Robust regression and outlier detection
Robust regression and outlier detection
Geometric invariance in computer vision
Geometric invariance in computer vision
An introduction to Kolmogorov complexity and its applications (2nd ed.)
An introduction to Kolmogorov complexity and its applications (2nd ed.)
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
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
Structure-from-Motion under Orthographic Projection
ECCV '90 Proceedings of the First European Conference on Computer Vision
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
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
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
Stabilizing Image Mosaicing by Model Selection
SMILE '00 Revised Papers from Second European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
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Computer vision often involves the estimation of models of the world from visual input. Sometimes it is possible to fit several different models or hypotheses to a set of data, the choice of exactly which model is usually left to the vision practitioner. This paper explores ways of automating the model selection process, with specific emphasis on the least squares problem, and the handling of implicit or nuisance parameters (which in this case equate to 3D structure). The statistical literature is reviewed and it will become apparent that although no one method has yet been developed that will be generally useful for all computer vision problems, there do exist some useful partial solutions. This paper is intended as a pragmatic beginner's guide to model selection, highlighting the pertinent problems and illustrating them using two view geometry determination.