• Proceedings of the Korean Information Science Society Conference
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• 1998.10c
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• pp.405-407
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• 1998

이 논문에서는 회전과 줌을 하는 카메라의 내부변수를 3차원 패턴 없이 주어진 영상만을 이용하여 구하는 방법을 제안한다. 먼저, 카메라의 skew를 0으로 가정하면 카메라의 내부변수가 매 영상취득 시점마다 바뀌어도 그 값들을 구할 수 있다는 것을 이론적으로 보인다. 이때 구해지는 회전 행렬을 기준 좌표계를 설정하는데 따라 달라질 뿐이다. 카메라 보정은 획득되어진 영상 사이의 투영변환행렬을 분석하여 얻어지며, 이는 회전하는 카메라에서 얻어진 두 영상 사이에는 투영변환행렬이 존재한다는 것을 이용한 것이다. 가장 일반적인 경우, 즉 카메라의 skew를 0으로 가정하면, 카메라 내부변수를 계산하기 위하여 모두 네 개의 투영변환행렬이 필요하며, 가장 단순한 카메라 모델의 경우 principal point와 aspect ratio 가 변화하지 않으면 단지 한 개의 투영거리변환이 필요하다. 합성 데이터와 실제 영상 데이터를 이용하여 제안하는 알고리듬을 시험하였다.

• Journal of Korean Ophthalmic Optics Society
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• v.4 no.2
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• pp.51-55
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• 1999

The eye movement of the eyeball's center of a rotation can represent with the rotation matrix $R_x$, $R_y$, $R_z$ due to a coordinate axis rotation transformation of Cartesian coordinate, and describes of an abduction, an adduction, an elevation, a depression, an intorsion, an extorsion in principle rotation six forms of the eye. The eye movement from primary eye position to tertiary eye position could be composed with the rotation matrix combination, and by the primary rotation of six and the secondary rotation of eight, could be represented with the extrocular muscle of six. The position of the cornea vertex point or pupil point due to the eye movement can describe to transform the rotation matrix of the cartesian coordinate to spherical coordinate$(r,{\theta},{\phi})$.

• Proceedings of the KIPE Conference
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• 2015.07a
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• pp.337-338
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• 2015

본 논문에서는 고주파 신호 주입 센서리스 제어를 위한 정지 좌표계 상의 회전자 위치를 추정하는 새로운 기법에 대하여 제안한다. 기존 방법은 저역 통과 필터의 시지연 및 전류 차로 이루어진 행렬의 역행렬 유무 문제가 존재하였다. 제안된 기법은 이러한 문제의 해결방안으로 정지 좌표계 상에서 변환 행렬을 이용하여 회전자 위치 정보를 추출해 낸다. 또한 추출해 낸 위치 정보로 전대역 통과 필터를 이용하여 회전자 위치를 정밀하게 추정하게 된다. 시뮬레이션을 통하여 제안된 방법의 타당성을 검증하였다.

• Journal for History of Mathematics
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• v.10 no.1
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• pp.12-18
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• 1997

수학의 각 분야 중에서 선형성을 가지는 부분은 그 이론이 가장 정연하게 처리되나 이것이 선형대수학이라는 학문으로 형성된 것은 최근의 일이며, 더욱이 선형대수는 그 광범위한 응용성으로 인하여 더욱 중요시되게 되었다. 선형대수의 교육적 의의는 함수의 특수한 경우인 선형변환을 다룸으로서 선형성을 지닌 수학의 구조를 쉽게 파악할 수 있다는 것이며 더욱이 해석기하 등에도 쉽게 응용할 수 있게 된다. 본 논문에서는 타인, 쌍곡선, 포물선인 이차곡선을 행렬을 이용하여 표현하고, 좌표축의 회전이동과 평행이동을 통하여 행렬을 대각화하고, 고유치의 부호에 의하여 이차곡선의 변환과 분류를 다루었으며 더불어 곡선의 개형을 알아보았다.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.12 no.6
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• pp.199-206
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• 2012

Attempt to use as a marker of natural objects directly in the real world, but there is a way to use the accelerometer of the smartphone, to convert the Frontal-View virtual, because it asks only the pitch of the camera, from the side there is a drawback that can not be converted to images. The proposed algorithm, to obtain the rotation matrix of axis 3 pitch, roll, yaw, we set the reference point of the yaw of the target image. Then, to compensate for the rotation matrix to determine Myon'inji any floor, wall, the ceiling of the target image. Finally, to obtain the homography matrix for obtaining the Frontal-View to account for the difference between the gyro sensor coordinate system and image coordinate system, so we can get the Frontal-View from the captured images through the projection transformation was designed. Was tested to convert Frontal-View the picture was taken in an environment smartphone environment surrounding floor, walls and ceiling in order to evaluate the conversion program Frontal-View has been implemented, in this paper, design and The conversion algorithm implementation, it was confirmed that to convert a regular basis Frontal-View footage taken from multiple angles.

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.34 no.1
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• pp.81-88
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• 2006

In this paper, we analyze a noncommutativity error that is not able to be compensated with integrating gyro outputs in RLG-based INS. The system can suffer from some motion known as RLG dithering motion, coning motion, ISA motion derived by an AV mount and vehicle real dynamic motion. So these motions are a cause of the noncommutativity error, the system error derived by each motion has to be analyzed. For the analysis, a relation between rotation vector and gyro outputs is introduced and applied to define the coordinate transformation matrix and the angular vector.

• Proceedings of the KIEE Conference
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• 2011.07a
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• pp.1782-1783
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• 2011

실내공간상에서 3차원 실시간 위치를 결정하는 다양한 측지기법들이 존재하지만 $100{\mu}m$ 이하 계측기 수준의 정밀도를 측정하는 방법은 여전히 Laser Theodolite 신호를 사용할 수밖에 없다. Rotary-Laser Automatic Theodolite(R-LAT)는 Fan Laser Beam을 주사하면서 회전시킨 후 주어진 공간의 수직과 수평을 계측하는 Laser Transmitter의 한 종류이다. 본 논문에서는 R-LAT에서 발생되는 Fan Laser Beam 신호를 취득할 수 있는 센서와 증폭회로의 개발을 통하여 3차원 공간좌표에 대한 회전변환행렬로 이루어진 알고리즘을 제안하고 실험을 통하여 기존 Laser Tracker에서 구해지는 공간좌표와 상호 비교하였다.

• The Transactions of the Korea Information Processing Society
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• v.2 no.3
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• pp.390-396
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• 1995

One of the advantages of computer graphics is that it enables to view an object on different viewpoints and different angles. Therefore, a computer graphics system should be able to rotate an arbitrary object by an arbitrary angle about an arbitrary axis. This is usually done by rotating vertices that represent an object and connecting them. Hence an image may have many vertices, it is important to be able to rotate each of them quickly. Therefore, this paper is interested in a rotation matrix computation method that consists of the smallest number of computational steps. This pater proposes an algorithm that computes rotation matrix to rotate a 3 dimensional image about an arbitrary axis quickly.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.14 no.11
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• pp.5385-5391
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• 2013

As on-line purchases is activated, customers' demand increases for the realistic and accurate digital information of a product design. In this paper, we propose a practical method that can generate a realistic 3D model of a real product using a 3D geometry obtained by a 3D scanner and its photographic images. In order to register images to the 3D geometry, the camera focal length, the CCD scanning aspect ratio and the transformation matrix between the camera coordinate and the 3D object coordinate must be determined. To perform this 2D-3D registration with consideration of computational complexity, a three-step method is applied, which consists of camera calibration, determination of a temporary optimum translation vector (TOTV) and nonlinear optimization for three rotational angles. A case study for a metallic coated industrial part, of which the colour appearance is hardly obtained by a 3D colour scanner has performed to demonstrate the effectiveness of the proposed method.

• The Transactions of the Korean Institute of Power Electronics
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• v.6 no.2
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• pp.115-124
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• 2001

In this paper, authors propose a new nonlinear rotor flux observer for rotor field oriented control of an induction motor which is designed based on the extended Luenberger Observer theory. Extended Luenberger Observer requires minimal solution of nonlinear partial differential equation on its coordinate transformation and linearization needed on a nonlinear observer design in general. The proposed rotor flux observer is derived from the 2 phase model of induction motor on the orthogonal coordination and it has the reduce gain matrix. Simulation and experimentation were performed under the conventional indirect vector control and direct vector control with the proposed observer at different rotor resistance. Simulation results show that the convergence of the proposed observer is influenced by the chosen eigenvalues. Experimentation results on load operation show the direct vector control with the proposed observer is better than the indirect vector control to maintain the characteristics of the vector control.