Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Geometric invariance in computer vision
Geometric invariance in computer vision
An experimental evaluation of projective invariants
Geometric invariance in computer vision
The non-existence of general-case view-invariants
Geometric invariance in computer vision
Recognizing general curved objects efficiently
Geometric invariance in computer vision
Estimation of Relative Camera Positions for Uncalibrated Cameras
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
Invariants of 6 Points from 3 Uncalibrated Images
ECCV '94 Proceedings of the Third European Conference-Volume II on Computer Vision - Volume II
Conic Reconstruction and Correspondence From Two Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
Relative Affine Structure: Canonical Model for 3D From 2D Geometry and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Kruppa's Equations Derived from the Fundamental Matrix
IEEE Transactions on Pattern Analysis and Machine Intelligence
Lines and Points in Three Views and the Trifocal Tensor
International Journal of Computer Vision
Sequential Updating of Projective and Affine Structure from Motion
International Journal of Computer Vision
In Defense of the Eight-Point Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reconstruction from Image Sequences by Means of Relative Depths
International Journal of Computer Vision
Determining the Epipolar Geometry and its Uncertainty: A Review
International Journal of Computer Vision
Ambiguity in Structure from Motion: Sphere versus Plane
International Journal of Computer Vision
Graph Matching With a Dual-Step EM Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reduced Multilinear Constraints: Theory and Experiments
International Journal of Computer Vision
Using Specific Displacements to Analyze Motion without Calibration
International Journal of Computer Vision
When is it Possible to Identify 3D Objects From Single Images Using Class Constraints?
International Journal of Computer Vision
Epipolar Geometry from Profiles under Circular Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Geometric Approach for the Theory and Applications of 3D Projective Invariants
Journal of Mathematical Imaging and Vision
Exact Two-Image Structure from Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Bayesian Self-Calibration of a Moving Camera
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
On the Non-linear Optimization of Projective Motion Using Minimal Parameters
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Ambiguous Configurations for 3-View Projective Reconstruction
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
A Six Point Solution for Structure and Motion
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Vision-Based Guidance and Control of Robots in Projective Space
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part II
Stereo Autocalibration from One Plane
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part II
Recovery of Circular Motion from Profiles of Surfaces
ICCV '99 Proceedings of the International Workshop on Vision Algorithms: Theory and Practice
Camera Autocalibration and Horopter Curves
International Journal of Computer Vision
Nonlinear Estimation of the Fundamental Matrix with Minimal Parameters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Applications of a direct algorithm for the rectification of uncalibrated images
Information Sciences—Informatics and Computer Science: An International Journal
Sequential projective reconstruction with factorization
Machine Graphics & Vision International Journal
Robust Estimation of Camera Rotation, Translation and Focal Length at High Outlier Rates
CRV '04 Proceedings of the 1st Canadian Conference on Computer and Robot Vision
Bayesian self-calibration of a moving camera
Computer Vision and Image Understanding
Registration Based on Projective Reconstruction Technique for Augmented Reality Systems
IEEE Transactions on Visualization and Computer Graphics
Two-View Multibody Structure-and-Motion with Outliers through Model Selection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Critical Configurations for Projective Reconstruction from Multiple Views
International Journal of Computer Vision
Technical Section: A generalized registration method for augmented reality systems
Computers and Graphics
An adaptive-scale robust estimator for motion estimation
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Robust metric calibration of non-linear camera lens distortion
Pattern Recognition
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
Is appearance-based structure from motion viable?
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
Estimation of F-Matrix and image rectification by double quaternion
Information Sciences: an International Journal
Detecting critical configuration of six points
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part II
A unified and complete framework of invariance for six points
IWMM'04/GIAE'04 Proceedings of the 6th international conference on Computer Algebra and Geometric Algebra with Applications
Adaptive-Scale robust estimator using distribution model fitting
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part III
Analysis and interpretation of multiple motions through surface saliency
SCVMA'04 Proceedings of the First international conference on Spatial Coherence for Visual Motion Analysis
3D face and motion estimation from sparse points using adaptive bracketed minimization
Multimedia Tools and Applications
Optimal data embedding in 3d models for extraction from 2d views using perspective invariants
IWDW'12 Proceedings of the 11th international conference on Digital Forensics and Watermaking
Computer Vision and Image Understanding
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This correspondence investigates projective reconstruction of geometric configurations seen in two or more perspective views, and the computation of projective invariants of these configurations from their images. A basic tool in this investigation is the fundamental matrix that describes the epipolar correspondence between image pairs. It is proven that once the epipolar geometry is known, the configurations of many geometric structures (for instance sets of points or lines) are determined up to a collineation of projective 3-space /spl Pscrsup 3/ by their projection in two independent images. This theorem is the key to a method for the computation of invariants of the geometry. Invariants of six points in /spl Pscrsup 3/ and of four lines in /spl Pscrsup 3/ are defined and discussed. An example with real images shows that they are effective in distinguishing different geometrical configurations. Since the fundamental matrix is a basic tool in the computation of these invariants, new methods of computing the fundamental matrix from seven-point correspondences in two images or six-point correspondences in three images are given.