Visual reconstruction
Structure-from-motion under orthographic projection
ECCV 90 Proceedings of the first european conference on Computer vision
Hands: a pattern theoretic study of biological shapes
Hands: a pattern theoretic study of biological shapes
Bayesian modeling of uncertainty in low-level vision
International Journal of Computer Vision
Neural Computation
Geometric invariance in computer vision
Geometric invariance in computer vision
An introduction to Kolmogorov complexity and its applications
An introduction to Kolmogorov complexity and its applications
Geometric computation for machine vision
Geometric computation for machine vision
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
A theory of the motion fields of curves
International Journal of Computer Vision
The nature of statistical learning theory
The nature of statistical learning theory
Bias in Robust Estimation Caused by Discontinuities and Multiple Structures
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Development and Comparison of Robust Methodsfor Estimating the Fundamental Matrix
International Journal of Computer Vision
Characterizing the uncertainty of the fundamental matrix
Computer Vision and Image Understanding
Determining the Epipolar Geometry and its Uncertainty: A Review
International Journal of Computer Vision
Robust detection of degenerate configurations while estimating the fundamental matrix
Computer Vision and Image Understanding
The Problem of Degeneracy in Structure and Motion Recovery from Uncalibrated Image Sequences
International Journal of Computer Vision - 1998 Marr Prize
MLESAC: a new robust estimator with application to estimating image geometry
Computer Vision and Image Understanding - Special issue on robusst statistical techniques in image understanding
Multiple view geometry in computer vision
Multiple view geometry in computer vision
A Bayesian Method for Fitting Parametric and Nonparametric Models to Noisy Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Statistical Optimization for Geometric Computation: Theory and Practice
Statistical Optimization for Geometric Computation: Theory and Practice
Neural Networks for Pattern Recognition
Neural Networks for Pattern Recognition
Pattern Recognition and Neural Networks
Pattern Recognition and Neural Networks
Statistical Bias of Conic Fitting and Renormalization
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
What can be seen in three dimensions with an uncalibrated stereo rig
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Contour Tracking by Stochastic Propagation of Conditional Density
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
From Reference Frames to Reference Planes: Multi-View Parallax Geometry and Applications
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
3D Model Acquisition from Extended Image Sequences
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
Concerning Bayesian Motion Segmentation, Model, Averaging, Matching and the Trifocal Tensor
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Smoothness in Layers: Motion segmentation using nonparametric mixture estimation.
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Matching constraints and the joint image
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Maintaining Multiple Motion Model Hypotheses Over Many Views to Recover Matching and Structure
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Robust Computation and Parametrization of Multiple View Relations
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
IMPSAC: Synthesis of Importance Sampling and Random Sample Consensus
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariant Fitting of Two View Geometry
IEEE Transactions on Pattern Analysis and Machine Intelligence
Uncertainty Modeling and Model Selection for Geometric Inference
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Motion Recovery by Integrating over the Joint Image Manifold
International Journal of Computer Vision
Two-View Multibody Structure-and-Motion with Outliers through Model Selection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
Automatic Panoramic Image Stitching using Invariant Features
International Journal of Computer Vision
Epipolar geometry estimation based on evolutionary agents
Pattern Recognition
Switching visual control based on epipoles for mobile robots
Robotics and Autonomous Systems
Maximizing the Predictivity of Smooth Deformable Image Warps through Cross-Validation
Journal of Mathematical Imaging and Vision
Implicit Non-Rigid Structure-from-Motion with Priors
Journal of Mathematical Imaging and Vision
A Probabilistic Method for Point Matching in the Presence of Noise and Degeneracy
Journal of Mathematical Imaging and Vision
Video synchronization and its application to object transfer
Image and Vision Computing
On Using Projective Relations for Calibration and Estimation in a Structured-Light Scanner
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
Lung nodule detection via Bayesian voxel labeling
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
Multiple homographies with omnidirectional vision for robot homing
Robotics and Autonomous Systems
Field Testing of an Integrated Surface/Subsurface Modeling Technique for Planetary Exploration
International Journal of Robotics Research
Note: Bayesian discounting of camera parameter uncertainty for optimal 3D reconstruction from images
Computer Vision and Image Understanding
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part II
A trip to Rome: physical replicas of historical objects created in a fully automated way from photos
HCITOCH'10 Proceedings of the First international conference on Human-computer interaction, tourism and cultural heritage
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
A batch algorithm for implicit non-rigid shape and motion recovery
WDV'05/WDV'06/ICCV'05/ECCV'06 Proceedings of the 2005/2006 international conference on Dynamical vision
Using grid based feature localization for fast image matching
ICIAR'11 Proceedings of the 8th international conference on Image analysis and recognition - Volume Part I
Relative pose estimation for planetary entry descent landing
ACCV'10 Proceedings of the 2010 international conference on Computer vision - Volume part II
Automated vision tracking of project related entities
Advanced Engineering Informatics
Automated computation of the fundamental matrix for vision based construction site applications
Advanced Engineering Informatics
Determining an initial image pair for fixing the scale of a 3d reconstruction from an image sequence
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
Volume estimation from uncalibrated views applied to wound measurement
ICIAP'05 Proceedings of the 13th international conference on Image Analysis and Processing
Bifocal matching using multiple geometrical solutions
PSIVT'11 Proceedings of the 5th Pacific Rim conference on Advances in Image and Video Technology - Volume Part II
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Computer vision often involves estimating models from visual input. Sometimes it is possible to fit several different models or hypotheses to a set of data, and a decision must be made as to which is most appropriate. This paper explores ways of automating the model selection process with specific emphasis on the least squares problem of fitting manifolds (in particular algebraic varieties e.g. lines, algebraic curves, planes etc.) to data points, illustrated with respect to epipolar geometry. The approach is Bayesian and the contribution three fold, first a new Bayesian description of the problem is laid out that supersedes the author's previous maximum likelihood formulations, this formulation will reveal some hidden elements of the problem. Second an algorithm, ‘MAPSAC’, is provided to obtain the robust MAP estimate of an arbitrary manifold. Third, a Bayesian model selection paradigm is proposed, the Bayesian formulation of the manifold fitting problem uncovers an elegant solution to this problem, for which a new method ‘GRIC’ for approximating the posterior probability of each putative model is derived. This approximations bears some similarity to the penalized likelihoods used by AIC, BIC and MDL however it is far more accurate in situations involving large numbers of latent variables whose number increases with the data. This will be empirically and theoretically demonstrated.