Line Localization from Single Catadioptric Images

  • Authors:
  • Simone Gasparini;Vincenzo Caglioti

  • Affiliations:
  • INRIA Grenoble---Rhône-Alpes, Montbonnot St. Martin, France 38334;Dipartimento di Elettronica e Informazione, Politecnico di Milano, Milano, Italy 20133

  • Venue:
  • International Journal of Computer Vision
  • Year:
  • 2011

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Abstract

Indoor environments often contain several line segments. The 3D reconstruction of such environments can thus be reduced to the localization of lines in the 3D space. Multi-view reconstruction requires the solution of the correspondence problem. The use of a single image to localize space lines is attractive, since the correspondence problem can be avoided. However, using a central camera the line localization from single image is an ill-posed problem, because there are infinitely many lines sharing the same image.In this work we relaxed the constraint on single viewpoint imaging and considered a wide class of non-central catadioptric cameras, constituted by an axial symmetric mirror and a perspective camera placed at a generic relative position. In the paper we report the results of our study on line localization for such cameras, reporting the conditions that allow a line to be localized from a single image. We show how the analysis can be extended to other classes of non-central devices sharing a similar imaging model. We also present a brief overview of the main algorithms for line localization from single image that have been proposed.