• Title/Summary/Keyword: rotation point

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Research on the Basic Rodrigues Rotation in the Conversion of Point Clouds Coordinate System

  • Xu, Maolin;Wei, Jiaxing;Xiu, Hongling
    • Journal of Information Processing Systems
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    • v.16 no.1
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    • pp.120-131
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    • 2020
  • In order to solve the problem of point clouds coordinate conversion of non-directional scanners, this paper proposes a basic Rodrigues rotation method. Specifically, we convert the 6 degree-of-freedom (6-DOF) rotation and translation matrix into the uniaxial rotation matrix, and establish the equation of objective vector conversion based on the basic Rodrigues rotation scheme. We demonstrate the applicability of the new method by using a bar-shaped emboss point clouds as experimental input, the three-axis error and three-term error as validate indicators. The results suggest that the new method does not need linearization and is suitable for optional rotation angle. Meanwhile, the new method achieves the seamless splicing of point clouds. Furthermore, the coordinate conversion scheme proposed in this paper performs superiority by comparing with the iterative closest point (ICP) conversion method. Therefore, the basic Rodrigues rotation method is not only regarded as a suitable tool to achieve the conversion of point clouds, but also provides certain reference and guidance for similar projects.

The Effects on the Thermal Changes of Five-Shu-Points(五輸穴) and Yonghyang$(LI_{20}$,迎香) of the Large Intestine Meridian with the Rotated Acupuncture-Bu-Xie(捻轉補瀉) on the Hapkok$(LI_4$,合谷), Using the D.I.T.I. (합곡(合谷)$(LI_4)$에 행(行)한 염전보사(捻轉補瀉) 침자극(鍼刺戟)이 적외선(赤外線) 체열(體熱) 촬영(撮影)을 이용(利用)한 수양명대장경(手陽明大腸經)의 오수혈(五輸穴)과 영향(迎香)($(LI_{20})$)영역(領域)의 온도변화(溫度變化)에 미치는 영향(影響))

  • Song Beom-Yong;Kim Kyung-Sik;Sohn In-Chul
    • Korean Journal of Acupuncture
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    • v.17 no.1
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    • pp.47-65
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    • 2000
  • The meridian, the meridian point and the Acupuncture-Bu-Xie(鍼灸補瀉) of oriental medicine are very important in the Department of Acupuncture and Moxibustion. Until now it has been confused at the practical use, and it showed up many transformation to the ages and many scholars. And then, I made a study of effects on the thermal changes of Sangyang($LI_1$,商陽), Igan($LI_2$,二間), Samgan($LI_3$,三間), Hapkok($LI_4$,合谷), Yanggye($LI_5$,陽谿), Kokchi($LI_{11}$,曲池), Yonghyang($LI_{20}$,迎香) following acupuncture on the Hapkok with the Rotated Acupuncture-Bu-Xie(捻轉補瀉) stimulation. This study researched into clinical statistics for 140 men who are in good health, and they are studying oriental medicine at Woosuk university in Korea. This study was covered a period of 3 months form June, 1999 to August, 1999. The objective was divided into seven groups, those are the control group(CON, N=20), the acupuncture stimulation group with non-rotation on Hapkok of left hand(A-I, N=20), the acupuncture stimulation group with non-rotation on non-meridian point(NA) of left hand(A-II, N=20), the acupuncture stimulation group with Bu-rotation(捻轉補法) on Hapkok of left hand(B-I, N=20), the acupuncture stimulation group with Bu-rotation on non-meridian point(NA) of left hand(B-II, N=20), the acupuncture stimulation group with Xie-rotation(捻轉瀉法) on Hapkok of left hand(C-I, N=20), and the acupuncture stimulation group with Xie-rotation on non-meridian point of left hand(C-II, N=20). The first, I took a picture for 140 men with the Digital infrared thermal image(D.I.T.I.). After 10 minutes, I took a second picture for each group following experimental methods, those were followed acupuncture on the Hapkok and the non-meridian point with the retentive and Rotated Acupuncture-Bu-Xie stimulation. The results are summarized as follows : 1. The thermal changes of the area which is a meridian point in the Large Intestine Meridian of the acupuncture stimulation group on Hapkok different from the control groups with significantly change. 2.The thermal changes of the area which is a meridian point in the Large Intestine Meridian of acupuncture stimulation groups on non-meridian point was not significantly different from the control group. 3. The thermal changes of the area which is a meridian point in the Large Intestine Meridian of the acupuncture stimulation group with Bu-rotation on Hapkok different from the control group with significant increase. 4. The thermal changes of the area which is a meridian point in the Large Intestine Meridian of acupuncture stimulation group with Bu-rotation on non-meridian point was not significantly different from the control group. 5. The thermal changes of the area which is a meridian point in the Large Intestine Meridian of the acupuncture stimulation group with Xie-rotation on Hapkok different from the control group with significant decrease and increase following the decreasing or increasing temperature class, and the increasing temperature class of the acupuncture stimulation group with Xie-rotation on Hapkok significantly different from the acupuncture stimulation group with Bu-rotation on Hapkok. 6. The thermal changes of the area which is a meridian point in the Large Intestine Meridian of acupuncture stimulation group with Xie-rotation on non-meridian point was not significantly different from the control group. As a conclusion, I could think that the acupuncture stimulation with Bu-rotation or Xie-rotation on Hapkok affected the thermal change of the area which is a meridian point in the Large Intestine Meridian. And then I could relate these results with the existence of the meridian and meridian point, and with the Rotated Acupuncture-Bu-Xie theory of oriental medicine.

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Estimation of Rotation Point of Laterally Loaded Piles through Laboratory Test (실내모형 실험을 통한 수평재하말뚝의 회전점 산정)

  • Hwang, Sung-Wook;Hong, Jung-Moo;Lee, Jun-Hwan
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.10a
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    • pp.744-747
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    • 2008
  • In this study, to analyze the rotation point of piles, the laboratory lateral load test was performed. The lateral load bearing capacity is one of the important factor related with structure failure directly. Analyzing rotation point in different soil condition, relative density and stress condition, leads more accurate ultimate lateral bearing capacity. Also, reliability was analyzed about established 예측식 as applying to tapered pile. As a result, the established prediction was suitable to cylider pile, but not to tapered pile.

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Rotation Point of Laterally Loaded Pile Under Multi Layered Soil (다층지반 하에서 수평하중을 받는 말뚝의 회전점)

  • Kang, Beong-Joon;Kyung, Doo-Hyun;Hong, Jung-Moo;Lee, Jun-Hwan
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.10a
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    • pp.708-712
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    • 2008
  • Piles and pile foundations have been in common use since very early times. Usually function of piles is to carry load to a depth at which adequate support is available. Another important use of piles is to furnish lateral support and nowadays it is getting highlighted due to the wind load, lateral action of earthquake, and so on. After Broms (1964), many researchers have been suggested methods for estimating lateral capacity of pile. But each method assumes different earth pressure distribution and lateral earth pressure coefficient and it gives confusion to pile designers. Lateral earth pressure, essential in lateral capacity estimation, influenced by pile's behavior under lateral load. Prasad and Chari (1999) assumed the rotation point of pile and suggested an equation of ultimate lateral load capacity. In this study, we investigate the depth of rotation point in both homogeneous soil and multi layered soil, and compare to the estimation value by previous research. To model the pile set up in the sand, we use the chamber and small scale steel pile, and rain drop method. Test results show the rotation point is formed where the Prasad and Chari's estimation value, and they also show multi layered condition affects to location of rotation point to be scattered.

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Mathematical Expression of Eye Movement Using Rotation Matrix (Rotation Matrix를 이용한 안구운동의 수학적 표현)

  • Kim, YongGeun
    • 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$(r,{\theta},{\phi})$.

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Development of a Pure Bending Test Machine and Bending Collapse Characteristics of Rectangular Tubes (순수굽힘 시험기개발 및 사각관부재의 굽힘붕괴특성 연구)

  • 강신유;장인배;김헌영
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.1
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    • pp.222-233
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    • 1998
  • A 4-point pure bending res machine is developed the evaluate the pure vending moment-rotation properties of the thin-walled tubes without imposing shear and tensile forces. The moment-rotation properties of the thin-walled tubes are measured up to and beyond collapse with the pure bending test machine. The test results are compared with those of finite element analyses and existing analytical solution.

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On the Use of Finite Rotation Angles for Spacecraft Attitude Control

  • Kim, Chang Joo;Hur, Sung Wook;Ko, Joon Soo
    • International Journal of Aeronautical and Space Sciences
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    • v.18 no.2
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    • pp.300-314
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    • 2017
  • This paper examines finite rotation angle (FRA) applications for spacecraft attitude control. The coordinate transformation matrix and the attitude kinematics represented by FRAs are introduced. The interpolation techniques for the angular orientations are thoroughly investigated using the FRAs and the results are compared to those using traditional methods. The paper proposes trajectory description techniques by using extremely smooth polynomial functions of time, which can describe point-to-point attitude maneuvers in a realizable and accurate manner with the help of unique FRA features. In addition, new controller design techniques using the FRAs are developed by combining the proposed interpolation techniques with a model predictive control framework. The proposed techniques are validated through their attitude control applications for an aggressive point-to-point maneuver. Conclusively, the FRAs provide much more flexibility than quaternions and Euler angles when describing kinematics, generating trajectories, and designing attitude controllers for spacecraft.

Analysis of the Rotational Behavior of Piles under Lateral Loading Installed in Multi Layered Soil (다층지반에 근입된 수평재하 말뚝의 회전거동 분석)

  • Kang, Beong-Joon;Kyung, Doo-Hyun;Hong, Jung-Moo;Lee, Jun-Hwan
    • Journal of the Korean Geotechnical Society
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    • v.25 no.1
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    • pp.55-64
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    • 2009
  • One of the important use of piles is to furnish lateral support and nowadays it is getting highlighted due to the increase of skyscrapers, transmission towers, wind turbines, and other lateral action dependent structures. After Broms (1964), many researchers have suggested methods for estimating lateral capacity of pile. But each method assumes different earth pressure distribution and lateral earth pressure coefficient causing confusion on the part of pile designers. Lateral earth pressure, essential in lateral capacity estimation, is influenced by pile's rotational behavior under lateral load. Prasad and Chari (1999) assumed the rotation point of pile and suggested an equation of ultimate lateral load capacity. In this study, we investigate the depth of rotation point in both homogeneous soil and multi layered soil, and compare with the estimation value by previous research. Test results show that measured rotation point and estimated value by Prasad and Chari's equation show good agreement and multi layered condition affects the location of rotation point to be changed.

FPGA Implementation of Extreme Contour Point Algorithm to detect rotated angle of High Definition Image (고해상 영상의 회전된 각도를 검출하기 위한 Extreme Contour Point 알고리즘의 FPGA 설계)

  • Jeong, Min-woo;Pack, Chan-su;Kim, Hi-Seok
    • Journal of IKEEE
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    • v.20 no.4
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    • pp.344-350
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    • 2016
  • In this Paper, we propose an optimized method of hardware design based on Field Programmable Gate Array (FPGA) to detect rotated angle of high definition image about Extreme Contour Point (ECP) algorithm with moving video image could be not happened to translation motion, but also physical rotation motion. It was evaluated by XC7Z020 xc7z020-3clg400 FPGA board by using xilinx 14.2 tool. The much well-known method, the Coordinate Rotation Digital Integrated Computation (CORDIC) is an algorithm to estimate rotated angle between point and point. Through the result both ECP and CORDIC, our proposed design are confirmed to have similar operating speed of about 4ns with CORDIC. However, it is verified to have high performance result in terms of the hardware cost, is much better than CORDIC with cost reduction of registers and Look Up Tables (LUTs) of 108% and 91%, respectively.

Contact Stress Analysis of a Pair of Mating Spur Gears (스퍼기어의 접촉응력 해석)

  • Lee, Jin-Hwan;Lee, Dong-Hyong;Lee, Kwon-Hee
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.4
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    • pp.59-65
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    • 2010
  • This paper presents the study on the contact stress analysis of a pair of mating spur gears during rotation. Contact stress analysis is performed between two spur gear teeth at different contact positions during rotation. An example is presented to investigate the variation of contact stress on a pair of mating gears with contact positions. The variation of contact stress during rotation is compared with the contact stress at lowest point of single tooth contact(LPSTC) and AGMA Equation for contact stress. The results show that contact stress varies along the contact position and gets maximum values in the beginning and end of the contact. In this study, the gear design considering the contact stress on a pair of mating gears is more severe than that of AGMA standard.