SIAM Journal on Numerical Analysis
Introduction to algorithms
Determining rank in the presence of error
Determining rank in the presence of error
Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
Computing occluding and transparent motions
International Journal of Computer Vision
Modeling and calibration of automated zoom lenses
Modeling and calibration of automated zoom lenses
A Paraperspective Factorization Method for Shape and Motion Recovery
A Paraperspective Factorization Method for Shape and Motion Recovery
Stereo-Motion with Stereo and Motion in Complement
IEEE Transactions on Pattern Analysis and Machine Intelligence
Hyperpatches for 3D Model Acquisition and Tracking
IEEE Transactions on Pattern Analysis and Machine Intelligence
Real-time 3D model acquisition
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
International Journal of Computer Vision - Special issue on statistical and computational theories of vision: Part II
International Journal of Computer Vision - Marr Prize Special Issue
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust Computer Vision through Kernel Density Estimation
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
General Trajectory Triangulation
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Evaluation and Selection of Models for Motion Segmentation
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
Multibody Structure and Motion: 3-D Reconstruction of Independently Moving Objects
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Geotensity Constraint for 3D Surface Reconstruction under Multiple Light Sources
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
On Computing Metric Upgrades of Projective Reconstructions Under the Rectangular Pixel Assumption
SMILE '00 Revised Papers from Second European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
Recovering Non-rigid 3D Shape Using a Plane+Parallax Approach
AMDO '02 Proceedings of the Second International Workshop on Articulated Motion and Deformable Objects
Multiple Motion Scene Reconstruction with Uncalibrated Cameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
Rank 1 Weighted Factorization for 3D Structure Recovery: Algorithms and Performance Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reconstruction of a Scene with Multiple Linearly Moving Objects
International Journal of Computer Vision
A General Framework for Trajectory Triangulation
Journal of Mathematical Imaging and Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multi-Scale 3D Scene Flow from Binocular Stereo Sequences
WACV-MOTION '05 Proceedings of the IEEE Workshop on Motion and Video Computing (WACV/MOTION'05) - Volume 2 - Volume 02
Generalized Principal Component Analysis (GPCA)
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Closed-Form Solution to Non-Rigid Shape and Motion Recovery
International Journal of Computer Vision
Wide Baseline Matching between Unsynchronized Video Sequences
International Journal of Computer Vision
ACM Computing Surveys (CSUR)
Weak-perspective structure from motion for strongly contaminated data
Pattern Recognition Letters
Hierarchical retargetting of 2D motion fields to the animation of 3D plant models
Proceedings of the 2006 ACM SIGGRAPH/Eurographics symposium on Computer animation
Structure and motion of nonrigid object under perspective projection
Pattern Recognition Letters
Towards 3-D scene reconstruction from broadcast video
Image Communication
Clustering and Embedding Using Commute Times
IEEE Transactions on Pattern Analysis and Machine Intelligence
Combining object and feature dynamics in probabilistic tracking
Computer Vision and Image Understanding
Rotation constrained power factorization for structure from motion of nonrigid objects
Pattern Recognition Letters
Multi-scale 3D scene flow from binocular stereo sequences
Computer Vision and Image Understanding
Motion segmentation using GPCA techniques and optical flow
EATIS '07 Proceedings of the 2007 Euro American conference on Telematics and information systems
Unwrap mosaics: a new representation for video editing
ACM SIGGRAPH 2008 papers
Multiframe Motion Segmentation with Missing Data Using PowerFactorization and GPCA
International Journal of Computer Vision
Motion Segmentation from Feature Trajectories with Missing Data
IbPRIA '07 Proceedings of the 3rd Iberian conference on Pattern Recognition and Image Analysis, Part I
Segmentation of Rigid Motion from Non-rigid 2D Trajectories
IbPRIA '07 Proceedings of the 3rd Iberian conference on Pattern Recognition and Image Analysis, Part I
Perspective Nonrigid Shape and Motion Recovery
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part I
Attention-from-motion: A factorization approach for detecting attention objects in motion
Computer Vision and Image Understanding
3D Target Scale Estimation and Target Feature Separation for Size Preserving Tracking in PTZ Video
International Journal of Computer Vision
An Iterative Multiresolution Scheme for SFM with Missing Data
Journal of Mathematical Imaging and Vision
Proceedings of the 2008 conference on Artificial Intelligence Research and Development: Proceedings of the 11th International Conference of the Catalan Association for Artificial Intelligence
An iterative multiresolution scheme for SFM with missing data: Single and multiple object scenes
Image and Vision Computing
Interactive segmentation for manipulation in unstructured environments
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
International Journal of Computer Vision
Learning Articulated Structure and Motion
International Journal of Computer Vision
Robust Algebraic Segmentation of Mixed Rigid-Body and Planar Motions from Two Views
International Journal of Computer Vision
International Journal of Computer Vision
Image correspondence from motion subspace constraint and epipolar constraint
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
Non-rigid metric reconstruction from perspective cameras
Image and Vision Computing
ICONIP'08 Proceedings of the 15th international conference on Advances in neuro-information processing - Volume Part I
Video segmentation based on motion coherence of particles in a video sequence
IEEE Transactions on Image Processing
Enhanced Local Subspace Affinity for feature-based motion segmentation
Pattern Recognition
Occlusion boundary detection using pseudo-depth
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
Minimum effective dimension for mixtures of subspaces: a robust GPCA algorithm and its applications
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Inference of multiple subspaces from high-dimensional data and application to multibody grouping
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Motion segmentation using the hadamard product and spectral clustering
WMVC'09 Proceedings of the 2009 international conference on Motion and video computing
Rank Estimation in Missing Data Matrix Problems
Journal of Mathematical Imaging and Vision
Generalized principal component analysis (GPCA)
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
3D object recognition based on canonical angles between shape subspaces
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part IV
Robust 3D segmentation of multiple moving objects under weak perspective
WDV'05/WDV'06/ICCV'05/ECCV'06 Proceedings of the 2005/2006 international conference on Dynamical vision
Articulated motion segmentation using RANSAC with priors
WDV'05/WDV'06/ICCV'05/ECCV'06 Proceedings of the 2005/2006 international conference on Dynamical vision
Mobile surveillance by 3D-outlier analysis
ACCV'10 Proceedings of the 2010 international conference on Computer vision - Volume Part I
Multi-body segmentation and motion number estimation via over-segmentation detection
ACCV'10 Proceedings of the 2010 international conference on Computer vision - Volume part II
Hierarchical spatio-temporal extraction of models for moving rigid parts
Pattern Recognition Letters
Graph embedding using commute time
SSPR'06/SPR'06 Proceedings of the 2006 joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
Robust multi-body motion tracking using commute time clustering
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
Recovering articulated non-rigid shapes, motions and kinematic chains from video
AMDO'06 Proceedings of the 4th international conference on Articulated Motion and Deformable Objects
Modelling nonrigid object from video sequence under perspective projection
ACII'05 Proceedings of the First international conference on Affective Computing and Intelligent Interaction
A fast tri-factorization method for low-rank matrix recovery and completion
Pattern Recognition
Hybrid Linear Modeling via Local Best-Fit Flats
International Journal of Computer Vision
Deformation weight constraint and 3D reconstruction of nonrigid objects
ICIAR'07 Proceedings of the 4th international conference on Image Analysis and Recognition
Simultaneous compaction and factorization of sparse image motion matrices
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part VI
Robust and efficient subspace segmentation via least squares regression
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part VII
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
Motion segmentation by velocity clustering with estimation of subspace dimension
ACCV'12 Proceedings of the 11th international conference on Computer Vision - Volume 2
Editor's Choice Article: Motion-based segmentation of objects using overlapping temporal windows
Image and Vision Computing
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The structure-from-motion problem has been extensively studied inthe field of computer vision. Yet, the bulk of the existing workassumes that the scene contains only a single moving object. The morerealistic case where an unknown number of objects move in the scenehas received little attention, especially for its theoreticaltreatment. In this paper we present a new method for separating andrecovering the motion and shape of multiple independently movingobjects in a sequence of images. The method does not require priorknowledge of the number of objects, nor is dependent on any groupingof features into an object at the image level. For this purpose, weintroduce a mathematical construct of object shapes, called the shapeinteraction matrix, which is invariant to both the object motions andthe selection of coordinate systems. This invariant structure iscomputable solely from the observed trajectories of image featureswithout grouping them into individual objects. Once the matrix iscomputed, it allows for segmenting features into objects by theprocess of transforming it into a canonical form, as well asrecovering the shape and motion of each object. The theoryworks under a broad set of projection models (scaled orthography,paraperspective and affine) but they must be linear, so itexcludes projective “cameras”.