• 한국컴퓨터그래픽스학회논문지
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• 제4권1호
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• pp.11-19
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• 1998

오일러 연산과 집합 연산과 같은 비다양체 위상 연산은 모델링의 다양한 환경을 제공한다. 이들 연산들은 주어진 모델의 위상 정보를 적합하게 유지하도록 하기 위하여 기하학적인 문제를 발생시킨다. 꼭지점, 모서리와 면과 같은 요소들이 서로 접촉할 때 이들 연산의 내부에서 수행되는 접합 연산은 비다양체 모델의 위상을 수정하는 기본적인 방법이다. 비다양체 모델을 접합할 때는 위상 관계를 추론하여야 한다. 위상 관계의 추론 방법은 위상학적인 방법과 기하학적인 방법의 2 가지 경우로 분류할 수 있다. 위상학적인 방법은 저장되어 있는 위상 정보만을 이용하여 위상 관계를 추론한다. 반면에, 기하학적인 방법은 접합이 일어나는 부분적인 영역에서 기하학적인 형상을 고려하여 위상의 관계를 찾아내는 방법이다. 본 연구에서는 이들 중에서 기하학적인 방법에 관하여 기술한다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제30권3호
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• pp.237-248
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• 2023

The aim of this paper is to study the concept of s-topological d-algebras which is a d-algebra supplied with a certain type of topology that makes the binary operation defined on it d-topologically continuous. This concept is a generalization of the concept of topological d-algebra. We obtain several properties of s-topological d-algebras.

• 대한수학회논문집
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• 제26권2호
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• pp.291-296
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• 2011

Cs$\'{a}$sz$\'{a}$r [3] introduced the notions of ${\gamma}$-compact and ${\gamma}$-operation on a topological space. In this paper, we introduce the notions of almost ${\Gamma}$-compact, (${\gamma},{\tau}$)-continuous function and (${\gamma},{\tau}$)-open function defined by ${\gamma}$-operation on a topological space and investigate some properties for such notions.

• Journal of international Conference on Electrical Machines and Systems
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• 제1권3호
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• pp.312-319
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• 2012

The operation principle of an axial flux-switching hybrid excitation synchronous machine (AFHESM) is analyzed and its topology structures are proposed in this paper. After some comprehensive analysis of the operation principle to axial flux electrical machine, flux-switching electrical machine and hybrid excitation electrical machine, the operation principle of AFHESM is given. Combined with some typical topological structures of hybrid excitation electrical machine, some possible topological structures are proposed and some comprehensive comparisons are carried out. The analysis results show that the stator-separated AFHESM has some advantages such as less AM turns, less impact on the demagnetization of PM, less magnetic flux-leakage and higher efficiency compared to other topologies.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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• pp.59-62
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• 2000

In this paper we introduce the notion of fuzzy ${\gamma}$-open sets by using an operation ${\gamma}$ on fuzzy topological space (X, $\tau$) and investigate the related fuzzy topological properties of the associated fuzzy topology $\tau$$\_$${\gamma}$/ and $\tau$. And ${\gamma}$-T$\_$i/(i=0,1,2) separation axioms are defined in fuzzy topological spaces and the validity of some results analogous to those in fuzzy T$\_$i/ spaces due to Ganguly and Saha [2] are examined.

• 대한수학회논문집
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• 제29권4호
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• pp.555-568
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• 2014

A set with an operation defined on a family of subsets is studied. The operation is used to generalize the topological space itself. The operation defines the operation-open subsets in the set. Relations are studied among two types of the interiors and the closures of subsets. Some properties of maximal operation-open sets are obtained. Semi-open sets and pre-open sets are defined in the sets with operations and some relations among them are proved.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2005년도 ICCAS
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• pp.901-905
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• 2005

Monte Carlo localization is known to be one of the most reliable methods for pose estimation of a mobile robot. Much research has been done to improve performance of MCL so far. Although MCL is capable of estimating the robot pose even for a completely unknown initial pose in the known environment, it takes considerable time to give an initial estimate because the number of random samples is usually very large especially for a large-scale environment. For practical implementation of the MCL, therefore, a reduction in sample size is desirable. This paper presents a novel approach to reducing the number of samples used in the particle filter for efficient implementation of MCL. To this end, the topological information generated off- line using a thinning method, which is commonly used in image processing, is employed. The topological map is first created from the given grid map for the environment. The robot scans the local environment using a laser rangefinder and generates a local topological map. The robot then navigates only on this local topological edge, which is likely to be the same as the one obtained off- line from the given grid map. Random samples are drawn near the off-line topological edge instead of being taken with uniform distribution, since the robot traverses along the edge. In this way, the sample size required for MCL can be drastically reduced, thus leading to reduced initial operation time. Experimental results using the proposed method show that the number of samples can be reduced considerably, and the time required for robot pose estimation can also be substantially decreased.

• 한국CDE학회논문집
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• 제5권4호
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• pp.293-300
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• 2000

The non-manifold geometric modeling technique is to improve design process and to Integrate design, analysis, and manufacturing by handling mixture of wireframe model, surface model, and solid model in a single data structure. For the non-manifold geometric modeling, Euler operators and other high level modeling methods are necessary. Boolean operation is one of the representative modeling method for the non-manifold geometric modeling. This thesis studies Boolean operations of non-manifold model with the data structure of selective storage. The data structure of selective storage is improved non-manifold data structure in that existing non-manifold data structures using ordered topological representation method always store non-manifold information even if edges and vortices are in the manifold situation. To implement Boolean operations for non-manifold model, intersection algorithm for topological cells of three different dimensions, merging and selection algorithm for three dimensional model, and Open Inventor(tm), a 3D toolkit from SGI, are used.

• 한국CDE학회논문집
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• 제5권3호
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• pp.242-254
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• 2000

This paper describes an efficient solid modeling method for thin-walled plastic or sheet metal parts, based on the non-manifold offsetting operations. Since the previous methods for modeling and converting a sheet into a solid have adopted the boundary representations for solid object as their topological framework, it is difficult to represent the exact adjacency relationship between topological entities of a sheet model and a mixture of wireframe and sheet models that can appear in the meantime of modeling procedure, and it is hard to implement topological operations for sheet modeling and transformation of a sheet into a solid. To solve these problems, we introduce a non-manifold B-rep and propose a sheet conversion method based on a non-manifold offset algorithm. Because the non-manifold offset aigorithm based on mathematical definitions results in an offset solid with tubular and spherical thickness-faces we modify it to generate the ruled or planar thickness-faces that are mostly shown in actual plastic or sheet metal parts. In addition, in order to accelerate the Boolean operations used the offset algorithm, we also develope an efficient face-face intersection algorithm using topological adjacency information.

• 한국정보과학회:학술대회논문집
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• 한국정보과학회 2001년도 가을 학술발표논문집 Vol.28 No.2 (1)
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• pp.166-168
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• 2001

3D GIS(Geographical Information System)은 2D GIS를 고도값을 고려한 3D 공간으로 확장한 GIS System이다. 3D GIS는 기존의 2D와는 다른 Data Format을 기반으로 훨씬 다양한 기능을 지원하는 Operation들을 제공한다. 본문에서는 각 노드들의 상관 관계를 묘사하는 데 장점을 가진 Topological Data Model에 대해 알아보고, 이 모델에서 지원이 가능한 여러 가지의 3D Operation들을 알아보고 도시내의 다양한 상황하에서 기능을 지원 할 수 있도록 한다.