Single view metrology of a rectangular paralleliped using vanishing points

Authors

  • Evan Vidal B. Sagge Department of Physics, Ateneo de Manila University
  • Quirino M. Sugon, Jr. Department of Physics, Ateneo de Manila University
  • Daniel J. McNamara Department of Physics, Ateneo de Manila University

Abstract

In this paper, we present a vector approach to find the relative dimensions of a rectangular parallelepiped based only on one of its perspective images. We used the parallel and perpendicular constraints of the object to locate the three vanishing points of its image and the observer position. This 3D reconstruction method yields a set of nonlinear equations whose solutions we verify using a photograph of a box of known dimensions. Though the results here may be automated, the method still breaks down if some of the vanishing points are at infinity.

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Issue

Article ID

SPP-2005-PA-45

Section

Poster Session PA

Published

2005-10-26

How to Cite

[1]
EVB Sagge, QM Sugon, and DJ McNamara, Single view metrology of a rectangular paralleliped using vanishing points, Proceedings of the Samahang Pisika ng Pilipinas 23, SPP-2005-PA-45 (2005). URL: https://proceedings.spp-online.org/article/view/SPP-2005-PA-45.