Circle fitting by linear and nonlinear least squares
Journal of Optimization Theory and Applications
A Theory of Single-Viewpoint Catadioptric Image Formation
International Journal of Computer Vision
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
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
Robust Localization Using Eigenspace of Spinning-Images
OMNIVIS '00 Proceedings of the IEEE Workshop on Omnidirectional Vision
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Mixing Catadioptric and Perspective Cameras
OMNIVIS '02 Proceedings of the Third Workshop on Omnidirectional Vision
Calibration of Panoramic Catadioptric Sensors Made Easier
OMNIVIS '02 Proceedings of the Third Workshop on Omnidirectional Vision
Catadioptric Camera Calibration Using Geometric Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric Properties of Central Catadioptric Line Images and Their Application in Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Single-View-Point Omnidirectional Catadioptric Cone Mirror Imager
IEEE Transactions on Pattern Analysis and Machine Intelligence
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 generic structure-from-motion framework
Computer Vision and Image Understanding - Special issue on omnidirectional vision and camera networks
Omnidirectional Robot Vision Using Conformal Geometric Computing
Journal of Mathematical Imaging and Vision
Instantaneous robot self-localization and motion estimation with omnidirectional vision
Robotics and Autonomous Systems
Image-based Visual Servoing with Central Catadioptric Cameras
International Journal of Robotics Research
International Journal of Computer Vision
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
On the Calibration of Non Single Viewpoint Catadioptric Sensors
RoboCup 2006: Robot Soccer World Cup X
Catadioptric Camera Calibration by Polarization Imaging
IbPRIA '07 Proceedings of the 3rd Iberian conference on Pattern Recognition and Image Analysis, Part II
Fitting conics to paracatadioptric projections of lines
Computer Vision and Image Understanding
Equidistant (fθ) fish-eye perspective with application in distortion centre estimation
Image and Vision Computing
Generic self-calibration of central cameras
Computer Vision and Image Understanding
Mirror localization for catadioptric imaging system by observing parallel light pairs
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I
Contour matching in omnidirectional images
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
Range identification for nonlinear parameterizable paracatadioptric systems
Automatica (Journal of IFAC)
A method for calibrating the parabolic camera using homographic matrix
ROBIO'09 Proceedings of the 2009 international conference on Robotics and biomimetics
Analytical forward projection for axial non-central dioptric and catadioptric cameras
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
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
Line Localization from Single Catadioptric Images
International Journal of Computer Vision
Calibration of omnidirectional cameras in practice: A comparison of methods
Computer Vision and Image Understanding
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
3D head position estimation using a single omnidirectional camera for non-intrusive iris recognition
MRCS'06 Proceedings of the 2006 international conference on Multimedia Content Representation, Classification and Security
A Geometric Algebra Model for the Image Formation Process of Paracatadioptric Cameras
Journal of Mathematical Imaging and Vision
Multi-view structure-from-motion for hybrid camera scenarios
Image and Vision Computing
Corisco: Robust edgel-based orientation estimation for generic camera models
Image and Vision Computing
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Catadioptric sensors refer to the combination of lens-based devices and reflective surfaces. These systems are useful because they may have a field of view which is greater than hemispherical, providing the ability to simultaneously view in any direction. Configurations which have a unique effective viewpoint are of primary interest, among these is the case where the reflective surface is a parabolic mirror and the camera is such that it induces an orthographic projection and which we call paracatadiotpric. We present an algorithm for the calibration of such a device using only the images of lines in space. In fact, we show that we may obtain all of the intrinsic parameters from the images of only three lines and that this is possible without any metric information. We propose a closed-form solution for focal length, image center, and aspect ratio for skewless cameras and a polynomial root solution in the presence of skew. We also give a method for determining the orientation of a plane containing two sets of parallel lines from one uncalibrated view. Such an orientation recovery enables a rectification which is impossible to achieve in the case of a single uncalibrated view taken by a conventional camera. We study the performance of the algorithm in simulated set-ups and compare results on real images with an approach based on the image of the mirror's bounding circle.