A Theory of Single-Viewpoint Catadioptric Image Formation
International Journal of Computer Vision
Paracatadioptric Camera Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Direct Least Squares Fitting of Ellipses
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
Structure from Motion with Wide Circular Field of View Cameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fitting conics to paracatadioptric projections of lines
Computer Vision and Image Understanding
A unifying geometric representation for central projection systems
Computer Vision and Image Understanding - Special issue on omnidirectional vision and camera networks
A generic structure-from-motion framework
Computer Vision and Image Understanding - Special issue on omnidirectional vision and camera networks
Multiperspective modeling, rendering, and imaging
ACM SIGGRAPH ASIA 2008 courses
Fitting conics to paracatadioptric projections of lines
Computer Vision and Image Understanding
Self-location from monocular uncalibrated vision using reference omniviews
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
Calibration of Central Catadioptric Cameras Using a DLT-Like Approach
International Journal of Computer Vision
Calibration of omnidirectional cameras in practice: A comparison of methods
Computer Vision and Image Understanding
Self-calibration of hybrid central catadioptric and perspective cameras
Computer Vision and Image Understanding
Multi-view structure-from-motion for hybrid camera scenarios
Image and Vision Computing
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We analyze relations that exist between multiple views of a static scene, where the views can be taken by any mixture of para-catadioptric, perspective or affine cameras. Concretely, we introduce the notion of fundamental matrix, trifocal and quadrifocal tensors for the different possible combinations of these camera types. We also introduce the notion of plane homography for mixed image pairs. Generally speaking, these novel multi-view relations may form the basis for the typical geometric computations like motion estimation, 3D reconstruction or (self-) calibration. A few novel algorithms illustrating some of these aspects, are described, especially concerning what we call calibration transfer, using fundamental matrices, and self-calibration from plane homographies.