A convenient multicamera self-calibration for virtual environments
Presence: Teleoperators and Virtual Environments
Dense 3D reconstruction from images by normal aided matching
Machine Graphics & Vision International Journal
Multi-view correspondence by enforcement of rigidity constraints
Image and Vision Computing
Implicit Non-Rigid Structure-from-Motion with Priors
Journal of Mathematical Imaging and Vision
Optimization Algorithms on Subspaces: Revisiting Missing Data Problem in Low-Rank Matrix
International Journal of Computer Vision
A General Algorithm to Recover External Camera Parameters from Pairwise Camera Calibrations
ICIAR '08 Proceedings of the 5th international conference on Image Analysis and Recognition
Estimating 3D shape from degenerate sequences with missing data
Computer Vision and Image Understanding
An Iterative Multiresolution Scheme for SFM with Missing Data
Journal of Mathematical Imaging and Vision
An iterative multiresolution scheme for SFM with missing data: Single and multiple object scenes
Image and Vision Computing
Fast and precise weak-perspective factorization
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Exploiting loops in the graph of trifocal tensors for calibrating a network of cameras
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Element-wise factorization for N-View projective reconstruction
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
A domain reduction algorithm for incremental projective reconstruction
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
3D geometry from uncalibrated images
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
Optimal multi-frame correspondence with assignment tensors
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
On Camera Calibration with Linear Programming and Loop Constraint Linearization
International Journal of Computer Vision
Recovering depth map from video with moving objects
PSIVT'11 Proceedings of the 5th Pacific Rim conference on Advances in Image and Video Technology - Volume Part II
3D scene modeling for activity detection
ER'05 Proceedings of the 24th international conference on Perspectives in Conceptual Modeling
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A technique for building consistent 3D reconstructions from many views based on fitting a low rank matrix to a matrix with missing data is presented. Rank-four submatrices of minimal, or slightly larger, size are sampled and spans of their columns are combined to constrain a basis of the fitted matrix. The error minimized is expressed in terms of the original subspaces which leads to a better resistance to noise compared to previous methods. More than 90% of the missing data can be handled while finding an acceptable solution efficiently. Applications to 3D reconstruction using both affine and perspective camera models are shown. For the perspective model, a new linear method based on logarithms of positive depths from cheirality is introduced to make the depths consistent with an overdetermined set of epipolar geometries. Results are shown for scenes and sequences of various types. Many images in open and closed sequences in narrow and wide base-line setups are reconstructed with reprojection errors around one pixel. It is shown that reconstructed cameras can be used to obtain dense reconstructions from epipolarly aligned images.