A Theory of Single-Viewpoint Catadioptric Image Formation
International Journal of Computer Vision
Rectified Catadioptric Stereo Sensors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Paracatadioptric Camera Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Catadioptric Stereo Using Planar Mirrors
International Journal of Computer Vision
Catadioptric Projective Geometry
International Journal of Computer Vision
Epipolar Geometry for Central Catadioptric Cameras
International Journal of Computer Vision
A Unifying Theory for Central Panoramic Systems and Practical Applications
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part II
Catadioptric Camera Calibration Using Geometric Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pseudo-Stereo Vision System: A Detailed Study
Journal of Intelligent and Robotic Systems
Corneal Imaging System: Environment from Eyes
International Journal of Computer Vision
Multiview radial catadioptric imaging for scene capture
ACM SIGGRAPH 2006 Papers
Modelling and accuracy estimation of a new omnidirectional depth computation sensor
Pattern Recognition Letters
A prism-based single-lens stereovision system: From trinocular to multi-ocular
Image and Vision Computing
International Journal of Computer Vision
Stochastic Local Search for Omnidirectional Catadioptric Stereovision Design
IbPRIA '07 Proceedings of the 3rd Iberian conference on Pattern Recognition and Image Analysis, Part II
Planar catadioptric stereo: single and multi-view geometry for calibration and localization
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Axial-cones: modeling spherical catadioptric cameras for wide-angle light field rendering
ACM SIGGRAPH Asia 2010 papers
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
Single camera stereo system using prism and mirrors
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
Calibration of omnidirectional camera by considering inlier distribution
RSCTC'06 Proceedings of the 5th international conference on Rough Sets and Current Trends in Computing
PCM'06 Proceedings of the 7th Pacific Rim conference on Advances in Multimedia Information Processing
Reconstructing illumination environment by omnidirectional camera calibration
AI'06 Proceedings of the 19th Australian joint conference on Artificial Intelligence: advances in Artificial Intelligence
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In this paper, we propose the use of mirrors and a single camera for computational stereo. When compared to conventional stereo systems that use two cameras, our method has a number of significant advantages such as wide field of view, single viewpoint projection, identical camera parameters and ease of calibration. We propose four stereo systems that use a single camera pointed towards planar, ellipsoidal, hyperboloidal, and paraboloidal mirrors. In each case, we present a derivation of the epipolar constraints. Next, we attempt to understand what can be seen by each system and formalize the notion of field of view. We conclude with two experiments to obtain 3-D structure. In the first we use a pair of planar mirrors, and in the second a pair of paraboloidal mirrors. The results of our experiments demonstrate the viability of stereo using mirrors.