SCIENTIFIC COMPUTING AND IMAGING INSTITUTE
at the University of Utah

An internationally recognized leader in visualization, scientific computing, and image analysis

SCI Publications

2009


H.C. Hazlett, M.D. Poe, A.A. Lightbody, G. Gerig, J.R. MacFall, A.K. Ross, J. Provenzale, A. Martin, A.L. Reiss, J. Piven. “Teasing apart the heterogeneity of autism: Same behavior, different brains in toddlers with fragile X syndrome and autism,” In Journal of Neurodevelopmental Disorders, Vol. 1, No. 1, pp. 81--90. 2009.
PubMed ID: 20700390


H.B. Henninger, S.A. Maas, J.H. Shepherd, S. Joshi, J.A. Weiss. “Transversely Isotropic Distribution of Sulfated Glycosaminoglycans in Human Medial Collateral Ligament: A Quantitative Analysis,” In Journal of Structural Biology, Vol. 165, pp. 176-183. 2009.
PubMed ID: 19126431


H.B. Henninger, S.P. Reese, A.E. Anderson, J.A. Weiss. “Validation of computational models in biomechanics,” In Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, Vol. 224, No. 7, SAGE Publications, pp. 801--812. 2009.


J. Hinkle, P.T. Fletcher, Brian Wang, B. Salter, S. Joshi. “4D MAP image reconstruction incorporating organ motion,” In Information Processing in Medical Imaging, Lecture Notes in Computer Science LNCS, Vol. 5636, pp. 676--687. 2009.
PubMed ID: 19694303


B.M. Isaacson, J.G. Stinstra, R.S. MacLeod, J.B. Webster, J.P. Beck, R.D. Bloebaum. “Bioelectric Analyses of an Osseointegrated Intelligent Implant Design System for Amputees,” In JoVE, Vol. 29, 2009.


W.-K. Jeong, J. Beyer, M. Hadwiger, A. Vazquez, H. Pfister, R.T. Whitaker. “Scalable and Interactive Segmentation and Visualization of Neural Processes in EM Datasets,” In IEEE Transactions on Visualization and Computer Graphics, Proceedings of the 2009 IEEE Visualization Conference, Vol. 15, No. 6, pp. 1505--1514. Sept/Oct, 2009.


E. Jurrus, M. Hardy, T. Tasdizen, P.T. Fletcher, P. Koshevoy, C.-B. Chien, W. Denk, R.T. Whitaker. “Axon Tracking in Serial Block-Face Scanning Electron Microscopy,” In Medical Image Analysis (MEDIA), Vol. 13, No. 1, Elsevier, pp. 180--188. February, 2009.
PubMed ID: 18617436


E. Jurrus, A.R.C. Paiva, S. Watanabe, R.T. Whitaker, E.M. Jorgensen, T. Tasdizen. “Serial Neural Network Classifier for Membrane Detection using a Filter Bank.,” SCI Technical Report, No. UUSCI-2009-006, SCI Institute, University of Utah, 2009.


E. Jurrus, A.R.C. Paiva, S. Watanabe, R. Whitaker, E.M. Jorgensen, T. Tasdizen. “Serial Neural Network Classifier for Membrane Detection using a Filter Bank,” In Proc. Workshop on Microscopic Image Analysis with Applications in Biology, Bethesda, MD, USA, 2009.


A. Knoll, I. Wald, C.D. Hansen. “Coherent Multiresolution Isosurface Ray Tracing,” In The Visual Computer, Vol. 25, No. 3, pp. 209--225. 2009.


A. Knoll, Y. Hijazi, C.D. Hansen, I. Wald, H. Hagen. “Fast Ray Tracing of Arbitrary Implicit Surfaces with Interval and Affine Arithmetic,” In Computer Graphics Forum, Vol. 28, No. 1, pp. 26--40. 2009.


A. Knoll, Y. Hijazi, R. Westerteiger, M. Schott, C.D. Hansen, H. Hagen. “Volume Ray Casting with Peak Finding and Differential Sampling,” In IEEE Transactions on Visualization and Computer Graphics, Proceedings of the 2009 IEEE Visualization Conference, Vol. 15, No. 6, pp. 1571--1578. Sept/Oct, 2009.


A. Knoll, Y. Hijazi, R. Westerteiger, M. Schott, C.D. Hansen, Hans Hagen. “Volume Ray Casting with Peak Finding and Differential Sampling,” In IEEE Transactions on Visualization and Computer Graphics, Vol. 15, No. 6, pp. 1571-1578. 2009.


J. Krüger, T. Fogal. “Focus and Context - Visualization without the Complexity,” In Proceedings of the World Congress on Medical Physics and Biomedical Engineering, September 7 - 12, 2009, Munich, Germany, IFMBE Proceedings, Vol. 25/13, Springer Berlin Heidelberg, pp. 44--48. 2009.


S. Lew, C.H. Wolters, T. Dierkes, C. Röer, R.S. MacLeod. “Accuracy and run-time comparison for different potential approaches and iterative solvers in finite element method based EEG source analysis,” In Applied Numerical Mathematics, Vol. 59, pp. 1970--1988. 2009.


S. Lew, C.H. Wolters, A. Anwander, S. Makeig, R.S. MacLeod. “Improved EEG Source Analysis Using Low-Resolution Conductivity Estimation in a Four-Compartment Finite Element Head Model,” In Human Brain Mapping, Vol. 30, pp. 2862--2878. 2009.


J. Li, D. Xiu. “A Generalized Polynomial Chaos Based Ensemble Kalman Filter with High Accuracy,” In Journal of Computational Physics, Vol. 228, No. 15, pp. 5454--5469. 2009.
DOI: 10.1016/j.jcp.2009.04.029

ABSTRACT

As one of the most adopted sequential data assimilation methods in many areas, especially those involving complex nonlinear dynamics, the ensemble Kalman filter (EnKF) has been under extensive investigation regarding its properties and efficiency. Compared to other variants of the Kalman filter (KF), EnKF is straightforward to implement, as it employs random ensembles to represent solution states. This, however, introduces sampling errors that affect the accuracy of EnKF in a negative manner. Though sampling errors can be easily reduced by using a large number of samples, in practice this is undesirable as each ensemble member is a solution of the system of state equations and can be time consuming to compute for large-scale problems. In this paper we present an efficient EnKF implementation via generalized polynomial chaos (gPC) expansion. The key ingredients of the proposed approach involve (1) solving the system of stochastic state equations via the gPC methodology to gain efficiency; and (2) sampling the gPC approximation of the stochastic solution with an arbitrarily large number of samples, at virtually no additional computational cost, to drastically reduce the sampling errors. The resulting algorithm thus achieves a high accuracy at reduced computational cost, compared to the classical implementations of EnKF. Numerical examples are provided to verify the convergence property and accuracy improvement of the new algorithm. We also prove that for linear systems with Gaussian noise, the first-order gPC Kalman filter method is equivalent to the exact Kalman filter.

Keywords: Kalman filter, Data assimilation, Polynomial chaos, Uncertainty quantification


Z. Liu, H. Zhu, B.L. Marks, L.M. Katz, C.B. Goodlett, G. Gerig, M. Styner. “Voxel-wise group analysis of DTI,” In Proceedings of the IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2009, pp. 807--810. 2009.
DOI: 10.1109/ISBI.2009.5193172


J. Luitjens, M. Berzins. “Uintah: A Scalable Adaptive Framework for Emerging Petascale Platforms,” SCI Technical Report, No. UUSCI-2009-002, SCI Institute, University of Utah, 2009.


S.A. Maas, B.J. Ellis, D.S. Rawlins, J.A. Weiss. “A Comparison of FEBio, ABAQUS, and NIKE3D Results for a Suite of Verification Problems,” SCI Technical Report, No. UUSCI-2009-009, SCI Institute, University of Utah, 2009.