• Journal of Mechanical Science and Technology
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• 제19권2호
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• pp.549-557
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• 2005

The requirements of multi-resolution models of feature-based solids, which represent an object at many levels of feature detail, are increasing for engineering purposes, such as analysis, network-based collaborative design, virtual prototyping and manufacturing. To provide multi-resolution models for various applications, it is essential to generate adequate solid models at varying levels of detail (LOD) after feature rearrangement, based on the LOD criteria. However, the non-commutative property of the union and subtraction Boolean operations is a severe obstacle to arbitrary feature rearrangement. To solve this problem we propose history-based Boolean operations that satisfy the commutative law between union and subtraction operations by considering the history of the Boolean operations. Because these operations guarantee the same resulting shape as the original and reasonable shapes at the intermediate LODs for an arbitrary rearrangement of its features, various LOD criteria can be applied for multi-resolution modeling in different applications.

• 대한수학회보
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• 제44권4호
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• pp.701-708
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• 2007

In this paper we characterize the boundedness, compactness and closedness of the range of the weighted composition operators on Lorentz spaces L(p,q), $1.

• 한국CDE학회논문집
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• 제10권6호
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• pp.444-454
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• 2005

Recently, the requirements of multi-resolution models of a solid model, which represent an object at multiple levels of feature detail, are increasing for engineering tasks such as analysis, network-based collaborative design, and virtual prototyping and manufacturing. The research on this area has focused on several topics: topological frameworks for representing multi-resolution solid models, criteria for the level of detail (LOD), and generation of valid models after rearrangement of features. As a solution to the feature rearrangement problem, the new concept of the effective zone of a feature is introduced in the former part of the paper. In this paper, we propose a feature-based non-manifold modeling system to provide multi-resolution models of a feature-based solid or non-manifold model on the basis of the effective feature zones. To facilitate the implementation, we introduce the class of the multi-resolution feature whose attributes contain all necessary information to build a multi-resolution solid model and extract LOD models from it. In addition, two methods are introduced to accelerate the extraction of LOD models from the multi-resolution modeling database: the one is using an NMT model, known as a merged set, to represent multi-resolution models, and the other is storing differences between adjacent LOD models to accelerate the transition to the other LOD. We also suggest the volume of the feature, regardless of feature type, as a criterion for the LOD. This criterion can be used in a wide range of applications, since there is no distinction between additive and subtractive features unlike the previous method.

• 자원환경지질
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• 제49권2호
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• pp.77-88
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• 2016

백석면[Chrysotile, $Mg_3Si_2O_5(OH)_4$]은 사문석군 광물에 속하는 1:1 층상규산염광물로 섬유상의 형태와 구조적 특성으로 인해 다양한 이용과 연구가 진행되었으나, 근래에는 1급 발암물질로 선정되면서 백석면의 분해에 따른 본질적인 무해화를 위한 연구의 관심도가 높아졌다. 따라서 이 연구는 열처리에 따른 백석면의 광물학적 특성 변화를 관찰하여 열분해에 따른 무해화 과정을 알아보고자 하였다. 실험은 캐나다 LAB Chrysotile 광상에서 산출되는 백석면을 이용하여 $600-1,300^{\circ}C$ 범위에서 2시간 동안 열처리를 하였으며, TG-DTA, XRD, FT-IR, SEM-EDS, TEM-EDS 분석을 통해 백석면의 결정구조, 형태 및 화학성분의 변화를 확인하여 광물학적 특성변화를 관찰하였다. 열분해 실험 결과, 섬유상의 hollow tube 구조를 가지는 백석면은 약 $600-650^{\circ}C$에서 흡열반응이 일어남에 따라 팔면체판(MgOH)에서 수산기(OH)가 제거되면서 백석면은 비정질 광물의 형태로 변화하였다(탈수화 1단계). 약 $820^{\circ}C$에서는 발열반응이 관찰되었으며 이는 Mg, Si, O의 재배열 결과 주상의 고토감람석(forsterite, $Mg_2SiO_4$)으로 상전이에 영향을 준 것으로 사료된다(탈수화 2단계). 또한 $800^{\circ}C$ 이상으로 열처리한 일부 시료에서 고토감람석 내 결정구조의 변화가 시작되었고, $1,000^{\circ}C$ 이상에서는 온도 상승에 따라 점진적인 재결정 작용 결과 3차원적으로 성장하여 구형광물로 형태 변화가 나타나며 완화휘석(enstatite, $MgSiO_3$)을 형성하였다. 따라서 이 연구는 다양한 분석법의 적용과 2시간 동안의 열처리를 통하여 백석면의 탈수화 반응에 따른 결정구조의 붕괴와 섬유상 형태의 변형을 확인하였으며, 백석면은 무해 광물인 고토감람석과 완화휘석으로 상전이 됨을 통해 백석면의 무해화 과정을 제시 할 수 있었다.