Thesis
Fletcher, P.T., Statistical Variability in Nonlinear Spaces: Application to Shape Analysis and DT-MRI, Ph.D. Thesis, Department of Computer Science, University of North Carolina, August 2004.



Journal Papers
Hao, X., Zygmunt, K., Whitaker, R., and Fletcher, P.T. Improved Segmentation of White Matter Tracts with Adaptive Riemannian Metrics. Medical Image Analysis, (accepted) 2013.

Cardenas, V.A., Tosun, D., Chao, L.L., Fletcher, P.T., Joshi, S., Weiner, M.W., and Schuff, N. Voxel-Wise Co-analysis of Macro-and Microstructural Brain Alteration in Mild Cognitive Impairment and Alzheimer's Disease Using Anatomical and Diffusion MRI. Journal of Neuroimaging, 2013.

Prigge, M.D., Bigler, E.D., Fletcher, P.T., Zielinski, B.A., Ravichandran, C., Anderson, J., Froehlich, A., Abildskov, T., Papadopolous, E., Maasberg, K., Nielsen, J.A., Alexander, A.L., Lange, N., and Lainhart, J. Longitudinal Heschl's Gyrus Growth During Childhood and Adolescence in Typical Development and Autism. Autism Research, Vol. 6, No. 2, pp. 78-90, 2013.

Fletcher, P.T. Geodesic Regression and the Theory of Least Squares on Riemannian Manifolds, International Journal of Computer Vision, pp. 1-15, 2012.

Sadeghi, N., Prastawa, M., Fletcher, P.T., Wolff, J., Gilmore, J.H., and Gerig, G. Regional characterization of longitudinal DT-MRI to study white matter maturation of the early developing brain, Neuroimage, 68, pp. 236-247, 2012.

Zielinski, B.A., Anderson, J.S., Froehlich, A.L., Prigge, M.B., Nielsen, J.A., Cooperrider, J.R., Cariello, A.N., Fletcher, P.T., Alexander, A.L., Lange, N., Bigler, E.D., and Lainhart, J.E. scMRI Reveals Large-Scale Brain Network Abnormalities in Autism, PloS one, Vol. 7, No. 11, 2012.

Anderson, J.S., Nielsen, J.A., Froehlich, A.L., DuBray, M.B., Druzgal, T.J., Cariello, A.N., Cooperrider, J.R., Zielinski, B.A., Ravichandran, C., Fletcher, P.T., Alexander, A.L., Bigler, E.D., Lange, N., and Lainhart, J.E. Functional connectivity magnetic resonance imaging classification of autism, Brain, 2011.

Gerber S, Tasdizen T, Fletcher PT, Joshi S, Whitaker R, Alzheimers Disease Neuroimaging Initiative (ADNI). Manifold modeling for brain population analysis, Medical Image Analysis, Vol. 14, No. 5, pp. 643-653, 2010. Winner of Best Paper of MICCAI 2009 (MedIA Special Issue)

Fletcher, P.T., Whitaker, R.T., Tao, R., DuBray, M.B., Froelich, A., Ravichandran, C., Alexander, A.L., Bigler, E.D., Lange, N., Lainhart, J.E. Microstructural connectivity of the arcuate fasciculus in adolescents with high-functioning autism, NeuroImage, Vol. 51, pp. 1117-1125, 2010.

Davis, B., Fletcher, P.T., Bullitt, E., Joshi, S. Population shape regression from random design data, International Journal of Computer Vision, Vol. 90, No. 2, pp. 255-266, 2010.

Fletcher, PT, Venkatasubramanian, S, Joshi, S. The geometric median on Riemannian manifolds with application to robust atlas estimation, NeuroImage, Volume 45, Issue 1, Supplement 1, March 2009, pp. S143-S152.

Goodlett, CB, Fletcher, PT, Gilmore, JH, Gerig, G. Group analysis of DTI fiber tract statistics with application to neurodevelopment, NeuroImage, Volume 45, Issue 1, Supplement 1, March 2009, pp. S133-S142.

Jurrus, E., Hardy, M., Tasdizen, T., Fletcher, P.T., Koshevoy, P., Chien, C.-B., Denk, W., Whitaker, R. Axon tracking in serial block-face scanning electron microscopy, Medical Image Analysis, Vol. 13, No. 1, pp. 180-188, 2008.

Foster, N.L., Wang, A.Y., Tasdizen, T., Fletcher, P.T., Hoffman, J.M., Koeppe, R.A. Realizing the potential of positron emission tomography with 18F-fluorodeoxyglucose to improve the treatment of Alzheimer's disease, Alzheimer's and Dementia, vol. 4, no. 1, suppl. 1, pp. S29-S36, 2008.

Jeong, W.-K., Fletcher, P.T., Tao, R., Whitaker, R.T. Interactive visualization of volumetric white matter connectivity in diffusion tensor MRI using a parallel-hardware Hamilton-Jacobi solver, IEEE Transactions on Visualization and Computer Graphics (Proceedings of IEEE Visualization), vol. 13, no. 6, pp. 1480-1487, 2007.

Fletcher, P.T., Joshi, S. Riemannian Geometry for the Statistical Analysis of Diffusion Tensor Data. Signal Processing, vol. 87, no. 2, February 2007, pp. 250-262. Most cited Signal Processing paper 2007-2009

Corouge, I., Fletcher, P.T., Joshi, S., Gouttard, S., Gerig, G. Fiber tract-oriented statistics for quantitative diffusion tensor MRI analysis, Medical Image Analysis, vol. 10, no. 5, October 2006, pp. 786-798.

Pizer, S.M., Fletcher, P.T., Joshi, S., Gash, A.G., Stough, J., Thall, A., Tracton, G., Chaney, E. Method and Software for Segmentation of Anatomic Object Ensembles by Deformable M-Reps, Medical Physics, vol. 32, no. 5, May, 2005, pp. 1335-1345.

Fletcher, P.T., Joshi, S., Lu, C., Pizer, S.M. Principal Geodesic Analysis for the Study of Nonlinear Statistics of Shape, IEEE Transactions on Medical Imaging, vol. 23, no. 8, pp. 995-1005, IEEE, Aug. 2004.

Pizer, S.M., Fletcher, P.T., Joshi, S., Thall, A., Chen, J.Z., Fridman, Y., Fritsch, D.S., Gash, A.G., Glotzer, J.M., Jiroutek, M.R., Lu, C., Muller, K.E., Tracton, G., Yushkevich, P., Chaney, E.L. Deformable M-Reps for 3D Medical Image Segmentation. International Journal of Computer Vision, vol. 55, no. 2, pp. 85-106, 2003.

Yushkevich, P., Fletcher, P.T., Joshi, S., Thall, A., and Pizer, S.M. Continuous Medial Representations for Geometric Object Modeling in 2D and 3D, Image and Vision Computing, vol. 21, no. 1, pp.17-28, 2003.

Joshi, S., Pizer, S.M., Fletcher, P.T., Yushkevich, P., Thall, A., and Marron, J.S. Multi-scale Deformable Model Segmentation and Statistical Shape Analysis Using Medial Descriptions, IEEE Transactions on Medical Imaging, May, 2002.



Book Chapters
Fletcher, P.T., Pizer, S.M., Joshi, S.C. Shape Variation of Medial Axis Representations via Principal Geodesic Analysis on Symmetric Spaces. In Statistics and Analysis of Shapes, chp. 2, pp. 29-60, eds. H. Krim and A. Yezzi, Birkhauser, 2006.

Pizer, S, Han, Q, Joshi, S, Fletcher, PT, Yushkevich, PA, Thall, A. Synthesis, Deformation, and Statistics of 3D Objects via M-reps. In Medial Representations Mathematics, Algorithms and Applications, chp. 8, Springer, 2009.

Pizer, S, Styner, M, Terriberry, T, Broadhurst, R, Joshi, S, Chaney, E, Fletcher, PT. Statistical Applications with Deformable M-Reps. In Medial Representations Mathematics, Algorithms and Applications, chp. 9, Springer, 2009.



Peer-Reviewed Conference and Workshop Papers
Hao, X., and Fletcher, P.T. Joint Fractional Segmentation and Multi-Tensor Estimation in Diffusion MRI, In: Proceedings of the International Conference on Information Processing in Medical Imaging (IPMI), 2013.

Sadeghi, N., Prastawa, M.W., Fletcher, P.T., Gilmore, J.H., and Gerig, G. Multivariate Modeling of Longitudinal MRI in Early Brain Development with Confidence Measures, In: Proceedings of the IEEE International Symposium on Biomedical Imaging (ISBI), 2013.

Sharma, A., Fletcher, P.T., Gilmore, J.H., Escolar, M.L., Gupta, A., Styner, M., and Gerig, G. Spatiotemporal Modeling of Discrete-Time Distribution-Valued Data Applied to DTI Tract Evolution in Infant Neurodevelopment, In: Proceedings of the IEEE International Symposium on Biomedical Imaging (ISBI), 2013.

Singh, N.P., Hinkle, J., Joshi, S., and Fletcher, P.T. A Hierarchical Geodesic Model for Diffeomorphic Longitudinal Shape Analysis, In: Proceedings of the International Conference on Information Processing in Medical Imaging (IPMI), 2013.

Singh, N.P., Hinkle, J., Joshi, S., and Fletcher, P.T. A Vector Momenta Formulation of Diffeomorphisms for Improved Geodesic Regression and Atlas Construction, In: Proceedings of the IEEE International Symposium on Biomedical Imaging (ISBI), 2013.

Wong, E., Awate, S.P., and Fletcher, P.T. Adaptive Sparsity in Gaussian Graphical Models, In: International Conference on Machine Learning (ICML) 2013.

Zhang, M., and Fletcher, P.T. Probabilistic Principal Geodesic Analysis, In: Neural Information Processing Systems, 2013.

Zhang, M., Singh, N.P., and Fletcher, P.T. Bayesian Estimation of Regularization and Atlas Building in Diffeomorphic Image Registration, In: Proceedings of the International Conference on Information Processing in Medical Imaging (IPMI), 2013.

Zhu, X., Gur, Y., Wang, W., and Fletcher, P.T. Model Selection and Estimation of Multi-Compartment Models in Diffusion MRI with a Rician Noise Model, In: Proceedings of the International Conference on Information Processing in Medical Imaging (IPMI), 2013.

Datar, M., Muralidharan, P., Kumar, A., Gouttard, S., Piven, J., Gerig, G., Whitaker, R., and Fletcher, P.T. Mixed-Effects shape models for estimating longitudinal changes in anatomy, In: MICCAI Workshop on Spatio-temporal Image Analysis for Longitudinal and Time-Series Image Data, Springer, pp. 76-87, 2012.

Hinkle, J., Muralidharan, P., Fletcher, P.T., and Joshi, S. Polynomial regression on Riemannian manifolds, In: European Conference on Computer Vision (ECCV), Springer, pp. 1-14, 2012.

Liu, W., Awate, S.P., and Fletcher, P.T. Group Analysis of Resting-State fMRI by Hierarchical Markov Random Fields, In: Medical Image Computing and Computer-Assisted Intervention (MICCAI), Springer, pp. 189-196, 2012.

Muralidharan, P. and Fletcher, P.T. Sasaki metrics for analysis of longitudinal data on manifolds, In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 1027-1034, 2012.

Singh, N., Wang, A.Y., Sankaranarayanan, P., Fletcher, P.T., and Joshi, S. Genetic, structural and functional imaging biomarkers for early detection of conversion from MCI to AD, In: Medical Image Computing and Computer-Assisted Intervention (MICCAI). Springer, pp. 132-140, 2012.

Fletcher, P.T. Geodesic Regression on Riemannian Manifolds, In: MICCAI Workshop on Mathematical Foundations of Computational Anatomy (MFCA), 2011.

Fletcher, P.T., Moeller, J., Phillips, J., and Venkatasubramanian, S. Horoball hulls and extents in positive definite space, In: Algorithms and Data Structures, Springer, pp. 386-398, 2011.

Hao, X., Whitaker, R., and Fletcher, P.T. Adaptive Riemannian metrics for improved geodesic tracking of white matter, In: Information Processing in Medical Imaging, Springer, pp. 13-24, 2011.

Liu, W., Awate, S., Anderson, J., Yurgelun-Todd, D., and Fletcher, P.T. Monte Carlo expectation maximization with hidden Markov models to detect functional networks in resting-state fMRI, In: MICCAI Workshop on Machine Learning in Medical Imaging, Springer, pp. 59-66, 2011.

Sadeghi, N., Prastawa, M., Fletcher, P.T., Gilmore, J., Lin, W., and Gerig, G. Statistical Growth Modeling of Longitudinal DT-MRI for Regional Characterization of Early Brain Development. In: MICCAI Workshop on Image Analysis of Human Brain Development, 2011.

Liu, W, Zhu, P, Anderson, JS, Yurgelun-Todd, D, Fletcher, PT, Spatial Regularization of Functional Connectivity Using High-Dimensional Markov Random Fields, Medical Image Computing and Computer-Assisted Intervention (MICCAI), 2010.

Singh, N, Fletcher, PT, Preston, JS, Ha, L, King, R, Marron, JS, Wiener, M, Joshi, S, Multivariate Statistical Analysis of Deformation Momenta Relating Anatomical Shape to Neuropsychological Measures, Medical Image Computing and Computer-Assisted Intervention (MICCAI), 2010.

Fletcher, PT, Moeller, J, Phillips, J, Venkatasubramanian, S, Computing Hulls in Positive Definite Space, 19th Fall Workshop on Computational Geometry, November, 2009.

Datar, M, Cates, J, Fletcher, PT, Gouttard, S, Gerig, G, Whitaker, R, Particle Based Shape Regression of Open Surfaces with Applications to Developmental Neuroimaging, Medical Image Computing and Computer-Assisted Intervention (MICCAI), pp. 167-174, 2009.

Tao, R, Fletcher, PT, Gerber, S, Whitaker, R. A Variational Image-Based Approach to the Correction of Susceptibility Artifacts in the Alignment of Diffusion Weighted and Structural MRI, Information Processing in Medical Imaging (IPMI), pp. 651-663, 2009.

Hinkle, J, Fletcher, PT, Wang, B, Salter, W, Joshi, S. 4D MAP Image Reconstruction Incorporating Organ Motion, Information Processing in Medical Imaging (IPMI), pp. 676-687, 2009.

Oguz, Cates, Whitaker, Fletcher, Niethammer, Styner, Cortical Correspondence with Probabilistic Fiber Connectivity, Information Processing in Medical Imaging (IPMI), pp. 651-663, 2009.

Goodlett, C.B., Fletcher, P.T., Gilmore, J.H., Gerig, G. Group Statistics of DTI Fiber Bundles Using Spatial Functions of Tensor Measures. Medical Image Computing and Computer-Assisted Intervention (MICCAI), pp. 1068-1075, 2008.

Tao, R., Fletcher, P.T., Whitaker, R. A Framework for Joint Analysis of Structural and Diffusion MRI, MICCAI Workshop on Computational Diffusion MRI (CDMRI), 2008.

Fletcher, P.T., Venkatasubramanian, S., Joshi, S. Robust statistics on Riemannian manifolds via the geometric median, to appear IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2008.

Cates, J., Fletcher, P.T., Warnock, Z., Whitaker, R. A shape analysis framework for small animal phenotyping with application to mice with a targeted disruption of HoxD11, to appear IEEE International Symposium on Biomedical Imaging (ISBI), 2008.

Oguz, I., Cates, J., Fletcher, P.T., Whitaker, R., Cool, D., Aylward, S., Styner, M. Entropy-based particle systems and local features for cortical correspondence optimization, to appear IEEE International Symposium on Biomedical Imaging (ISBI), 2008.

Davis, B., Fletcher, P.T., Bullitt, E., Joshi, S. Population shape regression from random design data, IEEE International Conference on Computer Vision (ICCV), Winner of the David Marr Best Paper Award, October, 2007.

Jeong, W.-K., Fletcher, P.T., Tao, R., Whitaker, R.T. Interactive visualization of volumetric white matter connectivity in diffusion tensor MRI using a parallel-hardware Hamilton-Jacobi solver, IEEE Visualization, October, 2007.

Goodlett, C., Fletcher, P.T., Lin, W., Gerig, G. Quantification of Measurement Error in DTI: Theoretical Predictions and Validation, Medical Image Computing and Computer Assisted Intervention (MICCAI), October, 2007.

Fletcher, P.T., Tao, R., Jeong, W.-K., Whitaker, R.T., A Volumetric Approach to Quantifying Region-to-Region White Matter Connectivity in Diffusion Tensor MRI, In Information Processing in Medical Imaging (IPMI), LNCS 4584, pp. 346-358, 2007.

Fletcher, P.T., Powell, S., Foster, N.L., Joshi, S.C. Quantifying Metabolic Asymmetry Modulo Structure in Alzheimer's Disease, In Information Processing in Medical Imaging (IPMI), LNCS 4584, pp. 446-457, 2007.

Cates, J., Fletcher, P.T., Styner, M., Shenton, M., Whitaker, R. Shape Modeling and Analysis with Entropy-Based Particle Systems, In Information Processing in Medical Imaging (IPMI), LNCS 4584, pp. 333-345, 2007.

Basu, S., Fletcher, P.T., Whitaker, R.T. Rician Noise Removal in Diffusion Tensor MRI. In Medical Image Computing and Computer Assisted Intervention (MICCAI), LNCS 4190, pp. 117-125, October, 2006.

Fletcher, P.T., Whitaker, R.T. Riemannian Metrics on the Space of Solid Shapes, Workshop on Mathematical Foundations of Computational Anatomy, MICCAI, October, 2006.

Cates, J., Meyer, M., Fletcher, P.T., Whitaker, R.T. Entropy-Based Particle Systems for Shape Correspondence, Workshop on Mathematical Foundations of Computational Anatomy, MICCAI, October, 2006.

Jurrus, E., Tasdizen, T., Koshevoy, P., Fletcher, P.T., Hardy, M., Chien, C-B., Denk, W., Whitaker, R.T. Axon Tracking in Serial Block-Face Scanning Electron Microscopy, In Workshop on Microscopic Image Analysis with Applications in Biology, MICCAI, October, 2006.

Corouge, I., Fletcher, P.T., Joshi, S., Gilmore, J.H., Gerig, G. Fiber Tract-Oriented Statistics for Quantitative Diffusion Tensor MRI Analysis. In Medical Image Computing and Computer-Assisted Intervention (MICCAI), pp. 671-679, 2005.

Dam, E., Fletcher, P.T., Pizer, S.M., Tracton, G., Rosenman, J. Prostate Shape Modeling based on Principal Geodesic Analysis Bootstrapping. In Medical Image Computing and Computer-Assisted Intervention (MICCAI), pp. 1008-1016, 2004.

Fletcher, P.T., Joshi, S. Principal Geodesic Analysis on Symmetric Spaces: Statistics of Diffusion Tensors, Presented at ECCV 2004 Workshop on Computer Vision Approaches to Medical Image Analysis (CVAMIA), LNCS 3117, Springer-Verlag, pp. 87-98, 2004.

Fletcher, P.T., Joshi, S., Lu, C., Pizer, S. Gaussian Distributions on Lie Groups and Their Application to Statistical Shape Analysis, In proceedings of Information Processing in Medical Imaging (IPMI), pages 450-462, 2003. Runner-up for the Francois Erbsmann Prize.

Fletcher, P.T., Lu, C., Joshi, S. Statistics of Shape via Principal Geodesic Analysis on Lie Groups, In proceedings of IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pages 95-101, 2003.

Fletcher, P.T., Pizer, S. M., Gash, A. G., Joshi, S. Deformable M-rep Segmentation of Object Complexes, In IEEE International Symposium on Biomedical Imaging (ISBI), pp. 26-29, 2002.

Pizer, S. M., Joshi, S. C., Fletcher, P. T., Styner, M., Tracton, G., Chen, J. Z. Segmentation of Single-Figure Objects by Deformable M-reps. In Medical Image Computing and Computer-Assisted Intervention (MICCAI), pp. 862-871, 2001.

Joshi, S. C., Pizer, S. M., Fletcher, P. T., Thall, A., Tracton, G. Multi-scale 3-D Deformable Model Segmentation Based on Medial Description. In Information Processing in Medical Imaging (IPMI), pp. 64-77, 2001.