• 호남수학학술지
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• 제27권3호
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• pp.405-419
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• 2005

We present some properties characterizing the Mandelbrot set of quadratic rational maps. Any quadratic rational map is conjugate to either $z^2+c$ or ${\lambda}(z+1/z)+b$. For ${\mid}{\lambda}{\mid}=1$, we find the figure of the Mandelbrot set $M_{\lambda}$, the set of parameters b for which the Julia set of ${\lambda}(z+1/z)+b$ is connected. It is seen to be the whole complex plane if ${\lambda}{\neq}1$, but it is intricate fractal if ${\lambda}=1$. This supplements the work already investigated for the case ${\mid}{\lambda}{\mid}>1$.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제4권2호
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• pp.151-159
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• 1997

Observing that for any dense weakly Lindelof subspace of a space Y, X is $Z^{#}$ -embedded in Y, we show that for any weakly Lindelof space X, the minimal Cloz-cover ($E_{cc}$(X), $z_{X}$) of X is given by $E_{cc}$(X) = {(\alpha, \chi$) : $\alpha$ is a G(X)-ultrafilter on X with $\chi\in\cap\alpha$}, $z_{X}$=(($\alpha, \chi$))=$\chi$, $z_{X}$ is $Z^{#}$ -irreducible and $E_{cc}$(X) is a dense subspace of $E_{cc}$($\beta$X).

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2005년도 춘계학술대회 논문집
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• pp.956-959
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• 2005

The overall goal of this thesis is to develop a new algorithm based on the octree model for geometric and mechanistic milling operation at the same time. Most commercial machining simulators are based on the Z map model, which has several limitations in terms of achieving a high level of precision in five-axis machining simulation. Octree representation being a three-dimensional (3D) decomposition method, an octree-based algorithm is expected to be able to overcome such limitations. With the octree model, storage requirement is reduced. Moreover, recursive subdivision is processed in the boundaries, which reduces useless computations. To achieve a high level of accuracy, fast computation time and less memory consumption, the advanced octree model is suggested. By adopting the supersampling technique of computer graphics, the accuracy can be significantly improved at approximately equal computation time. The proposed algorithm can verify the NC machining process and estimate the material removal volume at the same time.

• 호남수학학술지
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• 제39권4호
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• pp.575-590
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• 2017

A new class of functions called $R_{\theta}$-supercontinuous functions is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity, which already exist in the literature, is elaborated. The class of $R_{\theta}$-supercontinuous functions properly contains the class of $R_z$-supercontinuous functions [39] which in turn properly contains the class of $R_{cl}$-supercontinuous functions [43] and so includes all cl-supercontinuous (clopen continuous) functions ([38], [34]) and is properly contained in the class of $R_{\delta}$-supercontinuous functions [24].

• 대한수학회지
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• 제49권2호
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• pp.251-263
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• 2012

A CW complex B is said to be I-trivial if there does not exist a $\mathbb{Z}_2$-map from $S^{i-1}$ to S(${\alpha}$) for any vector bundle ${\alpha}$ over B a any integer i with i > dim ${\alpha}$. In this paper, we consider the question of determining whether $\Sigma^k\mathbb{R}P^n$ is I-trivial or not, and to this question we give complete answers when k $\neq$ 1, 3, 8 and partial answers when k = 1, 3, 8. A CW complex B is I-trivial if it is "W-trivial", that is, if for every vector bundle over B, all the Stiefel-Whitney classes vanish. We find, as a result, that $\Sigma^k\mathbb{R}P^n$ is a counterexample to the converse of th statement when k = 2, 4 or 8 and n $\geq$ 2k.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제18권4호
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• pp.361-368
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• 2011

In this paper, we construct a cover ($\mathcal{L}(X)$, $c_X$) of a space X such that for any cloz-cover (Y, f) of X, there is a covering map g : $Y{\longrightarrow}\mathcal{L}(X)$ with $c_X{\circ}g=f$. Using this, we show that every Tychonoff space X has a minimal cloz-cover ($E_{cc}(X)$, $z_X$) and that for a strongly zero-dimensional space X, ${\beta}E_{cc}(X)=E_{cc}({\beta}X)$ if and only if $E_{cc}(X)$ is $z^{\sharp}$-embedded in $E_{cc}({\beta}X)$.

• 한국IT서비스학회지
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• 제7권4호
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• pp.139-149
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• 2008

We propose expert system for restoration the original character form of ancient relics based on image processing and computer graphics. Letters engraved in relief like relics and intaglio like curved tombstones and letters engraved in plane or curved part of cultural asset may have been broken by a lot of rubbed copy, a long time and tide. In this paper, we suggest a new method for extracting and recovering the broken letters of cultural asset into an original form by using Z-map, morphological filter, and high frequency filter. Based on the suggested method. we develop the character recovering system.

• 한국정밀공학회지
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• 제12권2호
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• pp.112-122
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• 1995

While many surfaces such as automobile outer panels, ship hulls and airfoils are characterized by their smooth, free-form shapes, a far larger class of functional surfaces are characterized by highly irregular, multi-featured shapes consisting of pockets, channels, ribs, etc. In constaract to the design of aesthetic, free-form surfaces, functional surface design can perhaps best be viewed as a process of assembling a collection of known component surfaces to form a single compound surface. In this paper, we presents a feature-based functional surface modeling method. A single feature involves a secondary surface, which we must join to a primary surface with a smooth transition between two boundary courves. Through recursive blending of a secondary surface with the primary surface, the mullti-featured surface is represented. After constructing a compound surface, we generate the Z-map for NC machining of the surface. Offsetting the Z-map using the inverse offsetting technique, we get CL tool paths with out gouging.

• 수산해양기술연구
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• 제26권4호
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• pp.365-371
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• 1990

로오란C의 9970 chain과 5970 chain을 중심으로, 양 시스템을 이용하여 위치를 측정하였을 때의 측정위치의 정도를 평가할 수 있는 GDOP를 시뮬레이션으로 계산하여, 현 송신국의 이설에 따른 변화, 송신국의 시뮬레이션위치에 따른 변화 및 유효범위에 관하여 검사 분석한 결과를 요약하면 다음과 같다. 1. 9970 chain은 Z 종국이 과거 Yap도에서 현재의 Guam도로 이설된 후의 등GDOP선도에서, 주국의 이남부분을 보면 Yap도였을 때의 GDOP 2.0과 Guam도였을 때의 GDOP 3.0이 거의 일치하였으며, 전체적으로 GDOP의 값이 높아져 위치측정의 정도는 낮아져 있다. 2. 9970 chain의 Z 종국이 영토문제로 인접국인 일본으로 이관되지 않고 폐쇄되는 경우는 남측인 남지나해 및 Guam도 부근해역은 GDOP의 값이 크게 높아져, 5.0의 등GDOP선이 Fig.3에서는 2.0, Fig.4에서는 3.0의 등 GDOP선과 대개 일치하였다. 3. 9970 chain의 X 종국과 5970 chain의 X 종국은 송신국이 이관될 경우 전파의 전파경로 및 배치상태상 재배치하여 위치의 정도를 높이고 이용범위를 넓힐 필요성이 있다.

• 한국측량학회지
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• 제33권2호
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• pp.83-94
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• 2015

최근 남북교류 협력사업과 통일에 대비한 각종 계획 및 정책 수립에 비접근 지역에 대한 공간자료의 필요성이 대두되고 있다. 이에 본 연구에서는 PLEIADES 영상과 TerraSAR 기준점을 활용하여 비접근 지역의 1/5,000 수치지형도 제작을 위한 기하보정의 허용오차 만족 가능성을 평가하였다. GPS 측량성과의 기준점 수량 및 배치를 변경해 가면서 기하보정을 수행하였고, 기하학적 배치와 안전성을 고려하여 5점을 활용하는 방안을 선정하였다. 선정된 위치에 TerraSAR 기준점을 확보하여 정확도를 평가한 결과, RMSE는 X=±0.64m, Y=±0.46m, Z=±0.28m였고, TerraSAR 기준점으로 PLEIADES 영상을 기하보정한 결과, RMSE는 X=±0.34m, Y=±0.27m, Z=±0.11m, 검사점에 대한 RMSE는 X=±0.50m, Y=±0.30m, Z=±0.66m임을 확인하였다. 본 연구 결과를 통해 비접근지역의 PLEIADES 영상과 최적의 TerraSAR 기준점을 확보하여 공간자료를 구축한다면 국내 항공삼각측량의 조정계산 및 오차한계의 1/5,000 수치지형도 제작 규정에 부합하는 고정밀 공간정보의 확보가 가능하다고 사료된다.