Research


CVGMI is involved in developing efficient algorithms for a variety of problems in diverse domains ranging from Computational Vision, Graphics and Medical Imaging. Within Computer Vision, we are concerned with developing efficient algorithms for 2D/3D image and motion segmention, image indexing using concepts of information geometry, for content-based retrieval (CBR). In Medical Imaging, we are involved in developing algorithms for shape modeling and recovery from volume data; inter and intra-modal volume image registration; Diffusion Tensor and high angular diffusion weighted MR image analysis, visualization and nerve fiber mapping; shape learning and classification using novel machine learning methods with applications to neuro-degenerative disorders e.g., epilepsy.




 
  
   Efficient computations of statistics on Riemannian manifolds
   Nonlinear Regression on Riemannian manifolds
   Diffusion Weighted MR Image Analysis
   Fiber Reconstruction
   Image Segmentation and Registration
   Hippocampal Shape Analysis and Epilepsy Diagnosis
   Density Estimation
   Information Geometry and Machine Learning
   Face Recognition
  
   Medical Imaging
   Computer Graphics
   Computer Vision and Image Processing
   Applied Mathematics
  



  
Efficient computations of statistics on Riemannian manifolds


R. Chakraborty, S. Hauberg, B. C. Vemuri Intrinsic Grassmann Averages for Online Linear and Robust Subspace Learning In IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2017.

M. Banerjee, B. Jian, B. C. Vemuri Robust Fréchet Mean and PGA on Riemannian Manifolds with Applications to Neuroimaging In Information Processing in Medical Imaging (IPMI), 2017.

R. Chakraborty, D. Seo, B. C. Vemuri An efficient Exact-PGA algorithm for constant curvature manifolds In IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2016, pages 3976-3984.

G. Cheng, J. Ho, H. Salehian, B. C. Vemuri Recursive Computation of the Fréchet Mean on Non-positively Curved Riemannian Manifolds with Applications In Riemannian Computing in Computer Vision (RCCV), 2016, pages 21-43.

R. Chakraborty, B. C. Vemuri Recursive Fréchet mean computation on the Grassmannian and its applications to computer vision In Proceedings of the IEEE International Conference on Computer Vision (ICCV), 2015, pages 4229-4237.

H. Salehian, R. Chakraborty, E. Ofori, D. Vaillancourt, B. C. Vemuri An efficient recursive estimator of the Fréchet mean on a hypersphere with applications to medical image analysis In Mathematical Foundations of Computational Anatomy (MFCA), 2015.

H. Salehian, D. Vaillancourt, B. C. Vemuri iPGA: incremental principal geodesic analysis with applications to movement disorder classification In International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI), 2014.

H. Salehian, G. Cheng, B. C. Vemuri, J. Ho Recursive estimation of the stein center of SPD matrices and its applications In Proceedings of the IEEE International Conference on Computer Vision (ICCV), 2013, pages 1793-1800.

J. Ho, G. Cheng, H. Salehian, B. C. Vemuri Recursive Karcher Expectation Estimators And Geometric Law of Large Numbers In Artificial Intelligence and Statistics Conference (AISTATS), 2013, pages 325-332.

G. Cheng, H. Salehian, B. C. Vemuri Efficient recursive algorithms for computing the mean diffusion tensor and applications to DTI segmentation In European Conference on Computer Vision (ECCV), 2012, pages 390-401.

  
Nonlinear Regression on Riemannian manifolds


M. Banerjee, R. Chakraborty, E. Ofori, M. Okun, D. Vaillancourt, B. C. Vemuri A Nonlinear Regression Technique for Manifold Valued Data with Applications to Medical Image Analysis In IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2016, pages 4424-4432.

M. Banerjee, R. Chakraborty, E. Ofori, M. Okun, D. Vaillancourt, B. C. Vemuri Nonlinear regression on riemannian manifolds and its applications to neuro-image analysis In International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI), 2015, pages 719-727.

  
Diffusion Weighted MR Image Analysis


A. Barmpoutis, M. S. Hwang, D. Howland, J. R. Forder and B. C. Vemuri Regularized Positive-Definite Fourth-Order Tensor Field Estimation from DW-MRI In NeuroImage, March 2009, Vol. 45, No. 1 sup.1, pages 153-162.

Jian, B., Vemuri, B.C., Ozarslan, E., Carney, P.R., Mareci and T.H. A novel tensor distribution model for the diffusion-weighted MR signal. In Neuroimage, 2007.
Fiber Reconstruction


A. Barmpoutis, B. Jian, and B. C. Vemuri, Adaptive kernels for multi-fiber reconstruction. In In LNCS (Springer) Proceedings of IPMI09: Information Processing in Medical Imaging, 2009.

Ritwik Kumar, Baba C. Vemuri, Fei Wang, Tanveer Syeda-Mahmood, Paul R. Carney and Thomas H. Mareci, Multi-fiber Reconstruction from DW-MRI data using a Continuous Mixture of Hyperspherical von Mises-Fisher Distributions. In Information Processing in Medical Imaging (IPMI), 2009.

A. Barmpoutis, B. C. Vemuri, D. Howland and J. R. Forder, Extracting Tractosemas from a displacement probability field for tractography in DW-MRI. In In LNCS 5241, (Springer) Proceedings of MICCAI08: Int. Conf. on Medical Image Computing and Computer Assisted Intervention, 2008, pages 9-16.

A. Barmpoutis, B. C. Vemuri and J. R. Forder Fast displacement probability profile approximation from HARDI using 4th-order tensors. In Proceedings of ISBI08: IEEE International Symposium on Biomedical Imaging, 2008, pages 911-914.

Jian, B., Vemuri and B.C. , Multi-fiber reconstruction from diffusion MRI using mixture of Wisharts and sparse deconvolution. In Inf Process Med Imaging, 2007, Vol. 20.
  
Density Estimation


Rajwade, A., Banerjee, A., Rangarajan and A. , Probability Density Estimation Using Isocontours and Isosurfaces: Applications to Information-Theoretic Image Registration In Pattern Analysis and Machine Intelligence, IEEE Transactions on, March 2009, Vol. 31, No. 3, pages 475-491.

Ajit Rajwade, Arunava Banerjee and Anand Rangarajan , New Method of Probability Density Estimation with Application to Mutual Information Based Image Registration In CVPR (2), 2006, pages 1769-1776.

Adrian M. Peter and Anand Rangarajan, Maximum Likelihood Wavelet Density Estimation With Applications to Image and Shape Matching. In IEEE Transactions on Image Processing, 2008, Vol. 17, No. 4, pages 458-468.

  
Information Geometry and Machine Learning


Santhosh Kodipaka, Arunava Banerjee and Baba C. Vemuri, Large margin pursuit for a Conic Section classifier. In IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2008.

A. Banerjee, S. Kodipaka, B. C. Vemuri, A Conic Section Classifier and its Application to Image Datasets, In CVPR (1) 2006: 103-108

Adrian M. Peter, Anand Rangarajan and Jeffrey Ho, Shape L'Ane rouge: Sliding wavelets for indexing and retrieval In CVPR, 2008.

Adrian Peter and Anand Rangarajan A New Closed-Form Information Metric for Shape Analysis In MICCAI (1), 2006, pages 249-256.
  
Face Recognition


Ritwik Kumar, Arunava Banerjee and Baba C. Vemuri Volterrafaces: Discriminant Analysis using Volterra Kernels In IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2009.

A. Barmpoutis, R. Kumar, B.C. Vemuri and A. Banerjee Beyond the Lambertian assumption: A generative model for Apparent BRDF fields of faces using anti-symmetric tensor splines. In Proc. IEEE Conference on Computer Vision and Pattern Recognition CVPR 2008, 2008, pages 1-6.

  
Hippocampal Shape Analysis and Epilepsy Diagnosis


Lord, N.A., Ho, J., Vemuri, B.C., Eisenschenk and S.Simultaneous registration and parcellation of bilateral hippocampal surface pairs for local asymmetry quantification.In IEEE Trans Med Imaging, 2007, Vol. 26, No. 4, pages 471-8.

Nicholas A. Lord, Jeffrey Ho, Baba C. Vemuri and Stephan J. Eisenschenk A Geometric Variational Framework for Simultaneous Registration and Parcellation of Homologous Surfaces. In SSVM, 2007, pages 789-800.

Nicholas A. Lord, Jeffrey Ho and Baba C. Vemuri USSR: A Unified Framework for Simultaneous Smoothing, Segmentation, and Registration of Multiple Images. In IEEE 11th International Conference on Computer Vision (ICCV)., October 2007.
S. Kodipaka, B. C. Vemuri, A. Rangarajan, C. M. Leonard, I. Schmallfuss and S. Eisenschenk. Kernel Fisher discriminant for shape-based classification in epilepsy
In Medical Image Analysis, 2007, Vol. 11, No. 2, pages 79-90.
  
Image Segmentation and Registration


Subakan, O.N., Vemuri and B.C. Image segmentation via convolution of a level-set function with a Rigaut Kernel In Computer Vision and Pattern Recognition, 2008.

Subakan, O., Bing Jian, Vemuri, B.C., Vallejos and C.E. Feature Preserving Image Smoothing Using a Continuous Mixture of Tensors In IEEE 11th International Conference onComputer Vision (ICCV)., October 2007, pages 1-6.

Yu-Tseh Chi, S. M. Nejhum Shahed, Jeffrey Ho and Ming-Hsuan Yang Higher Dimensional Affine Registration and Vision Applications In ECCV (4), 2008, pages 256-269.

Fei Wang, Baba C. Vemuri, Anand Rangarajan, Ilona M. Schmalfuss and Stephan J. Eisenschenk Simultaneous Nonrigid Registration of Multiple Point Sets and Atlas Construction In ECCV (3), 2006, pages 551-563. #

Tim McGraw, Baba C. Vemuri, Robert Yezierski and Thomas Mareci Segmentation of High Angular Resolution Diffusion MRI Modeled as a Field of von Mises-Fisher Mixtures In ECCV (3), 2006, pages 463-475.

Wang, F., Vemuri, B.C., Eisenschenk and S.J. Joint registration and segmentation of neuroanatomic structures from brain MRI. In Acad Radiol, 2006, Vol. 13, No. 9, pages 1104-11.


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