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Analysis of Geometrical Relations of 2D Affine-Projection Images and Its 3D Shape Reconstruction  

Koh, Sung-Shik (Samsung Techwin Co., Ltd.)
Zin, Thi Thi (Osaka City University)
Hama, Hiromitsu (Osaka City University)
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Abstract
In this paper, we analyze geometrical relations of 3D shape reconstruction from 2D images taken under anne projection. The purpose of this research is to contribute to more accurate 3-D reconstruction under noise distribution by analyzing geometrically the 2D to 3D relationship. In situation for no missing feature points (FPs) or no noise in 2D image plane, the accurate solution of 3D shape reconstruction is blown to be provided by Singular Yalue Decomposition (SVD) factorization. However, if several FPs not been observed because of object occlusion and image low resolution, and so on, there is no simple solution. Moreover, the 3D shape reconstructed from noise-distributed FPs is peturbed because of the influence of the noise. This paper focuses on analysis of geometrical properties which can interpret the missing FPs even though the noise is distributed on other FPs.
Keywords
고유치 행렬인수분해;정사투영;3차원 형상복원;손실된 특징점;기하학적 분석;
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