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쿼터니언과 프로크루스테스를 이용한 점대선기반 3차원 좌표변환
서홍덕(Hong-Deok Seo),김의명(Eui-Myoung Kim) 제어로봇시스템학회 2020 제어·로봇·시스템학회 논문지 Vol.26 No.10
3D coordinate transformation is the process of matching different three-dimensional coordinate systems equally, and is an important task in photogrammetry, computer vision, and robotics. This study proposed a method of using quaternions and Procrustes algorithms to fit different three-dimensional coordinate systems using points and straight lines. Rotational elements were calculated using quaternions by projecting the coordinates of the points in the model coordinate system onto those in the reference coordinate system. For the scale factor and three-dimensional translation, Procrustes algorithms using points and straight lines were then used. Indoor experiments using checker-boards were conducted, followed by experiments using outdoor data acquired from a terrestrial mobile mapping system. It was found that more than four point-to-line pairs are needed to perform three-dimensional transformation reliably.
다수의 임의로 경사진 타원 함유체의 체적 적분방정식법을 이용한 수치 해석
오상민(Sang-Min Oh),이혜창(Hye-Chang Lee),서홍덕(Hong-Duk Seo),이진형(Jin-Hyung Lee),이정기(Jung-Ki Lee) 대한기계학회 2012 대한기계학회 춘추학술대회 Vol.2012 No.11
A volume integral equation method (VIEM) is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solid containing multiple arbitrarily oriented elliptical inclusions subject to uniform stress at infinity. The inclusions are assumed to be long parallel elliptical cylinders composed of isotropic elastic material perfectly bonded to the isotropic matrix. The solid is assumed to be under plane strain on the plane normal to the cylinders. A detailed analysis of the stress field at the matrix-inclusion interface for square and hexagonal packing of the inclusions is carried out for different values of the number, inclined angles and concentration of the elliptical inclusions. The accuracy and efficiency of the method are examined through comparison with results available in the literature.