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首页> 外文会议>Second European Workshop on 3D Structure from Multiple Images of Large-Scale Environments, Jul 1-2, 2000, Dublin, Irleand >On Computing Metric Upgrades of Projective Reconstructions under the Rectangular Pixel Assumption
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On Computing Metric Upgrades of Projective Reconstructions under the Rectangular Pixel Assumption

机译：矩形像素假设下投影重构的度量度量升级

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摘要

This paper shows how to upgrade the projective reconstruction of a scene to a metric one in the case where the only assumption made about the cameras observing that scene is that they have rectangular pixels (zero-skew cameras). The proposed approach is based on a simple characterization of zero-skew projection matrices in terms of line geometry, and it handles zero-skew cameras with arbitrary or known aspect ratios in a unified framework. The metric upgrade computation is decomposed into a sequence of linear operations, including linear least-squares parameter estimation and eigenvalue-based symmetric matrix factorization, followed by an optional non-linear least-squares refinement step. A few classes of critical motions for which a unique solution cannot be found are spelled out. A MATLAB implementation has been constructed and preliminary experiments with real data are presented.
机译：本文说明了如何将场景的投影重建升级为公制场景，在这种情况下，关于观察该场景的摄像机的唯一假设是它们具有矩形像素（零偏斜摄像机）。所提出的方法基于线几何方面零偏投影矩阵的简单特征，并且它在统一框架中处理具有任意或已知纵横比的零偏相机。度量升级计算被分解为一系列线性运算，包括线性最小二乘参数估计和基于特征值的对称矩阵分解，然后进行可选的非线性最小二乘细化步骤。阐述了几种无法找到唯一解决方案的关键动作。已经构建了MATLAB实现，并提供了具有实际数据的初步实验。

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