Uncertainty Modeling and Model Selection for Geometric Inference

Authors:
Kenichi Kanatani
Affiliations:
IEEE
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
2004

Citing 18
Cited 18

Context-free attentional operators: the generalized symmetry transform

International Journal of Computer Vision - Special issue on qualitative vision
MDL-Based Segmentation and Motion Modeling in a Long Image Sequence of Scene with Multiple Independently Moving Objects

IEEE Transactions on Pattern Analysis and Machine Intelligence
SUSAN—A New Approach to Low Level Image Processing

International Journal of Computer Vision
Performance Assessment Through Bootstrap

IEEE Transactions on Pattern Analysis and Machine Intelligence
Image segmentation from consensus information

Computer Vision and Image Understanding
Geometric Information Criterion for Model Selection

International Journal of Computer Vision
Evaluation of Interest Point Detectors

International Journal of Computer Vision - Special issue on a special section on visual surveillance
Model selection techniques and merging rules for range data segmentation algorithms

Computer Vision and Image Understanding
Multiple view geometry in computer visiond

Multiple view geometry in computer visiond
Statistical Optimization for Geometric Computation: Theory and Practice

Statistical Optimization for Geometric Computation: Theory and Practice
Stochastic Complexity in Statistical Inquiry Theory

Stochastic Complexity in Statistical Inquiry Theory
Bayesian Model Estimation and Selection for Epipolar Geometry and Generic Manifold Fitting

International Journal of Computer Vision
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
Evaluation and Selection of Models for Motion Segmentation

ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
Stabilizing Image Mosaicing by Model Selection

SMILE '00 Revised Papers from Second European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
An Assessment of Information Criteria for Motion Model Selection

CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Maintaining Multiple Motion Model Hypotheses Over Many Views to Recover Matching and Structure

ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Fisher information and stochastic complexity

IEEE Transactions on Information Theory

Stabilizing the Focal Length Computation for 3-D Reconstruction from Two Uncalibrated Views

International Journal of Computer Vision
Two-View Multibody Structure-and-Motion with Outliers through Model Selection

IEEE Transactions on Pattern Analysis and Machine Intelligence
Parametric model-based motion segmentation using surface selection criterion

Computer Vision and Image Understanding
On the Convergence of Fitting Algorithms in Computer Vision

Journal of Mathematical Imaging and Vision
Towards a measure of deformability of shape sequences

Pattern Recognition Letters
A Model-Selection Framework for Multibody Structure-and-Motion of Image Sequences

International Journal of Computer Vision
Statistical Optimization for Geometric Fitting: Theoretical Accuracy Bound and High Order Error Analysis

International Journal of Computer Vision
A comparative study of model selection criteria for computer vision applications

Image and Vision Computing
Robust Factorization Methods Using a Gaussian/Uniform Mixture Model

International Journal of Computer Vision
Error Analysis in Homography Estimation by First Order Approximation Tools: A General Technique

Journal of Mathematical Imaging and Vision
Computing regions of interest for geometric features in digital images

Discrete Applied Mathematics
Parametric model-based motion segmentation using surface selection criterion

Computer Vision and Image Understanding
Transformation polytopes for line correspondences in digital images

IWCIA'08 Proceedings of the 12th international conference on Combinatorial image analysis
Recognition tasks are imitation games

ICAPR'05 Proceedings of the Third international conference on Advances in Pattern Recognition - Volume Part I
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
Uncertainty-Driven non-parametric knowledge-based segmentation: the corpus callosum case

VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Detecting critical configurations for dividing long image sequences for factorization-based 3-d scene reconstruction

ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part II
Computing internally constrained motion of 3-D sensor data for motion interpretation

Pattern Recognition

Quantified Score

Hi-index	0.14

Visualization

Abstract

We first investigate the meaning of "statistical methods驴 for geometric inference based on image feature points. Tracing back the origin of feature uncertainty to image processing operations, we discuss the implications of asymptotic analysis in reference to "geometric fitting驴 and "geometric model selection驴 and point out that a correspondence exists between the standard statistical analysis and the geometric inference problem. Then, we derive the "geometric AIC驴 and the "geometric MDL驴 as counterparts of Akaike's AIC and Rissanen's MDL. We show by experiments that the two criteria have contrasting characteristics in detecting degeneracy.