Robust estimation of three-dimensional motion parameters from a sequence of imag
IEEE Transactions on Pattern Analysis and Machine Intelligence
Closed form solutions to image flow equations for planar surfaces in motion
Computer Vision, Graphics, and Image Processing
Structure and motion from optical flow under perspective projection
Computer Vision, Graphics, and Image Processing
Motion from point matches: multiple of solutions
International Journal of Computer Vision
Multiple Interpretations of the Shape and Motion of Objects from Two Perspective Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
Robust regression methods for computer vision: a review
International Journal of Computer Vision
Subspace methods for recovering rigid motion I: algorithm and implementation
International Journal of Computer Vision
Statistical Analysis of Inherent Ambiguities in Recovering 3-D Motion from a Noisy Flow Field
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric computation for machine vision
Geometric computation for machine vision
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
3-D interpretation of optical flow by renormalization
International Journal of Computer Vision
Performance of optical flow techniques
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computation and analysis of image motion: a synopsis of current problems and methods
International Journal of Computer Vision
Comments on "Symmetry as a Continuous Feature"
IEEE Transactions on Pattern Analysis and Machine Intelligence
Comments on "Nonparametric Segmentation of Curves Into Various Representations"
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Active Perception
Theory of Reconstruction from Image Motion
Theory of Reconstruction from Image Motion
Motion and Structure from Image Sequences
Motion and Structure from Image Sequences
Optimal Motion and Structure Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Analysis of 3-D Rotation Fitting
IEEE Transactions on Pattern Analysis and Machine Intelligence
MINPRAN: A New Robust Estimator for Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonparametric Segmentation of Curves into Various Representations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Symmetry as a Continuous Feature
IEEE Transactions on Pattern Analysis and Machine Intelligence
Automatic Singularity Test for Motion Analysis by an Information Criterion
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
An Affine Invariant Interest Point Detector
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part II
Uncertainty Modeling for Optimal Structure from Motion
ICCV '99 Proceedings of the International Workshop on Vision Algorithms: Theory and Practice
Stabilizing Image Mosaicing by Model Selection
SMILE '00 Revised Papers from Second European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
Scale & Affine Invariant Interest Point Detectors
International Journal of Computer Vision
Uncertainty Modeling and Model Selection for Geometric Inference
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Maximizing the Predictivity of Smooth Deformable Image Warps through Cross-Validation
Journal of Mathematical Imaging and Vision
Estimating 3D shape from degenerate sequences with missing data
Computer Vision and Image Understanding
Robust Factorization Methods Using a Gaussian/Uniform Mixture Model
International Journal of Computer Vision
Composition of a dewarped and enhanced document image from two view images
IEEE Transactions on Image Processing
Error-bounds on curvature estimation
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Automatic feature point correspondences and shape analysis with missing data and outliers using MDL
SCIA'07 Proceedings of the 15th Scandinavian conference on Image analysis
Video mosaicing based on structure from motion for distortion-free document digitization
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
Maximal cliques based rigid body motion segmentation with a RGB-D camera
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part II
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In building a 3-D model of the environment from image and sensordata, one must fit to the data an appropriate class of models, which can beregarded as a parametrized manifold, or geometric model,defined in the data space. In this paper, we present a statistical frameworkfor detecting degeneracies of a geometric model byevaluating its predictive capability in terms of the expectedresidual and derive the geometric AIC. We showthat it allows us to detect singularities in a structure-from-motionanalysis without introducing any empirically adjustable thresholds. Weillustrate our approach by simulation examples. We also discuss theapplication potential of this theory for a wide range of computer vision androbotics problems.