Depth computations from polyhedral images
Image and Vision Computing - Special issue: 2nd European Conference on Computer Vision
Projective geometry and computer vision
Handbook of pattern recognition & computer vision
Trilinearity in visual recognition by alignment
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Canonic representations for the geometries of multiple projective views
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Invariants of 6 points from 3 uncalibrated images
ECCV '94 Proceedings of the third European conference on Computer Vision (Vol. II)
A common framework for kinetic depth, reconstruction and motion for deformable objects
ECCV '94 Proceedings of the third European conference on Computer Vision (Vol. II)
Relative 3D reconstruction using multiple uncalibrated images
International Journal of Robotics Research
Algebraic Functions For Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
How to Use the Cross Ratio to Compute Projective Invariants from Two Images
Proceedings of the Second Joint European - US Workshop on Applications of Invariance in Computer Vision
A Case Against Epipolar Geometry
Proceedings of the Second Joint European - US Workshop on Applications of Invariance in Computer Vision
The Dou8ble Algebra: An Effective Tool for Computing Invariants in Computer Vision
Proceedings of the Second Joint European - US Workshop on Applications of Invariance in Computer Vision
Reconstruction from image sequences by means of relative depths
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Trilinearity of three perspective views and its associated tensor
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
Efficient Invariant Representations
International Journal of Computer Vision
Dual Computation of Projective Shape and Camera Positions from Multiple Images
International Journal of Computer Vision
Reduced Multilinear Constraints: Theory and Experiments
International Journal of Computer Vision
Solutions and Ambiguities of the Structure and Motion Problem for 1DRetinal Vision
Journal of Mathematical Imaging and Vision
Two-Way Ambiguity in 2D Projective Reconstruction from Three Uncalibrated 1D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Linear Multi View Reconstruction and Camera Recovery Using a Reference Plane
International Journal of Computer Vision
Ambiguous Configurations for the 1D Structure and Motion Problem
Journal of Mathematical Imaging and Vision
Critical Curves and Surfaces for Euclidean Reconstruction
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
Plane+Parallax, Tensors and Factorization
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Dualizing Scene Reconstruction Algorithms
SMILE'98 Proceedings of the European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
Revisiting Single-View Shape Tensors: Theory and Applications
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
International Journal of Computer Vision
Critical Configurations for Projective Reconstruction from Multiple Views
International Journal of Computer Vision
The Minimal Structure and Motion Problems with Missing Data for 1D Retina Vision
Journal of Mathematical Imaging and Vision
Sparse motion segmentation using multiple six-point consistencies
ACCV'10 Proceedings of the 2010 international conference on Computer vision - Volume Part I
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Given multiple image data from a set of points in 3D, there are two fundamental questions that can be addressed: (1) What is the structure of the set of points in 3D? (2) What are the positions of the cameras relative to the points? In this paper, we show that for projective views and with structure- and position-defined modulo linear transformations, these problems are are dual in the sense that their solution arises from constraint equations where space point and camera positions occur in a reciprocal way. The problem of computing camera positions from m points in n views can be solved with the same algorithm as the problem of directly reconstructing n+4 points in m-4 views. This unifies different approaches for projective reconstruction: methods based on external calibration and direct methods exploiting constraints that exist between space and image invariants.