예측한다. 그러나 개발 시 제시되는 저장신뢰도는 예측값으로 실제 저장신뢰도와는 차이가 있을 것임에도 불구하고, 현재 우리 군(軍)은 유도탄 개발시 예측된 저장신뢰도를 기준으로 저장관리(주기검사)를 실시하고 있다. 이에 본 연구는 우리나라에서 10년 이상 저장되어 데이터가 축척된 ${\triangle}{\triangle}$유도탄의 야전점검 데이터를 수집하여 실제 저장신뢰도를 분석하고 현재 실시되고 있는 검사주기의 타당성 검토와 실질적인 저장신뢰도 확인방법을 제시하고자 작성되었다. 최근 실시된 특별검사결과를 토대로 저장신뢰도를 분석한 바 검사주기는 18년 이상으로 연장 가능함이 확인 되었고, 이에 따라 검사주기의 재 설정 및 실질적인 저장신뢰도 확인 방법을 제안한다.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2004년도 추계학술대회 논문집
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• pp.886-889
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• 2004

A simple macro triangle with drilling d.o.f.'s is proposed for plane stress problems based on IET(Individual element test) and finite element template. Three-node triangular element has geometrical advantages in preprocessing but suffers from bad performance comparing to other shapes of elements -especially quadrilateral. Main purpose of this study is to construct a high-performance linear triangular element with limited supplementary d.o.f.'s. A triangle is divided by three sub-triangles with drilling d.o.f.'s. The sub-triangle stiffness come from IET passing force-lumping matrix, so this assures the consistency of the element. The macro element strategy takes care of the element‘s stability and accuracy like higher-order stiffness in the F.E. template. The resulting element fits on the uses of conventional three-node. Benchmark examples show proposed element in closed form stiffness from CAS (Computer algebra system) gives the improved results without more computational efforts than others.

• Journal of Welding and Joining
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• 제16권5호
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• pp.86-92
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• 1998

High speed wire seam weldability of tin coated thin gage sheet steels was investigated. Thickness and coating weight ranges of the test materials were 0.21~0.35mm and 1.1/1.1~2.8/11.2g/$m^2$, respectively. Test results indicated that the surface roughness value, Rz decreased as increasing the coating weight. The Rz was thought to be one of the important factors to influence the optimum welding condition range, $\triangle$Q. The $\triangle$Q showed close relationship with welding conditions such as welding pressure and travel speed. Higher welding pressure widened the $\triangle$Q while higher travel speed reduced the $\triangle$Q value. Results also demonstrated that tin coating weight should be optimized based on the weldability or the serviceability after welding. At th HAZ of sheet materials with thinner coating layer, tin depleted zone was produced since molten film of the coating material on the base metal agglomerated by the surface tension, which could result in reducing the corrosion resistance of the HAZ in the service environment.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2001년도 춘계학술대회 논문집
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• pp.41-44
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• 2001

In reverse engineering, the whole surfaces of the three-dimensional(3D) product are measured using 3D positional scanners. The raw triangle meshes constructed from a scanned point set are not well suited for direct use in the downstream activities. This is because the amount of triangle meshes may be very large(from millions to hundreds of millions) and usually distorted by scanning error. Furthermore, the triangle meshes may contain several holes that must be filled. Thus, several solutions have to be addressed and implemented before a complete CAD models can be acquired. This paper discusses on the algorithms of decimation, smoothing, and hole-filling that are crucial to refine the triangle meshes. Several examples are also given and discussed to validate the system.

• 한국수학사학회지
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• 제32권2호
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• pp.61-77
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• 2019

The study was conducted based on the 'method of mathematical exploration through history'. In recent school education, 'Probability and Statistics' education has been emphasized, and as a result, the study has conducted a study on permutations. Permutation is used in a variety of fields, and in this study, we looked at the Derangement. The results of this study are as follows. First, analysis was made at current school mathematics level and academic mathematics level for Derangement. Second, the historical development process of derangement was examined. Third, based on this, the research direction of this study was decided to be 'Derangement number's triangle(Rencontres number's triangle)', and the inquiry for education expansion was carried out. Fourth, we have presented data on concrete educational expansion by discovering various mathematical facts of the Derangement number's triangle. We hope that the results of this study will provide meaningful implications for the application of mathematics and the presentation of new inquiry directions.

• 대한수학교육학회지:학교수학
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• 제18권2호
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• pp.425-440
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• 2016

본 연구는 초등학교 2학년 1학기 '여러 가지 도형' 단원을 학습한 학생들이 갖고 있는 삼각형에 관한 개념 이미지를 확인하고자 한 것이다. 그 결과 학생들은 삼각형과 세모에 대하여 서로 다른 개념 이미지를 갖고 있음을 알 수 있었다. 삼각형의 정의를 기계적으로 암송할 수 있지만, 변과 꼭짓점에 대한 심상이 적절하게 형성되어 있지 않음으로 인해 삼각형을 판별하지 못하는 경우도 있었다. 무엇보다 삼각형이라는 용어는 각의 관점의 용어이지만, 2학년 교과서에서는 각의 개념을 도입하지 않은 채 변의 관점에서 도입함으로 인해 학생들은 각을 변이나 면으로 혼동하는 경우도 있었다. 이러한 결과를 바탕으로 초등학교 수학과 교육과정과 교과서의 개선 방안을 제안하였다.

• 한국생산제조학회지
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• 제6권1호
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• pp.51-58
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• 1997

The verification of the STL file is essential to build the confident parts using a RP machine, because the STL file obtained from the CAD software has many errors-the orientation of triangle does not coincide with adjacent triangles or some triangles are omitted, overlpped and so forth. Especially, the STL file translated from the surface model has more errors than those translated from the solid model. In this study, all possible errors were classified with the most general from and the causes of errors were analyzed to verify and correct errors. Using the triangle based non-manifold geometric modeling, these errors were corrected. Especially, this study took the notice of the problem about the intersected triangles and non-manifold properties overlooked in the previous studies. But this study has a penalty on computing time of $O(n^2)$.