Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Structure from motion using line correspondences
International Journal of Computer Vision
International Journal of Computer Vision
Motion and Structure from Line Correspondences; Closed-Form Solution, Uniqueness, and Optimization
IEEE Transactions on Pattern Analysis and Machine Intelligence
A linear algorithm for point and line-based structure from motion
CVGIP: Image Understanding
Projective Reconstruction and Invariants from Multiple Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Trilinearity in visual recognition by alignment
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Matrix computations (3rd ed.)
Sequential Updating of Projective and Affine Structure from Motion
International Journal of Computer Vision
Algebraic Functions For Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
CAIP '95 Proceedings of the 6th International Conference on Computer Analysis of Images and Patterns
Reconstruction from image sequences by means of relative depths
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
In defence of the 8-point algorithm
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
On the geometry and algebra of the point and line correspondences between N images
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
The study of 3D-from-2D using elimination
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
On Degeneracy of Linear Reconstruction From Three Views: Linear Line Complex and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Problem of Degeneracy in Structure and Motion Recovery from Uncalibrated Image Sequences
International Journal of Computer Vision - 1998 Marr Prize
A Multi-Frame Structure-from-Motion Algorithm under Perspective Projection
International Journal of Computer Vision - Special issue on computer vision research at NEC Research Institute
A Linear Algorithm for Computing the Homography from Conics in Correspondence
Journal of Mathematical Imaging and Vision
The Geometry and Matching of Lines and Curves Over Multiple Views
International Journal of Computer Vision
Stereo Image Processing and Virtual Reality in an Intelligent Robot Control System
Journal of Intelligent and Robotic Systems
Match Propogation for Image-Based Modeling and Rendering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Tracking While Zooming Using Affine Transfer and Multifocal Tensors
International Journal of Computer Vision
Feature Transfer and Matching in Disparate Stereo Views through the Use of Plane Homographies
IEEE Transactions on Pattern Analysis and Machine Intelligence
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
A Minimal Set of Constraints for the Trivocal Tensor
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
On the Reprojection of 3D and 2D Scenes Without Explicit Model Selection
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
On the Structure and Properties of the Quadrifocal Tensor
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
On Calibration and Reconstruction from Planar Curves
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Bundle Adjustment - A Modern Synthesis
ICCV '99 Proceedings of the International Workshop on Vision Algorithms: Theory and Practice
Projective Reconstruction from N Views Having One View in Common
ICCV '99 Proceedings of the International Workshop on Vision Algorithms: Theory and Practice
Dualizing Scene Reconstruction Algorithms
SMILE'98 Proceedings of the European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
Tensor Embedding of the Fundamental Matrix
SMILE'98 Proceedings of the European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
Geometry of Multiple Affine Views
SMILE'98 Proceedings of the European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
On Computing Metric Upgrades of Projective Reconstructions Under the Rectangular Pixel Assumption
SMILE '00 Revised Papers from Second European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
Estimating Consistent Motion from Three Views: An Alternative to Trifocal Analysis
CAIP '99 Proceedings of the 8th International Conference on Computer Analysis of Images and Patterns
Revisiting Single-View Shape Tensors: Theory and Applications
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Architectural Scenes Reconstruction from Uncalibrated Photos and Map Based Model Knowledge
AI*IA 01 Proceedings of the 7th Congress of the Italian Association for Artificial Intelligence on Advances in Artificial Intelligence
Reconstruction based recognition of scenes with multiple repeated components
Computer Vision and Image Understanding
A New Linear Method for Euclidean Motion/Structure from Three Calibrated Affine Views
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
The 3D Line Motion Matrix and Alignment of Line Reconstructions
International Journal of Computer Vision
Efficient Rendering of Projective Model for Image-Based Visualization
ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 2 - Volume 2
Using Points at Infinity for Parameter Decoupling in Camera Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Incremental Model-Based Estimation Using Geometric Constraints
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recovering Multiple View Geometry from Mutual Projections of Multiple Cameras
International Journal of Computer Vision
Structure-from-motion using lines: representation, triangulation, and bundle adjustment
Computer Vision and Image Understanding
Canonical Representation and Multi-View Geometry of Cylinders
International Journal of Computer Vision
A matter of notation: Several uses of the Kronecker product in 3D computer vision
Pattern Recognition Letters
Structure-from-motion using lines: Representation, triangulation, and bundle adjustment
Computer Vision and Image Understanding
Continuous stereo self-calibration by camera parameter tracking
IEEE Transactions on Image Processing
Projective reconstruction of ellipses from multiple images
Pattern Recognition
Predicting corresponding region in a third view using discrete epipolar lines
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Algebraic error analysis of collinear feature points for camera parameter estimation
Computer Vision and Image Understanding
Egomotion Estimation Using Assorted Features
International Journal of Computer Vision
Relative bundle adjustment based on trifocal constraints
ECCV'10 Proceedings of the 11th European conference on Trends and Topics in Computer Vision - Volume Part II
A videogrammetric as-built data collection method for digital fabrication of sheet metal roof panels
Advanced Engineering Informatics
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This paper discusses the basic role of the trifocal tensor in scene reconstruction from three views. This 3\times 3\times 3 tensor plays a rolein the analysis of scenes from three views analogous to the roleplayed by the fundamental matrix in the two-view case. Inparticular, the trifocal tensor may be computed by a linear algorithmfrom a set of 13 line correspondences in three views. It is furthershown in this paper, that the trifocal tensor is essentiallyidentical to a set of coefficients introduced by Shashua to effectpoint transfer in the three view case. This observation means thatthe 13-line algorithm may be extended to allow for the computationof the trifocal tensor given any mixture of sufficiently many lineand point correspondences. From the trifocal tensor the cameramatrices of the images may be computed, and the scene may bereconstructed. For unrelated uncalibrated cameras, this reconstruction will be unique up to projectivity. Thus, projectivereconstruction of a set of lines and points may be carried out linearly fromthree views.