The twisted cubic and camera calibration
Computer Vision, Graphics, and Image Processing
Motion from point matches: multiple of solutions
International Journal of Computer Vision
A theory of self-calibration of a moving camera
International Journal of Computer Vision
Artificial Intelligence - Special volume on computer vision
Performance characterization of fundamental matrix estimation under image degradation
Machine Vision and Applications - Special issue on performance evaluation
Self-Calibration of a Moving Camera from PointCorrespondences and Fundamental Matrices
International Journal of Computer Vision
Affine Structure from Line Correspondences With Uncalibrated Affine Cameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
Algebraic Functions For Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Self-Calibration from Image Triplets
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Algebraic Varieties in Multiple View Geometry
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
A Common Framework for Multiple View Tensors
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Euclidean Reconstruction from Uncalibrated Views
Proceedings of the Second Joint European - US Workshop on Applications of Invariance in Computer Vision
Autocalibration and the absolute quadric
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
About the correspondences of points between N image
VSR '95 Proceedings of the IEEE Workshop on Representation of Visual Scenes
In defence of the 8-point algorithm
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
A linear method for reconstruction from lines and points
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Matching constraints and the joint image
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Fast individual face modeling and animation
Proceedings of the second Australasian conference on Interactive entertainment
From omnidirectional images to hierarchical localization
Robotics and Autonomous Systems
Image-Based Augmented Reality Model for Image-Guided Surgical Simulation
Medical Imaging and Informatics
Reconstruction from Projections Using Grassmann Tensors
International Journal of Computer Vision
Geometric calibration of digital cameras through multi-view rectification
Image and Vision Computing
Reliable and efficient landmark-based localization for mobile robots
Robotics and Autonomous Systems
Comparing self-calibration methods for static cameras
EUROCAST'07 Proceedings of the 11th international conference on Computer aided systems theory
International Journal of Computer Vision
A fast individual face modeling and facial animation system
Edutainment'06 Proceedings of the First international conference on Technologies for E-Learning and Digital Entertainment
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We introduce the concept of self-calibration of a 1D projective camera from point correspondences, and describe a method for uniquely determining the two internal parameters of a 1D camera, based on the trifocal tensor of three 1D images. The method requires the estimation of the trifocal tensor which can be achieved linearly with no approximation unlike the trifocal tensor of 2D images and solving for the roots of a cubic polynomial in one variable. Interestingly enough, we prove that a 2D camera undergoing planar motion reduces to a 1D camera. From this observation, we deduce a new method for self-calibrating a 2D camera using planar motions. Both the self-calibration method for a 1D camera and its applications for 2D camera calibration are demonstrated on real image sequences.