Oriented projective geometry
Panoramic representation for route recognition by a mobile robot
International Journal of Computer Vision - Special issue on machine vision research at Osaka University
International Journal of Computer Vision
Immersive teleconferencing: a new algorithm to generate seamless panoramic video imagery
MULTIMEDIA '99 Proceedings of the seventh ACM international conference on Multimedia (Part 1)
International Journal of Computer Vision
A Theory of Single-Viewpoint Catadioptric Image Formation
International Journal of Computer Vision
Oriented Projective Geometry for Computer Vision
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Epipolar Geometry of Panoramic Cameras
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Catadioptric Omnidirectional Camera
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
A New Catadioptric Sensor for the Panoramic Vision of Mobile Robots
OMNIVIS '00 Proceedings of the IEEE Workshop on Omnidirectional Vision
Omniview Cameras with Curved Surface Mirrors
OMNIVIS '00 Proceedings of the IEEE Workshop on Omnidirectional Vision
Catadioptric Sensors that Approximate Wide-Angle Perspective Projections
OMNIVIS '00 Proceedings of the IEEE Workshop on Omnidirectional Vision
A Method for 3D Reconstruction of Piecewise Planar Objects from Single Panoramic Images
OMNIVIS '00 Proceedings of the IEEE Workshop on Omnidirectional Vision
OMNIVIS '00 Proceedings of the IEEE Workshop on Omnidirectional Vision
Omni-Directional Vision for Robot Navigation
OMNIVIS '00 Proceedings of the IEEE Workshop on Omnidirectional Vision
Panoramic Virtual Stereo Vision of Cooperative Mobile Robots for Localizing 3D Moving Objects
OMNIVIS '00 Proceedings of the IEEE Workshop on Omnidirectional Vision
Robust Localization Using Eigenspace of Spinning-Images
OMNIVIS '00 Proceedings of the IEEE Workshop on Omnidirectional Vision
A Theory of Catadioptric Image Formation
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Properties of the Catadioptric Fundamental Matrix
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Reliable 3D Reconstruction from a Few Catadioptric Images
OMNIVIS '02 Proceedings of the Third Workshop on Omnidirectional Vision
Image Processing in Catadioptric Planes: Spatiotemporal Derivatives and Optical Flow Computation
OMNIVIS '02 Proceedings of the Third Workshop on Omnidirectional Vision
Catadioptric Camera Calibration Using Geometric Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
Planar Ego-Motion Without Correspondences
WACV-MOTION '05 Proceedings of the IEEE Workshop on Motion and Video Computing (WACV/MOTION'05) - Volume 2 - Volume 02
Panoramic stereo reconstruction using non-SVP optics
Computer Vision and Image Understanding
Rotation Recovery from Spherical Images without Correspondences
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fitting conics to paracatadioptric projections of lines
Computer Vision and Image Understanding
Markov random fields for catadioptric image processing
Pattern Recognition Letters
Markov random fields for catadioptric image processing
Pattern Recognition Letters
Correspondence-free Structure from Motion
International Journal of Computer Vision
Image-based Visual Servoing with Central Catadioptric Cameras
International Journal of Robotics Research
International Journal of Computer Vision
Symmetric distributed coding of stereo omnidirectional images
Image Communication
Fuzzy edge detection for omnidirectional images
Fuzzy Sets and Systems
A new linear algorithm for calibrating central catadioptric cameras
Pattern Recognition
Processing Sparse Panoramic Images via Space Variant Operators
Journal of Mathematical Imaging and Vision
Fast Central Catadioptric Line Extraction
IbPRIA '07 Proceedings of the 3rd Iberian conference on Pattern Recognition and Image Analysis, Part II
Spherical Edge Detector: Application to Omnidirectional Imaging
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Epipolar geometry of catadioptric stereo systems with planar mirrors
Image and Vision Computing
A Generic Method of Line Matching for Central Imaging Systems under Short-Baseline Motion
ICIAP '09 Proceedings of the 15th International Conference on Image Analysis and Processing
Fitting conics to paracatadioptric projections of lines
Computer Vision and Image Understanding
Panoramic stereo reconstruction using non-SVP optics
Computer Vision and Image Understanding
Dynamic visual attention on the sphere
Computer Vision and Image Understanding
Low bit-rate compression of omnidirectional images
PCS'09 Proceedings of the 27th conference on Picture Coding Symposium
Dynamic attentive system for omnidirectional video
PCS'09 Proceedings of the 27th conference on Picture Coding Symposium
Dynamic programming and skyline extraction in catadioptric infrared images
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Motion estimation by decoupling rotation and translation in catadioptric vision
Computer Vision and Image Understanding
Wide-angle Visual Feature Matching for Outdoor Localization
International Journal of Robotics Research
Epipolar geometry via rectification of spherical images
MIRAGE'07 Proceedings of the 3rd international conference on Computer vision/computer graphics collaboration techniques
A framework for robust and incremental self-localization of a mobile robot
ICVS'03 Proceedings of the 3rd international conference on Computer vision systems
Stochastically optimal epipole estimation in omnidirectional images with geometric algebra
RobVis'08 Proceedings of the 2nd international conference on Robot vision
Omnidirectional vision applied to Unmanned Aerial Vehicles (UAVs) attitude and heading estimation
Robotics and Autonomous Systems
Omnidirectional visual control of mobile robots based on the 1D trifocal tensor
Robotics and Autonomous Systems
Omnidirectional image processing using geodesic metric
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
TV-regularized generation of planar images from omnicams
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
A method for calibrating the parabolic camera using homographic matrix
ROBIO'09 Proceedings of the 2009 international conference on Robotics and biomimetics
Optimal estimation and detection in homogeneous spaces
IEEE Transactions on Signal Processing
A 2-point algorithm for 3D reconstruction of horizontal lines from a single omni-directional image
Pattern Recognition Letters
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
RANSAC based ellipse detection with application to catadioptric camera calibration
ICONIP'10 Proceedings of the 17th international conference on Neural information processing: models and applications - Volume Part II
Display-camera calibration using eye reflections and geometry constraints
Computer Vision and Image Understanding
A cubic polynomial model for fisheye camera
HCII'11 Proceedings of the 14th international conference on Human-computer interaction: design and development approaches - Volume Part I
Central catadioptric image processing with geodesic metric
Image and Vision Computing
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
Pose estimation from uncertain omnidirectional image data using line-plane correspondences
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
Variational analysis of spherical images
CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
Geometry and kinematics with uncertain data
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Rotation estimation and vanishing point extraction by omnidirectional vision in urban environment
International Journal of Robotics Research
Lens model selection for visual tracking
PR'05 Proceedings of the 27th DAGM conference on Pattern Recognition
Projective model for central catadioptric cameras using clifford algebra
PR'05 Proceedings of the 27th DAGM conference on Pattern Recognition
Applications of conformal geometric algebra in computer vision and graphics
IWMM'04/GIAE'04 Proceedings of the 6th international conference on Computer Algebra and Geometric Algebra with Applications
Calibrating effective focal length for central catadioptric cameras using one space line
Pattern Recognition Letters
A calibration method for paracatadioptric camera from sphere images
Pattern Recognition Letters
Optical flow computation for compound eyes: variational analysis of omni-directional views
BVAI'05 Proceedings of the First international conference on Brain, Vision, and Artificial Intelligence
Self-calibration of hybrid central catadioptric and perspective cameras
Computer Vision and Image Understanding
Scale Invariant Feature Transform on the Sphere: Theory and Applications
International Journal of Computer Vision
A Fisher-Rao Metric for Paracatadioptric Images of Lines
International Journal of Computer Vision
Optical flow estimation on omnidirectional images: an adapted phase based method
ICISP'12 Proceedings of the 5th international conference on Image and Signal Processing
Parallel tracking and mapping with multiple cameras on an unmanned aerial vehicle
ICIRA'12 Proceedings of the 5th international conference on Intelligent Robotics and Applications - Volume Part I
The PANOPTIC Camera: A Plenoptic Sensor with Real-Time Omnidirectional Capability
Journal of Signal Processing Systems
A unified framework for line extraction in dioptric and catadioptric cameras
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV
Particle filter tracking without dynamics
Applied Bionics and Biomechanics
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Catadioptric sensors are devices which utilize mirrors and lenses to form a projection onto the image plane of a camera. Central catadioptric sensors are the class of these devices having a single effective viewpoint. In this paper, we propose a unifying model for the projective geometry induced by these devices and we study its properties as well as its practical implications. We show that a central catadioptric projection is equivalent to a two-step mapping via the sphere. The second step is equivalent to a stereographic projection in the case of parabolic mirrors. Conventional lens-based perspective cameras are also central catadioptric devices with a virtual planar mirror and are, thus, covered by the unifying model. We prove that for each catadioptric projection there exists a dual catadioptric projection based on the duality between points and line images (conics). It turns out that planar and parabolic mirrors build a dual catadioptric projection pair. As a practical example we describe a procedure to estimate focal length and image center from a single view of lines in arbitrary position for a parabolic catadioptric system.