A Theory of Catadioptric Image Formation - Robotics Institute Carnegie Mellon University

A Theory of Catadioptric Image Formation

Simon Baker and Shree K. Nayar
Conference Paper, Proceedings of (ICCV) International Conference on Computer Vision, pp. 35 - 42, 1998

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 the defocus blur caused by the use of a curved mirror.

BibTeX

@conference{Baker-1998-14563,
author = {Simon Baker and Shree K. Nayar},
title = {A Theory of Catadioptric Image Formation},
booktitle = {Proceedings of (ICCV) International Conference on Computer Vision},
year = {1998},
month = {January},
pages = {35 - 42},
}