• Title/Summary/Keyword: Least Square Circle Fitting

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Pre-Alignment Using the Least Square Circle Fitting (Least Square Circle Fitting을 이용한 Pre-Alignment)

  • Lee, Nam-Hee;Cho, Tai-Hoon
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2009.10a
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    • pp.410-413
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    • 2009
  • Wafer pre-alignment is to find the center and the orientation of a wafer and to move the wafer to the desired position and orientation. In this paper, an area camera based pre-aligning method is presented that captures 8 wafer images regularly during 360 degrees rotation. From the images, wafer edge positions are extracted and used to estimate the wafer's center and orientation using least square circle fitting. These information are utilized for the proper alignment of the wafer.

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A New Circular Curve Fitting of Articulated Manipulators Using Least Squares (Least Square를 이용한 수직다관절 Manipulator의 새로운 원호 경로 보간 방법)

  • 정원지;이춘만;김대영;서영교;홍형표
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.4
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    • pp.17-22
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    • 2003
  • This paper presents a new circular curve fitting approach of articulated manipulators, based on least square. The approach aims at gaining the interpolation of circle from n data points, under the condition that the fitted circle should pass both a starting point and an ending point. First a spherical fitting should be performed, using least squares. Then the circular curve fitting can be resulted from the intersection of the fitted sphere and the plane obtained from 3 points, i. e., a starting point, an ending point and the center of a sphere. The proposed algorithms are shown to be efficient by using MATLAB-based simulation.

An Efficient Approach to Circular Curve Fitting of Articulated Manipulators Using Least Squares (최소자승법을 이용한 수직다관절 Manipulator의 원호보간에 관한 효과적인 방법)

  • 김대영;최은재;정원지;서영교;홍형표
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.570-575
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    • 2002
  • This paper presents a new circular curve fitting approach of articulated manipulators, based on pseudoinverses. The paper aims at gaining the interpolation of circle from n data points, under the condition that the fitted circle should pass both a start point and an end point. In this paper, two algorithms of circular interpolation are presented. Prior to circular interpolation, are a spherical fitting should be performed, using least squares. In the first algorithm, the relationship between point data and normal vector on the sphere is used. In the second algorithm. the equation of plane which can be obtained from 3 points, i.e., a start point, an end point, and center of a sphere. The proposed algorithms are show to be efficient by using MATLAB-based simulation.

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Development of Diaphragm-type Stylus Probe for Ultra-precision On-machine Measurement Application (초정밀 기상측정용 다이아프램 타입 접촉식 프로브의 개발)

  • Lee, Jung-Hoon;Lee, Chan-Hee;Choi, Joon-Myeong;Kim, Ho-Sang
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.8
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    • pp.845-852
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    • 2012
  • The diaphragm-type stylus probe was developed for ultra-precision on-machine measurement (OMM) application. This probe is equipped with two diaphragms which are parallel and one capacitive sensor is used for detecting the vertical motion of end tip in the stylus when it is contacted to the optical freeform surface. For better performance of proposed probes, several design parameters such as axial stiffness and the lateral deformations were investigated with finite element analysis techniques. To verify the feasibility, the profiles of the master sphere ball were measured on the ultra-precision milling machine. The measurement results show that the proposed probe can calculate the radius of the circle within the accuracy of 0.1 ${\mu}m$ for the ultraprecision optical surface.

Characteristics of Seismic Activity in the 20th century and Analysis on the Damage and Intensity of Yeongwol Earthquake(December, 13, 1996) (20C 한반도 지진활동 특성과 영월지진(1996년12월13일)의 피해 및 진도 분석)

  • 경재복
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1997.04a
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    • pp.77-87
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    • 1997
  • The earthquake data(M$\geq$4.0) for post-1900 in the Korean Peninsula show temporal variation with active and quiet periods. The pattern is quite similar to northeastern China and Inner Zone of Southwest Japan. Yeongweol earthquake occurred in the seismic gap region of the Korean Peninsula. This is the first medium-size earthquake in inland region of the southern peninsula since 1978. The intensity based on the felt area estimation of about 400 places shows MMI III-Ⅷ in inland region. IIon Cheju Island and Ion Ulreung Island. The isoseismal of MMI Ⅶ shows an elongated circle in the direction of NE-SW and covers some parts of Jungdong-myon, Yeongweol-kun, Sindong-eup and Nam-myun, Jeongseon-kun. There occurred quite strong shaking, numerous cracks on the walls of buildings, falling and movement of slate and tiles on the roofs, falling of tiles from the wall and falling of materials from desks, rook falling from mountain and collapse of gravel lauers on the river side. The least square fitting of the intensity data of the Yeongweol earthquake by a popular intensity attenuation relation yields the following : I=Io+1.82249 - 0.65295*InR - 0.00707*R

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Stable and Precise Multi-Lane Detection Algorithm Using Lidar in Challenging Highway Scenario (어려운 고속도로 환경에서 Lidar를 이용한 안정적이고 정확한 다중 차선 인식 알고리즘)

  • Lee, Hanseul;Seo, Seung-Woo
    • Journal of the Institute of Electronics and Information Engineers
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    • v.52 no.12
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    • pp.158-164
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    • 2015
  • Lane detection is one of the key parts among autonomous vehicle technologies because lane keeping and path planning are based on lane detection. Camera is used for lane detection but there are severe limitations such as narrow field of view and effect of illumination. On the other hands, Lidar sensor has the merits of having large field of view and being little influenced by illumination because it uses intensity information. Existing researches that use methods such as Hough transform, histogram hardly handle multiple lanes in the co-occuring situation of lanes and road marking. In this paper, we propose a method based on RANSAC and regularization which provides a stable and precise detection result in the co-occuring situation of lanes and road marking in highway scenarios. This is performed by precise lane point extraction using circular model RANSAC and regularization aided least square fitting. Through quantitative evaluation, we verify that the proposed algorithm is capable of multi lane detection with high accuracy in real-time on our own acquired road data.