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Journal of Mathematical Imaging and Vision

, Volume 61, Issue 9, pp 1322–1328 | Cite as

Critical Loci for Two Views Reconstruction as Quadratic Transformations Between Images

  • Marina BertoliniEmail author
  • Luca Magri
  • Cristina Turrini
Article
  • 17 Downloads

Abstract

In this paper, the effect of the existence of a critical set for the projective reconstruction of a scene in \({{\mathbb {P}}}^{3}\) from two views is analyzed directly on the image planes. Corresponding points, which are images of critical points, are linked by a birational map between the two planes which is a quadratic transformation. This transformation is explicitly described and used to investigate the instability phenomena for reconstruction with a new approach.

Keywords

Critical loci Two views projection Quadratic transformation Epipolar geometry 

Notes

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Dipartimento di Matematica “F. Enriques”Università degli Studi di MilanoMilanItaly
  2. 2.Dipartimento Politecnico di Ingegneria e ArchitetturaUdineItaly

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