Selected Publications
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. (gzipped)
Journal Papers
Davis, B., Fletcher, P.T., Bullitt, E., Joshi, S. Population shape regression from random design data, to appear International Journal of Computer Vision, Marr Prize Special Issue, 2008.
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, to appear Medical Image Analysis, 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.
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.
Conference Papers
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 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.
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. (gzipped)
Journal Papers
Davis, B., Fletcher, P.T., Bullitt, E., Joshi, S. Population shape regression from random design data, to appear International Journal of Computer Vision, Marr Prize Special Issue, 2008.
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, to appear Medical Image Analysis, 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.
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.
Conference Papers
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 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.