A Theory of Catadioptric Image Formation

  • Authors:
  • Simon Baker;Shree K. Nayar

  • Affiliations:
  • -;-

  • Venue:
  • ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
  • Year:
  • 1998

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Abstract

Conventional video cameras have limited fields of view which make them restrictive for certain applications in computational vision. A catadioptric sensor uses a combination of lenses and mirrors placed in a carefully arranged configuration to capture a much wider field of view. When designing a catadioptric sensor, the shape of the mirror(s) should ideally be selected to ensure that the complete catadioptric system has a single effective viewpoint. In this paper, we derive the complete class of single-lens single-mirror catadioptric sensors which have a single viewpoint and an expression for the spatial resolution of a catadioptric sensor in terms of the resolution of the camera used to construct it. We also include a preliminary analysis of thedefocus blur caused by the use of a curved mirror.