Multiple Interpretations of the Shape and Motion of Objects from Two Perspective Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
A theory of self-calibration of a moving camera
International Journal of Computer Vision
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
Reconstruction from Calibrated Cameras—A New Proof of the Kruppa-Demazure Theorem
Journal of Mathematical Imaging and Vision
Theory of Reconstruction from Image Motion
Theory of Reconstruction from Image Motion
Estimation of Relative Camera Positions for Uncalibrated Cameras
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Camera Self-Calibration: Theory and Experiments
ECCV '92 Proceedings of the Second European Conference on Computer Vision
What can be seen in three dimensions with an uncalibrated stereo rig
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Self-Calibration from Image Triplets
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Euclidean 3D Reconstruction from Image Sequences with Variable Focal Lenghts
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Minimal Conditions on Intrinsic Parameters for Euclidean Reconstruction
ACCV '98 Proceedings of the Third Asian Conference on Computer Vision-Volume II
Autocalibration and the absolute quadric
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Critical Motion Sequences for Monocular Self-Calibration and Uncalibrated Euclidean Reconstruction
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Metric calibration of a stereo rig
VSR '95 Proceedings of the IEEE Workshop on Representation of Visual Scenes
The Modulus Constraint: A New Constraint for Self-Calibration
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
Euclidean Reconstruction from Constant Intrinsic Parameters
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
Ambiguity in Reconstruction From Images of Six Points
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
From Projective to Euclidean Space Under any Practical Situation, a Criticism of Self-Calibration
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Self-Calibration of Rotating and Zooming Cameras
International Journal of Computer Vision
Ambiguous Configurations for the 1D Structure and Motion Problem
Journal of Mathematical Imaging and Vision
Bayesian Self-Calibration of a Moving Camera
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Surviving Dominant Planes in Uncalibrated Structure and Motion Recovery
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Multiple Motion Scene Reconstruction with Uncalibrated Cameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
Depth distortion under calibration uncertainty
Computer Vision and Image Understanding
Bayesian self-calibration of a moving camera
Computer Vision and Image Understanding
Using Geometric Constraints through Parallelepipeds for Calibration and 3D Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence
Camera Autocalibration and the Calibration Pencil
Journal of Mathematical Imaging and Vision
Focal length calibration from two views: method and analysis of singular cases
Computer Vision and Image Understanding
Affine Reconstruction from Translational Motion under Various Autocalibration Constraints
Journal of Mathematical Imaging and Vision
Self-calibration from turn-table sequences in presence of zoom and focus
Computer Vision and Image Understanding
A convenient multicamera self-calibration for virtual environments
Presence: Teleoperators and Virtual Environments
Journal of Mathematical Imaging and Vision
Line Geometry and Camera Autocalibration
Journal of Mathematical Imaging and Vision
Focal length calibration from two views: method and analysis of singular cases
Computer Vision and Image Understanding
Self-calibration from turn-table sequences in presence of zoom and focus
Computer Vision and Image Understanding
3D Reconstruction from Multiple Images Part 1: Principles
Foundations and Trends® in Computer Graphics and Vision
Affine structure from translational motion in image sequences
SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
Comparing self-calibration methods for static cameras
EUROCAST'07 Proceedings of the 11th international conference on Computer aided systems theory
Euclidean Upgrading from Segment Lengths
International Journal of Computer Vision
Degeneracy from twisted cubic under two views
Journal of Computer Science and Technology
VAST'04 Proceedings of the 5th International conference on Virtual Reality, Archaeology and Intelligent Cultural Heritage
A new method for camera stratified self-calibration under circular motion
The Visual Computer: International Journal of Computer Graphics
Self-calibration of stationary non-rotating zooming cameras
Image and Vision Computing
Hi-index | 0.00 |
Auto-calibration is the recovery of the full camera geometry and Euclidean scene structure from several images of an unknown 3D scene, using rigidity constraints and partial knowledge of the camera intrinsic parameters. It fails for certain special classes of camera motion. This paper derives necessary and sufficient conditions for unique auto-calibration, for several practically important cases where some of the intrinsic parameters are known (e.g. skew, aspect ratio) and others can vary (e.g. focal length). We introduce a novel subgroup condition on the camera calibration matrix, which helps to systematize this sort of auto-calibration problem. We show that for subgroup constraints, criticality is independent of the exact values of the intrinsic parameters and depends only on the camera motion. We study such critical motions for arbitrary numbers of images under the following constraints: vanishing skew, known aspect ratio and full internal calibration modulo unknown focal lengths. We give explicit, geometric descriptions for most of the singular cases. For example, in the case of unknown focal lengths, the only critical motions are: (i) arbitrary rotations about the optical axis and translations, (ii) arbitrary rotations about at most two centres, (iii) forward-looking motions along an ellipse and/or a corresponding hyperbola in an orthogonal plane. Some practically important special cases are also analyzed in more detail.