• The Transactions of the Korea Information Processing Society
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• v.2 no.6
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• pp.831-838
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• 1995

Geometric transformations require many operations in displaying moving 3D objects on the screen and a fast computation is a important problem in CAD or animation applications. The general method to compute the transformation coordinates of an object represented by an octree must perform the operations on every node. This paper proposes an efficient method that computes the rectangular coordinates of the vertices of the octree nodes into the coordinates of the universe space using the basicvectors in order to compute quickly geometric transformations of 3D images represented by an octree. The coordinates of the vertices of each octant are computed by using the formula presented here, which requies additions and multiplications by powers of 2. This method has a very fast execution time and is compared with the general computation method.

• Proceedings of the Korean Information Science Society Conference
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• 2000.04a
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• pp.677-679
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• 2000

대칭성(symmetry)은 그래프를 가시화하여 기학학적 표현을 구축하는 그래프 드로잉 분야에서 그래프의 구조와 특성을 효율적으로 표현해주는 가장 중요한 평가 기준이다. 하지만 현재까지는 이차원 평면에서의 대칭성 문제에 대해서만 기존 연구가 이루어져왔을 뿐 해상도를 증가시키고 대칭성을 보다 풍부하게 표현할 수 있는 그래프의 삼차원 대칭 드로잉에 관한 연구는 아직 제시된 바 없다. 본 논문에서는 그래프 드로잉에서의 삼차원 대칭성 문제를 연구하였다. 먼저 그래프의 삼차원 대칭 드로잉을 구축하기 위해 필요한 삼차원 대칭성 모델을 제시하고 이를 기반으로 하여 트리에서 삼차원 대칭성을 탐지하는 알고리즘을 제시하였다. 이 알고리즘은 트리의 최대의 대칭성을 보여주는 삼차원 드로잉 알고리즘으로 쉽게 확장이 가능하다.

• Journal of Digital Convergence
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• v.12 no.8
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• pp.475-480
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• 2014

They are used as a symbol representing some meaning of an object. Geometric patterns in the formative arts have been recasted by artists and used to express modern images. Simple shapes of geometric patterns create beauty with their outward appearance and decorated patterns. The simpleness of decorated patterns go with restrained, rational, and modern concepts. The patterns decorated with geometric patterns use geometric figures such as octagon, triangle, quadrangle, etc. and they give satisfaction to modern people. They are also regular and simple, so they can create impactive visual effects and three-dimensional space can be created with these dynamic patterns. Therefore, attractiveness of shape which gives enjoyment is also found in tableware design using geometric patterns. Using geometric patterns in tableware design is not based on a chance factor, so it is possible to objectify and reproduce the patterns. These repetitive designs can influence a lot of designers working on tableware and help improve the tableware designs. It is also considered that those designs are able to create new opportunities to produce a high value product in the ceramics industry.

• The Journal of the Korea Contents Association
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• v.7 no.10
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• pp.175-182
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• 2007

This study was attempted to analyze the tendency of minimalism shown in the contemporary jewelry. For this purpose, we figured out the property of Personal ornaments, and studied the conceptual, formal and formative tendency of minimalism shown in the jewelry. The minimal art gave a new inspiration to the people who preferred a visual simplicity, which had much effect in shifting the concept of the previous design which laid stress on "Ornaments". Therefore, in this thesis, we would analyze the property of such minimalism and the tendency appearing in the jewelry and contribute to the development of a variety of design with its application.

• Journal of the Korean Vacuum Society
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• v.21 no.2
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• pp.69-77
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• 2012

Visualization of the electromagnetic vector fields are presented and examined with Mathematica. Vector fields may be used to represent a great of many physical quantities in various area of physics, including electromagnetism with vector differential operators. Because they deal with abstract, three-dimensional fields that are some times very difficult to visualize, electromagnetism can be conceptually rather difficult. Visual representation of such an abstract vector fields is invaluable to student or researchers working in this field and also helps teaching electromagnetism to physics or engineering students. Mathematica provides a wider range of graphical tools including plot of vector fields and vector analysis, which can be applied to visualization of electromagnetic system. We have visualized the most fundamental concepts of the electromagnetic vector $\vec{E}=-\vec{\nabla}_{\varphi}$, $\vec{D}={\epsilon}\vec{E}$, $\vec{\nabla}{\times}\vec{A}$, $\vec{B}={\mu}\vec{H}$, $\vec{B}={\mu}_0(\vec{H}+\vec{M})$, which are confirmed with vector calculations and valid graphically with some presentations.