GPCA Related Publications:
Theory, Applications, & Extensions

(c) Copyright Notice: The copyright of the following publications is held by their respective authors and/or publishers, and the hyperlinks of the PDF files are also provided and maintained by their respective authors. If you want your papers to be cited, please forward us the links to your papers.

 

Books about GPCA

Rene Vidal, Yi Ma, and Shankar Sastry. Generalized Principal Component Analysis: Estimation and Segmentation of Hybrid Models, expected 2006. Here is a preliminary Table of Content, and a draft is available upon request.
   

Theory & Algorithms

Rene Vidal, Yi Ma, and Shankar Sastry. Generalized principal component analysis (GPCA). CVPR 2003. [PDF]
Rene Vidal and Yi Ma. Clustering subspaces by fitting, differentiating and dividing polynomials. CVPR 2004. [PDF]
Kun Huang, Yi Ma, and Rene Vidal. Minimum effective dimension for mixtures of subspaces: a robust GPCA algorithm and its applications. CVPR 2004. [PDF]
Rene Vidal, Yi Ma, and Shankar Sastry. Generalized principal component analysis (GPCA). IEEE Transactions on PAMI. Vol. 27, No. 12, 2005. pp. 1945-1959. [PDF]
Allen Y. Yang, Shankar Rao, Andrew Wagner, Yi Ma, and Robert M. Fossum. Hilbert functions and applications to the estimation of subspace arrangements. ICCV 2005. [PDF]
Harm Derksen. Hilbert series of subspace arrangements. 2005 (preprint).
Allen Y. Yang, Shankar R. Rao, and Yi Ma. Robust statistical estimation and segmentation of multiple subspaces. CVPR workshop on 25 years of RANSAC, 2006. [PDF]
Yi Ma, Allen Y. Yang, Harm Derksen, and Robert Fossum. Estimation of subspace arrangements with applications in modeling and segmenting mixed data. 2006 (preprint).
   

Image Representation & Segmentation
Kun Huang, Allen Y. Yang, and Yi Ma. Sparse representation of images with hybrid linear models. ICIP 2004. [PDF]
Wei Hong, John Wright, Kun Huang, and Yi Ma. A multi-scale hybrid linear model for lossy image representation. ICCV 2005. [PDF]
   

Segmentation of Multiple Motions in Images
Rene Vidal, Stefano Soatto, Yi Ma, and Shankar Sastry. Segmentation of dynamic scenes from the multibody fundamental matrix. ECCV Workshop on Vision and Modeling of Dynamic Scenes, 2002. [PDF]
Rene Vidal and Shankar Sastry. Optimal segmentation of dynamic scenes from two perspective views. CVPR 2003. [PDF]
Rene Vidal and Yi Ma. A unified algebraic approach to 2-D and 3-D motion segmentation. ECCV 2004. [PDF]
Rene Vidal and Richard Hartley. Motion segmentation with missing data using PowerFactorization and GPCA. CVPR 2004. [PDF]
Richard Hartley and Rene Vidal. The Multibody Trifocal Tensor: Motion Segmentation from 3 Perspective Views. CVPR 2004. [PDF]
Rene Vidal, Yi Ma, Stefano Soatto, and Shankar Sastry. Two-view multibody structure from motion. IJCV 2005. [PDF]
Rene Vidal and Dheeraj Singaraju. A closed form solution to direct motion segmentation. CVPR 2005. [PDF]
Fanhuai Shi, Jianhua Wang, Jing Zhang, and Yuncai Liu. Motion Segmentation of Multiple Translating Objects Using Line Correspondences. CVPR 2005.
Jingyu Yan, and Marc Pollefeys. A Factorization-based Approach to Articulated Motion Recovery. CVPR 2005.
   

Segmentation of Video Sequence

Kun Huang, Andrew Wagner, and Yi Ma. Identification of Hybrid Linear Time-Invariant Systems via Subspace Embedding and Segmentation . CDC, 2004. [PDF]
   

Segmentation of Dynamic Textures

Rene Vidal and Shankar Sastry. Segmentation of dynamic scenes from image intensities. IEEE Workshop on Vision and Motion Computing, 2002. [PDF]
Rene Vidal and Avinash Ravichandran. Optical flow estimation & segmentation of multiple moving dynamic textures. CVPR 2005. [PDF]
   

Identification of Hybrid Linear Systems

Rene Vidal, Stefano Soatto, Yi Ma, and Shankar Sastry. An algebraic geometric approach to the identification of a class of linear hybrid systems. CDC 2003. [PDF]
Rene Vidal and Brian D.O. Anderson. Recursive identification of switched ARX hybrid models: exponential convergence and persistence of excitation. CDC 2004. [PDF]
Kun Huang, Andrew Wagner, and Yi Ma. Identification of Hybrid Linear Time-Invariant Systems via Subspace Embedding and Segmentation . CDC, 2004. [PDF]
Yi Ma and Rene Vidal. Identification of deterministic switched ARX systems via identification of algebraic varieties. Hybrid Systems Computation and Control, 2005. [PDF]
Yasmin Hashambhoy and Rene Vidal. Recursive identification of switched ARX models with unknown number of models and unknown orders. CDC 2005. [PDF]
   

Hybrid Quadratic Surface Analysis

Allen Y. Yang, Shankar Rao, Andrew Wagner, and Yi Ma. Segmentation of a piece-wise planar scene from perspective images. CVPR 2005. [PDF]
Shankar Rao, Allen Y. Yang, Andrew Wagner, and Yi Ma. Segmentation of hybrid motions via hybrid quadratic surface analysis. ICCV 2005. [PDF]
   

Miscellaneous
Yiqun Hu, Deepu Rajan and Liang-Tien Chia. Robust Subspace Analysis for Detecting Visual Attention
Regions in Images. 13th Annual ACM International Conference on Multimedia. [PDF]
R. Samur and V. Zagorodnov. Segmenting small regions in the presence of noise. ICIP 2005.
   

Related Publications

A. G. Amitha Perera, Glen Brooksby, Anthony Hoogs, and Gianfranco Doretto. Moving Object Segmentation using Scene Understanding. CVPR 2006.
Changki Min and Gérard Medioni. Motion Segmentation by Spatiotemporal Smoothness Using 5D Tensor Voting. CVPR 2006.
Pravin Bhat, Ke Colin Zheng, Noah Snavely, Aseem Agarwala, Maneesh Agrawala, Michael F. Cohen, and Brian Curless. Piecewise Image Registration in the Presence of Multiple Large Motions. CVPR 2006.
Yaser Sheikh, Niels Haering, and Mubarak Shah. Shape from Dynamic Texture for Planes. CVPR 2006.
Chang Yuan and Gérard Medioni. 3D Reconstruction of Background and Objects Moving on Ground Plane
Viewed from a Moving Camera. CVPR 2006.
Alessandro Bissacco and Stefano Soatto. Classifying Human DynamicsWithout Contact Forces. CVPR 2006.
Roberto Lublinerman, Mario Sznaier and Octavia Camps. Dynamics Based Robust Motion Segmentation. CVPR 2006.
Jingyu Yan and Marc Pollefeys. Automatic Kinematic Chain Building from Feature Trajectories of Articulated Objects. CVPR 2006.
Raghav Subbarao and Peter Meer. Nonlinear Mean Shift for Clustering over Analytic Manifolds. CVPR 2006.
Zhimin Fan, Jie Zhou, and Ying Wu. Inference of multiple subspaces from high-dimensional data and application to multibody grouping. CVPR 2004.
Amit Gruber and Yair Weiss. Multibody factorization with uncertainty and missing data using the EM algorithm. CVPR 2004.
K. Ozden, K. Cornelis, L. Van Eycken, and L. Van Gool. Reconstructing 3D independent motions using non-accidentalness. CVPR 2004.
Xiaoyun Zhang, and Yuncai Liu. 3D Articulated Motion Estimation from Images. CVPR 2005.
Yang Wang, and Quang Ji. A Dynamic Conditional Random Field Model for Object Segmentation in Image Sequences. CVPR 2005.
K. E. Ozden, L. Van Gool. Background Recognition in Dynamics Scenes with Motion Constraints. CVPR 2005.
Meirav Galun, Alexander Apartsin, and Ronen Basri. Multiscale Segmentation by Combining Motion and Intensity Cues. CVPR 2005.
Alessandro Bissacco. Modeling and Learning Contact Dynamics in Human Motion. CVPR 2005.
Ameesh Makadia, Christopher Geyer, Shankar Sastry, and Kostas Daniiilidis. Radon-based Structure from Motion Without Correspondences. CVPR 2005.
Robert Kaucic, A. G. Amitha Perera, Glen Brooksby, John Kaufhold, and Anthony Hoogs. A Unified Framework for Tracking through Occlusions and across Sensor Gaps. CVPR 2005.
Lei Zhang, Dimitris Samaras, Dardo Tomasi, Nora Volkow, Rita Goldstein. Machine Learning for Clinical Diagnosis from Function Magnetic Resonance Imaging. CVPR 2005.
A. Buchanan and A. Fitzgibbon. Damped Newton Algorithms for Matrix Factorization with Missing Data. CVPR 2005.
Konrad Schindler and David Suter. Two-view Multibody Structure-and-Motion with Outliers. CVPR 2005.
Sameer Agarwal, Jongwoo Lim, Lihi Zelnik-Manor, Pietro Porona, David Kriegman, and Serge Belongie. Beyond Pairwise Clustering. CVPR 2005
P. Tresadern and I. Reid. Articulated Structure From Motion by Factorization. CVPR 2005.
W. Chojnacki, A. van den Hengel, and M. Brooks. Constrained generalised principal component analysis. International conference on computer vision theory and applications (VISAPP). 2006