Unwrap mosaics: a new representation for video editing
ACM SIGGRAPH 2008 papers
Implicit Non-Rigid Structure-from-Motion with Priors
Journal of Mathematical Imaging and Vision
Content-preserving warps for 3D video stabilization
ACM SIGGRAPH 2009 papers
A Convex Approach to Low Rank Matrix Approximation with Missing Data
SCIA '09 Proceedings of the 16th Scandinavian Conference on Image Analysis
Non-rigid Reconstruction of the Beating Heart Surface for Minimally Invasive Cardiac Surgery
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
International Journal of Computer Vision
Monocular 3-D tracking of inextensible deformable surfaces under L2-norm
IEEE Transactions on Image Processing
Convex optimization for nonrigid stereo reconstruction
IEEE Transactions on Image Processing
Learning a generic 3D face model from 2D image databases using incremental Structure-from-Motion
Image and Vision Computing
Non-rigid metric reconstruction from perspective cameras
Image and Vision Computing
Quasi-perspective structure factorization with missing data
CAR'10 Proceedings of the 2nd international Asia conference on Informatics in control, automation and robotics - Volume 2
Nonrigid stereo reconstruction using linear programming
Proceedings of the 1st international workshop on 3D video processing
Sequential non-rigid structure-from-motion with the 3D-implicit low-rank shape model
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Bilinear factorization via augmented lagrange multipliers
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
Piecewise quadratic reconstruction of non-rigid surfaces from monocular sequences
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
Adaptive metric registration of 3D models to non-rigid image trajectories
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
5D motion subspaces for planar motions
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
3D reconstruction of a moving point from a series of 2D projections
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Inferring 3D shapes and deformations from single views
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Deterministic 3D human pose estimation using rigid structure
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Deformable Model Fitting by Regularized Landmark Mean-Shift
International Journal of Computer Vision
Single and sparse view 3D reconstruction by learning shape priors
Computer Vision and Image Understanding
Reconstruction of non-rigid 3D shapes from stereo-motion
Pattern Recognition Letters
Monocular template-based reconstruction of smooth and inextensible surfaces
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part III
Dense multi-frame optic flow for non-rigid objects using subspace constraints
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part IV
Regression based automatic face annotation for deformable model building
Pattern Recognition
A fast approach to deformable surface 3D tracking
Pattern Recognition
Automatic estimation of the number of deformation modes in non-rigid SfM with missing data
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
Robust trajectory-space TV-L1 optical flow for non-rigid sequences
EMMCVPR'11 Proceedings of the 8th international conference on Energy minimization methods in computer vision and pattern recognition
Monocular Template-based Reconstruction of Inextensible Surfaces
International Journal of Computer Vision
Optimal Metric Projections for Deformable and Articulated Structure-from-Motion
International Journal of Computer Vision
Monocular template-based tracking of inextensible deformable surfaces under L2-norm
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part II
Low-rank matrix decomposition in L1-norm by dynamic systems
Image and Vision Computing
3D reconstruction of dynamic scenes with multiple handheld cameras
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part II
Soft inextensibility constraints for template-free non-rigid reconstruction
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part III
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part VI
A unified view on deformable shape factorizations
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part VI
3D reconstruction of non-rigid surfaces in real-time using wedge elements
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part I
Beyond feature points: structured prediction for monocular non-rigid 3d reconstruction
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part IV
Learning spatially-smooth mappings in non-rigid structure from motion
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part IV
Application of heterogenous motion models towards structure recovery from motion
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part I
Non-rigid self-calibration of a projective camera
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV
Adaptive Non-rigid Registration and Structure from Motion from Image Trajectories
International Journal of Computer Vision
Recursive non-rigid structure from motion with online learned shape prior
Computer Vision and Image Understanding
EM-GPA: Generalized Procrustes analysis with hidden variables for 3D shape modeling
Computer Vision and Image Understanding
Nearest neighbor weighted average customization for modeling faces
Machine Vision and Applications
Decomposition and dictionary learning for 3D trajectories
Signal Processing
Forward non-rigid motion tracking for facial MoCap
The Visual Computer: International Journal of Computer Graphics
A Simple Prior-Free Method for Non-rigid Structure-from-Motion Factorization
International Journal of Computer Vision
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This paper describes methods for recovering time-varying shape and motion of non-rigid 3D objects from uncalibrated 2D point tracks. For example, given a video recording of a talking person, we would like to estimate the 3D shape of the face at each instant, and learn a model of facial deformation. Time-varying shape is modeled as a rigid transformation combined with a non-rigid deformation. Reconstruction is ill-posed if arbitrary deformations are allowed, and thus additional assumptions about deformations are required. We first suggest restricting shapes to lie within a low-dimensional subspace, and describe estimation algorithms. However, this restriction alone is insufficient to constrain reconstruction. To address these problems, we propose a reconstruction method using a Probabilistic Principal Components Analysis (PPCA) shape model, and an estimation algorithm that simultaneously estimates 3D shape and motion for each instant, learns the PPCA model parameters, and robustly fills-in missing data points. We then extend the model to model temporal dynamics in object shape, allowing the algorithm to robustly handle severe cases of missing data.