• Transactions on Control, Automation and Systems Engineering
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• 제4권1호
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• pp.92-99
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• 2002

To obtain visual information of a target object, a camera should be placed within the visibility region. As the visibility region is dependent on the relative position of the target object and the surrounding object, the position change of the surrounding object during a task requires recalculation of the visibility region. For a fast computation of the visibility region so as to modify the camera position to be located within the visibility region, we propose a spherical projection method. After being projected onto the sphere the visibility region is represented in $\theta$-$\psi$ spaces of the spherical coordinates. The reduction of calculation space enables a fast modification of the camera location according to the motion of the surrounding objects so that the continuous observation of the target object during the task is possible.

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.73-86
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• 2007

The general stereographic projection which maps a point on a sphere with arbitrary radius to a point on a plane stereographically and its inverse projection have the pythagorean-hodograph (PH) preserving property in the sense that they map a PH curve to another PH curve. Upon this fact, for given spatial $C^1$ Hermite data, we construct a spatial PH curve on a sphere that is a $C^1$ Hermite interpolant of the given data as follows: First, we solve $C^1$ Hermite interpolation problem for the stereographically projected planar data of the given data in $\mathbb{R}^3$ with planar PH curves expressed in the complex representation. Second, we construct spherical PH curves which are interpolants for the given data in $\mathbb{R}^3$ using the inverse general stereographic projection.

• 대한조선학회논문집
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• 제45권6호
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• pp.695-702
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• 2008

In this paper, a new numerical method is proposed to analyze near-field sonar cross section of acoustically large-sized underwater targets such as submarines. A near-field problem is converted to a far-field problem using a spherical projection method with respect to the objective target. Then, sonar cross section is calculated with a physical optics well established in far-field acoustic wave scattering problems. The analysis results of a square flat plate compared with those obtained by other method show the accuracy of the proposed method. Moreover, it is noted that the sonar cross section is varied with respect to the targeting point as well as the range. Finally, numerical analysis results of real-like underwater target such as a submarine pressure hull are discussed.

• 한국정밀공학회지
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• 제20권2호
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• pp.33-39
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• 2003

A new microlens fabrication technique, the excimer laser lithography is developed. This bases on the pulsed laser irradiation and the transfer of a chromium-on-quartz reticle on to the polymer surface with a proper projection optics system. An excimer laser lithography system with 1/4 and 1/20 demagnification ratios was constructed first, and the photoablation characteristics of the PMMA and Polyimide were experimentally examined using this system. For two different shapes of microlenses, a spherical lens and a cylindrical lens, fabrication techniques were investigated. One for the spherical lens is a combination of the mask pattern projection and fraction effect. The other for the cylindrical lens is a combination of the mask pattern projection and the relative movement of a specimen. The result shows that various shapes of micro optical components can be easily fabricated by the excimer laser lithography.

• 한국컴퓨터그래픽스학회논문지
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• 제21권1호
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• pp.1-11
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• 2015

360도 전방향을 촬영한 파노라마 이미지를 디스플레이 하기 위해서는 기존의 플랫하고 좁은 시야 각을 커버하는 스크린 시스템으로는 큰 비효율을 갖는다. 반면, 환경에 직접 이미지를 투사하는 방식인 몰입 형 환경 투사 시스템을 활용하면 보다 넓은 화각의 디스플레이 시스템의 구현이 가능하다. 기존의 환경 투사 시스템은 다수의 프로젝터로 넓은 화각을 커버하는 형태인 다중 투사 기술을 활용하여 왔으나 다수의 장비로 인한 넓은 공간의 필요성, 유지관리에 대한 어려움, 다소 비싼 설치비용과 같은 문제점을 가지고 있었다. 반면, 거울투사 시스템은 상대적으로 간단한 구조로 이루어져 이에 좋은 대안이 될 수 있으나, 정교한 설치의 필요성과 거울의 왜곡으로 인해 캘리브레이션이 쉽지 않다는 문제점을 지니고 있었다. 본 논문에서는 임의의 공간에서 보다 쉽고 편리한 파노라마 디스플레이 시스템을 만들 수 있도록 단일 프로젝터와 단일 구형 반사경을 활용한 전방향 환경 거울 투사 시스템을 제안한다. 빠르고 쉬운 캘리브레이션 과정을 위해 사용자에게 직관적이고 최적화된 캘리브레이션 시스템을 제공하여 시스템 설치과정의 효율성을 높였다. 또한, 캘리브레이션 정보를 바탕으로 이미지를 워핑하고 보정하여 투사 환경에 최적화된 이미지를 만드는 제작 방법을 제시한다. 다양한 실험들을 통해 제시된 결과는 우리 방식이 전방향 환경 투사 시스템을 구축하는데 보다 빠르고 최적화된 결과물을 만드는데 있어 효율을 증진시켰음을 확인하였다. 결론적으로, 우리가 제안한 시스템을 통해서 임의의 공간에서 적은 수의입력을 통해 쉽고 편리하게 전방향 투사 시스템을 만들 수 있다. 이는 파노라마 이미지의 활용도와 디스플레이 환경을 개선하였고, 또한 이러한 환경에 최적화된 이미지 제작 방법을 제안하여, 해상도 손실 없이 이미지 제작을 가능하게 하였다.

• Kyungpook Mathematical Journal
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• 제59권4호
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• pp.821-834
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• 2019

The reductivity of a spherical curve is the minimal number of times a particular local transformation called an inverse-half-twisted splice is required to obtain a reducible spherical curve from the initial spherical curve. It is unknown if there exists a spherical curve whose reductivity is four. In this paper, an unavoidable set of configurations for a spherical curve with reductivity four is given by focusing on 5-gons. It has also been unknown if there exists a reduced spherical curve which has no 2-gons and 3-gons of type A, B and C. This paper gives the answer to this question by constructing such a spherical curve.

• 방송공학회논문지
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• 제22권6호
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• pp.850-853
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• 2017

본 논문에서는 초광각 카메라를 활용한 전방위 영상 및 객체 추적 결과 영상 표출을 통한 영상 분석 시스템을 제안한다. 구형 전방위 영상 생성을 위해 광각 영상 두 개에서 equirectangular 파노라마 영상으로의 projection 과정을 거쳤고, 구면 좌표계 변환식을 사용하여 구형 영상으로 표출하였다. 객체 추적은 원하는 객체를 초기에 선택하는 방식으로 수행되었으며, equirectangular 영상 내 왜곡으로 인한 객체 형태 변화에도 강인한 객체 추적이 이루어질 수 있도록 KCF(Kernelized Correlation Filter) 알고리즘을 사용하였다. 초기 다이얼로그에서는 파일 및 모드를 선택하고, 이후 새 다이얼로그에서 구형 영상 매핑 수행 결과 영상이 표출되도록 하였으며, 객체 추적 모드를 선택한 경우 새로운 창에서 원하는 영역을 드래그하여 ROI를 설정한 뒤, 이를 매 프레임마다 추적할 수 있도록 하였다.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2002년도 추계학술대회논문집
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• pp.410-415
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• 2002

In this article, spatial filtering procedures with application to spherical acoustical holography are discussed. Planar and cylindrical holography are the most widely used amongst the various nearfield acoustical holography techniques. However, when the geometry of a source is similar to a sphere, spherical holography may yield better results than other types of holography since there are no errors due to truncation of the sound field in the spherical case. Spatial filtering affects the accuracy of spherical acoustical holography critically, especially in the case of backward projection. Thus spatial filtering is essential for successful application of spherical holography. In the present work, various filtering methods were evaluated in simulations made using sound pressure fields of various types and with different levels of random spatial noise. It was found that a procedure based on eliminating spherical harmonic coefficients that contribute insignificantly to the total sound power of the source gave the best results on average of the different procedures considered here. Spherical holography procedures were also verified experimentally. Reliable results were obtained using the power filtering algorithm. Thus it was concluded that spherical holography combined with power filtering may prove to be a useful tool for noise source identification.

• 대한원격탐사학회지
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• 제18권3호
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• pp.171-179
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• 2002

Sampling rates become inconsistent when spatial data in the spherical coordinate are resampled with respect to latitudinal or longitudinal degree for mathematical processes such as Fourier Transform, and this results in distortions of the processed data in the wavenumber domain. These distortions are more evident in the polar regions. An example is presented to show such distortions during the recovery process of free-air gravity anomalies from ERS-1 satellite radar altimeter data from the Barents Sea in the Russian Arctic, and a method is presented to minimize the distortion using the Lambert Conformal Conic map projection. This approach was found to enhance the free-air gravity anomalies in both data and wavenumber domains.

• Journal of Electrical Engineering and Technology
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• 제13권1호
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• pp.352-361
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• 2018

This paper proposes a sensing system of the Halbach array permanent magnet spherical motor(PMSM). The rotor position can be obtained by solving three rotation angles, which revolves around 3 reference axes of the stator. With the development of 3-D hall sensor, the position identification problem of the Halbach array PMSM based on rotor magnetic field is studied in this paper. A nonlinear and serious coupling relationship between the rotation angles and the measured magnetic flux density is established on the basis of the rotation transformation theory and the magnetic field model. In order to get rid of the influence on position detection caused by the harmonics of rotor magnetic field and the stator coil magnetic field, a sensor location combination scheme is proposed. In order to solve the nonlinear equation fast and accurately, a new position solution algorithm which combines the merits of gradient projection and particle swarm optimization(PSO) is presented. Then the rotation angles are obtained and the rotor position is identified. The validity of the sensing system is verified through the simulation.