• Communications of the Korean Mathematical Society
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• v.15 no.2
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• pp.325-330
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• 2000

3차원 Euclid 공간의 볼록폐곡면의 평균곡률과 Gauss 곡률의 비가 상수함수와 충분히 가까우면 그 곡면은 중심이 같고 반지름이 거의 같은 두 개의 둥근공 사이에 놓이게 됨을 보였다.

• Journal of the Korea Society of Computer and Information
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• v.19 no.8
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• pp.45-54
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• 2014

In this paper, we proposed an effective quality improvement scheme of magnified image using the surface characteristics in image. If the surface in image is estimated as simple convex surface or simple concave surface, the interpolated value can be calculated to have the surface characteristics by using the other method in the proposed scheme. The calculated value becomes the interpolated pixel value inmagnified image. So, themagnified image reflects the surface characteristics of the real image. If the surface is not estimated as simple convex surface or simple concave surface, the interpolated value is calculated more accurately than bilinear interpolation by using the method of the proposed scheme. The PSNR values of the magnified images using the proposed schemes are greater than those of the magnified images using the previous interpolation schemes.

• Journal of the Korea Society of Computer and Information
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• v.18 no.11
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• pp.59-68
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• 2013

In this paper, an effective scheme was proposed to estimate simple convex surface and simple concave surface which exist in image. This scheme is applied to input image to estimate simple convex surface or simple concave surface. When simple convex surface or simple concave surface exists, another proposed efficient interpolation scheme is used for the interpolated pixel to have the characteristics of simple convex surface or simple concave surface. The magnified image using the proposed schemes is more similar to the real image than the magnified image using the previous schemes. The PSNR values of the magnified images using the proposed schemes are greater than those of the magnified images using the previous interpolation schemes.

• Journal of Biomedical Engineering Research
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• v.21 no.2
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• pp.129-136
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• 2000

중재적 시술을 위한 자기공명영상(MRI)용 주자석은 수직 자계를 가지는 경우가 대부분인데 본 논문에서는 수직 자계를 발생하는 주자석에 장착할 수 있는 볼록형 경사자계코일을 소개하였다. 중재적 시술에 필요한 고속 촬영을 하기 위해서는 강한 경사자계 및 낮은 코일 인덕턱스가 필요한데 본 논문에서는 이를 효율적으로 실현하기 위해 경사자계코일을 볼록 곡면 위에 실현하였다. 기존 방법에서처럼 평면 위에 경사자계코일을 실현하지 않고 볼록 곡면 위에 실현함으로써 경사자계코일의 자계 강도 특성 및 코일 인덕턱스 특성을 향상시킬 수 있을 뿐만 아니라 중재적 시술을 위한 경사자계코일 내 공간을 충분히 확보할 수 있다. Prolate spheroid 좌표계에서 표현되는 경사자계코일 면을 정의하였고, 유한요소법을 이용한 볼록형 경사자계코일 설계 방법을 기술하였다. 또한 경사자계코일 면의 곡률에 따라 경사자계코일의 성능이 어떻게 변화하는지에 대한 결과를 제시하였다.

• Journal of the Korea Society of Computer and Information
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• v.20 no.1
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• pp.63-73
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• 2015

In this paper, a quality improvement scheme is proposed for magnified image using the various curved surface characteristics of image. After testing horizontal and vertical directional surface characteristics of source image, interpolation value is calculated to have the surface characteristics such as simple convex surface, simple concave surface, and compound surface. The calculated interpolation value become the value of the interpolated pixel of magnified image. The calculated interpolation value is closer to the pixel value of real image. So, the quality of the magnified image is improved. The PSNR value of the magnified image using the proposed scheme is larger than the PSNR values of the magnified image using the existing techniques.

• Journal for History of Mathematics
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• v.20 no.4
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• pp.49-60
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• 2007

In this article, the concept of rigidity of smooth surfaces in the three dimensional Euclidean space which naturally arises in elementary geometry is introduced, and the natural process of the development of rigidity theory for compact surfaces and its generalizations are investigated.

• Journal of Korea Multimedia Society
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• v.6 no.7
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• pp.1302-1311
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• 2003

This paper presents a more stable method of multiresolution editing for a triangular mesh. The basic idea of our paper is to embed an editing area of a mesh onto a 2D region and to produce 3D surfaces which interpolate the editing-information. In this paper, we adopt the extended convex combination approach based on the shape-preserving parameterization for the embedding, which guarantees no self-intersection on the 2D embedded mesh. That is, the result of the embedding is stable. Moreover, we adopt the multi-level B-spline approach to generate the surface containing all of 3D editing-information, which can make us control the editing area in several levels. Hence, this method supports interactive editing and thus can produce intuitive editing results.

• The Journal of the Acoustical Society of Korea
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• v.41 no.6
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• pp.637-646
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• 2022

Sub-arrays of arbitrary conformal array have different geometric shape through steering direction, thus the beam patterns of sub-arrays are always non-uniform. In this paper, we apply the beam pattern synthesis method using convex optimization into the conformal array, and shows the improvement of uniformity of beam performance. The simulation is performed with the conformal array of cut-sphere shape. As a result, the standard deviation of 3 dB beamwidth in elevation is greatly reduced but the directivity index is also reduced. To alleviate this trade-off, we propose a convex optimization using a shading function.

• Journal of the Korea Society of Computer and Information
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• v.18 no.2
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• pp.49-57
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• 2013

To improve the quality of magnified image, two schemes were proposed. The one is used to estimate simple convex surface and simple concave surface using the information of adjacent pixel values, and the other scheme is used to produce magnified image using the characteristics of simple convex surface and simple concave surface. The magnified image using the proposed scheme is more similar to real image than the magnified image using the previous schemes. The PSNR values of the magnified images using the proposed scheme are greater than those of the magnified images using the previous interpolation schemes.

• Proceedings of the Korean Operations and Management Science Society Conference
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• 2000.04a
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• pp.393-396
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• 2000

본 연구에서는 필렛엔드밀을 이용하여 복합곡면을 가공하기 위한 새로운 접근방법을 제안한다. 이 방법은 "곡선기반 접근방법"으로 기존의 "점기반 접근방법"에 비하여 몇 가지 특징들을 가지고 있다. 본 연구에서는 다면체로 표현된 곡면을 대상으로 하고 있는데, 볼록한 모서리와 꼭지점에서는 정확히 옵셋시키고 오목한 부위에서는 옵셋 곡면이 겹치는 것을 허용한다. 옵셋된 곡면을 절단 평면으로 자르고, 같은 평면상에 있는 교선 중에서 겹치는 부분의 윗 부분을 택하면 공구 간섭이 제거된 공구 경로를 얻게된다. 즉 계산이 복잡한 오목지역에서의 옵셋 시 발생되는 간섭을 2차원 평면상에서 제거함으로써 계산 과정을 단순화시키고 안정적으로 만든다. 본 연구에서 제안한 방법은 PC에서 VC++로 구현되었으며 몇 가지 적용 예를 보여 주고 있다.