Inherent Ambiguities in Recovering 3-D Motion and Structure from a Noisy Flow Field
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
Recognizing solid objects by alignment with an image
International Journal of Computer Vision
Recognition by Linear Combinations of Models
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part I
Invariant linear methods in photogrammetry and model-matching
Geometric invariance in computer vision
Appendix—projective geometry for machine vision
Geometric invariance in computer vision
Model-based invariants for 3-D vision
International Journal of Computer Vision
Trilinearity in visual recognition by alignment
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Projective Structure from Uncalibrated Images: Structure From Motion and 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
The Quadric Reference Surface: Applications in Registering Views of Complex 3D Objects
ECCV '94 Proceedings of the Third European Conference-Volume II on Computer Vision - Volume II
On Geomatric and Algebraic Aspects of 3D Affine and Projective Structures from Perspective 2D Views
Proceedings of the Second Joint European - US Workshop on Applications of Invariance in Computer Vision
An Approach to Object Recognition: Aligning Pictorial Descriptions
An Approach to Object Recognition: Aligning Pictorial Descriptions
Correspondence and Affine Shape from Two Orthographic Views: Motion and Recognition
Correspondence and Affine Shape from Two Orthographic Views: Motion and Recognition
Why Stereo Vision is Not Always About 3D Reconstruction
Why Stereo Vision is Not Always About 3D Reconstruction
Geometry and Photometry in 3D Visual Recognition
Geometry and Photometry in 3D Visual Recognition
Canonic representations for the geometries of project views
Canonic representations for the geometries of project views
Relative Affine Structure: Canonical Model for 3D From 2D Geometry and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Photometric Issues in 3D Visual Recognition from aSingle 2D Image
International Journal of Computer Vision
Lines and Points in Three Views and the Trifocal Tensor
International Journal of Computer Vision
Image-based view synthesis by combining trilinear tensors and learning techniques
VRST '97 Proceedings of the ACM symposium on Virtual reality software and technology
Affine Structure from Line Correspondences With Uncalibrated Affine Cameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
Dual Computation of Projective Shape and Camera Positions from Multiple Images
International Journal of Computer Vision
On Degeneracy of Linear Reconstruction From Three Views: Linear Line Complex and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reduced Multilinear Constraints: Theory and Experiments
International Journal of Computer Vision
Structure Recovery with Multiple Cameras from Scaled Orthographic and Perspective Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Solutions and Ambiguities of the Structure and Motion Problem for 1DRetinal Vision
Journal of Mathematical Imaging and Vision
Model-Based Brightness Constraints: On Direct Estimation of Structure and Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Independent Motion Detection in 3D Scenes
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Linear Algorithm for Computing the Homography from Conics in Correspondence
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
Threading Fundamental Matrices
IEEE Transactions on Pattern Analysis and Machine Intelligence
Polyhedral Object Localization in an Image by Referencing to a Single Model View
International Journal of Computer Vision
Tracking While Zooming Using Affine Transfer and Multifocal Tensors
International Journal of Computer Vision
Novel View Synthesis by Cascading Trilinear Tensors
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Pattern Analysis and Machine Intelligence
Balanced Recovery of 3D Structure and Camera Motion from Uncalibrated Image Sequences
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
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
Predicting Disparity Windows for Real-Time Stereo
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
On Calibration and Reconstruction from Planar Curves
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
On Weighting and Choosing Constraints for Optimally Reconstructing the Geometry of Image Triplets
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part II
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
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
Shape tensors for efficient and learnable indexing
VSR '95 Proceedings of the IEEE Workshop on Representation of Visual Scenes
About the correspondences of points between N image
VSR '95 Proceedings of the IEEE Workshop on Representation of Visual Scenes
Duality of reconstruction and positioning from projective views
VSR '95 Proceedings of the IEEE Workshop on Representation of Visual Scenes
Incremental Model-Based Estimation Using Geometric Constraints
IEEE Transactions on Pattern Analysis and Machine Intelligence
Some Results on Minimal Euclidean Reconstruction from Four Points
Journal of Mathematical Imaging and Vision
Canonical Representation and Multi-View Geometry of Cylinders
International Journal of Computer Vision
Homography-based partitioning of curved surface for stereo correspondence establishment
Pattern Recognition Letters
Continuous stereo self-calibration by camera parameter tracking
IEEE Transactions on Image Processing
Lines as the fundamental unit of vision
Proceedings of the 11th international conference on Theoretical foundations of computer vision
Point matching constraints in two and three views
Proceedings of the 29th DAGM conference on Pattern recognition
Single-view matching constraints
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part II
View synthesis using stereo vision
View synthesis using stereo vision
A robust mosaicing method with super-resolution for optical medical images
MIAR'10 Proceedings of the 5th international conference on Medical imaging and augmented reality
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
The Key to Three-View Geometry
International Journal of Computer Vision
Tracking camera parameters of an active stereo rig
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
Trifocal transfer based novel view synthesis for micromanipulation
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
Video stabilization using epipolar geometry
ACM Transactions on Graphics (TOG)
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In the general case, a trilinear relationship between three perspective views is shown to exist. The trilinearity result is shown to be of much practical use in visual recognition by alignment驴yielding a direct reprojection method that cuts through the computations of camera transformation, scene structure and epipolar geometry. Moreover, the direct method is linear and sets a new lower theoretical bound on the minimal number of points that are required for a linear solution for the task of reprojection. The proof of the central result may be of further interest as it demonstrates certain regularities across homographies of the plane and introduces new view invariants. Experiments on simulated and real image data were conducted, including a comparative analysis with epipolar intersection and the linear combination methods, with results indicating a greater degree of robustness in practice and a higher level of performance in reprojection tasks.