In Defense of the Eight-Point Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer Vision and Image Understanding
Cramer-Rao lower bounds for curve fitting
Graphical Models and Image Processing
Heteroscedastic Regression in Computer Vision: Problems with Bilinear Constraint
International Journal of Computer Vision - Special issue on a special section on visual surveillance
On the Fitting of Surfaces to Data with Covariances
IEEE Transactions on Pattern Analysis and Machine Intelligence
Orthogonal Distance Fitting of Implicit Curves and Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Statistical Optimization for Geometric Computation: Theory and Practice
Statistical Optimization for Geometric Computation: Theory and Practice
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
Bundle Adjustment - A Modern Synthesis
ICCV '99 Proceedings of the International Workshop on Vision Algorithms: Theory and Practice
Multiple View Geometry in Computer Vision
Multiple View Geometry in Computer Vision
Journal of Computational and Applied Mathematics
Nonlinear Estimation of the Fundamental Matrix with Minimal Parameters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Convex Optimization
Statistical efficiency and complexity of curve fitting algorithms
Statistical efficiency and complexity of curve fitting algorithms
Estimation of Nonlinear Errors-in-Variables Models for Computer Vision Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
High Accuracy Fundamental Matrix Computation and Its Performance Evaluation
IEICE - Transactions on Information and Systems
Performance evaluation of iterative geometric fitting algorithms
Computational Statistics & Data Analysis
International Journal of Computer Vision
Optimal algorithms in multiview geometry
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I
Conic fitting using the geometric distance
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
Hyper least squares fitting of circles and ellipses
Computational Statistics & Data Analysis
Optimal two-view planar scene triangulation
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part II
Hypersurface fitting via jacobian nonlinear PCA on riemannian space
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Renormalization returns: hyper-renormalization and its applications
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part III
Robust hypersurface fitting based on random sampling approximations
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part III
Optimization techniques for geometric estimation: beyond minimization
SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
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A new numerical scheme is presented for computing strict maximum likelihood (ML) of geometric fitting problems having an implicit constraint. Our approach is orthogonal projection of observations onto a parameterized surface defined by the constraint. Assuming a linearly separable nonlinear constraint, we show that a theoretically global solution can be obtained by iterative Sampson error minimization. Our approach is illustrated by ellipse fitting and fundamental matrix computation. Our method also encompasses optimal correction, computing, e.g., perpendiculars to an ellipse and triangulating stereo images. A detailed discussion is given to technical and practical issues about our approach.