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首页> 外文期刊>International journal of computer mathematics >SIMULATION STUDIES FOR THE PERFORMANCE ANALYSIS OF THE RECONSTRUCTION OF A LINE IN 3-D FROM TWO ARBITRARY PERSPECTIVE VIEWS USING TWO PLANE INTERSECTION METHOD
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SIMULATION STUDIES FOR THE PERFORMANCE ANALYSIS OF THE RECONSTRUCTION OF A LINE IN 3-D FROM TWO ARBITRARY PERSPECTIVE VIEWS USING TWO PLANE INTERSECTION METHOD

机译：使用两个平面相交方法从两个任意视角对3D线重构的性能进行仿真研究

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摘要

Objects in nature as well as man made are bound by planar as well as curvilinear surfaces. Hence the reconstruction process of three dimensional objects involves obtaining the geometrical attributes of these planar and curvilinear surfaces, lines, points etc. If a line in 3-D space is viewed from two arbitrary positions, two different images of the same line are obtained. The correspondence between this pair of projections of the line is assumed to be established in this work. The work presented in this paper describes a method of reconstruction of a line in 3-D as an intersection of two planes containing the respective projected line images. The parameters of the line in 3-D space are obtained from the parameters of projected images of the line. Relevant mathematical formulations and analytical solutions for obtaining the parameters of the reconstructed line are given. The effect of noise in the reconstruction and the efficiency of the described reconstruction methodology are studied by simulation studies.
机译：自然和人造物体都受平面和曲线表面的束缚。因此，三维对象的重建过程涉及获得这些平面和曲线表面，线，点等的几何属性。如果从两个任意位置观察3-D空间中的一条线，则将获得同一条线的两个不同图像。假定在这项工作中建立了这对线的投影之间的对应关系。本文提出的工作描述了一种在3-D中重建线条的方法，该线条是包含各自投影线条图像的两个平面的交点。从线的投影图像的参数获得3-D空间中的线的参数。给出了获得重构线参数的相关数学公式和解析解。通过仿真研究来研究噪声在重建中的影响以及所描述的重建方法的效率。

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