Motion from point matches: multiple of solutions
International Journal of Computer Vision
Invariant Descriptors for 3D Object Recognition and Pose
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part I
A theory of self-calibration of a moving camera
International Journal of Computer Vision
Geometric invariance in computer vision
Geometric invariance in computer vision
Invariant linear methods in photogrammetry and model-matching
Geometric invariance in 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
Invariants of 6 Points from 3 Uncalibrated Images
ECCV '94 Proceedings of the Third European Conference-Volume II on Computer Vision - Volume II
Projective Structure from two Uncalibrated Images: Structure from Motion and Recognition
Projective Structure from two Uncalibrated Images: Structure from Motion and Recognition
Affine Structure from Line Correspondences With Uncalibrated Affine Cameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
Efficient Invariant Representations
International Journal of Computer Vision
Determining the Epipolar Geometry and its Uncertainty: A Review
International Journal of Computer Vision
When is it Possible to Identify 3D Objects From Single Images Using Class Constraints?
International Journal of Computer Vision
Two-Way Ambiguity in 2D Projective Reconstruction from Three Uncalibrated 1D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Minimal Projective Reconstruction Including Missing Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Match Propogation for Image-Based Modeling and Rendering
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Projective Reconstruction from N Views Having One View in Common
ICCV '99 Proceedings of the International Workshop on Vision Algorithms: Theory and Practice
Model-based object recognition using geometric invariants of points and lines
Computer Vision and Image Understanding
Relation between 3D invariants and 2D invariant
VSR '95 Proceedings of the IEEE Workshop on Representation of Visual Scenes
Multiple Motion Scene Reconstruction with Uncalibrated Cameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
Circular Motion Geometry Using Minimal Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Online Estimation of Trifocal Tensors for Augmenting Live Video
ISMAR '04 Proceedings of the 3rd IEEE/ACM International Symposium on Mixed and Augmented Reality
A Quasi-Dense Approach to Surface Reconstruction from Uncalibrated Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Some Results on Minimal Euclidean Reconstruction from Four Points
Journal of Mathematical Imaging and Vision
Image-Based Modeling by Joint Segmentation
International Journal of Computer Vision
Detecting and Handling Unreliable Points for Camera Parameter Estimation
International Journal of Computer Vision
Projective reconstruction of ellipses from multiple images
Pattern Recognition
Resampling structure from motion
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Exploiting loops in the graph of trifocal tensors for calibrating a network of cameras
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
The Key to Three-View Geometry
International Journal of Computer Vision
Sparse motion segmentation using multiple six-point consistencies
ACCV'10 Proceedings of the 2010 international conference on Computer vision - Volume Part I
Detecting critical configuration of six points
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part II
Space-Time invariants for 3d motions from projective cameras
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
On Camera Calibration with Linear Programming and Loop Constraint Linearization
International Journal of Computer Vision
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There are three projective invariants of a set of six points in general position in space. It is well known that these invariants cannot be recovered from one image, however an invariant relationship does exist between space invariants and image invariants. This invariant relationship is first derived for a single image. Then this invariant relationship is used to derive the space invariants, when multiple images are available.This paper establishes that the minimum number of images for computing these invariants is three, and the computation of invariants of six points from three images can have as many as three solutions. Algorithms are presented for computing these invariants in closed form.The accuracy and stability with respect to image noise, selection of the triplets of images and distance between viewing positions are studied both through real and simulated images.Applications of these invariants are also presented. Both the results of Faugeras [1] and Hartley et al. [2] for projective reconstruction and Sturm驴s method [3] for epipolar geometry determination from two uncalibrated images with at least seven points are extended to the case of three uncalibrated images with only six points.