- E-postAntonella.Zanna@uib.no
- Telefon+47 55 58 48 57
- BesøksadresseRealfagbyggetRom4A8B
- PostadressePostboks 78035020 Bergen
Numerisk analyse/Geometrisk integrasjon
Bildebehandling
MAT121 (Lineær algebra/Linear algebra)
MNF130 (Diskrete strukturar/Discrete mathematics)
MAT160 (Beregningsalgoritmer/Numerical analysis 1)
MAT213 (Funkskjonsteori/Complex analysis)
MAT252 (Klassisk og beregningsorientert mekanikk/ Classical and computational mechanics)
MAT261 (Numerisk lineæralgebra/Numerial linear algebra)
MAT262 (Bildebehandling/Image processing)
MNF262 (Innføringskurs i bildebehandling og visualisering)
Master students:
- Sjur Kvammen (2006) Geometric Integration Methods for Denoising Tensor-valued Images
- Kristin Eik (2008) Om fluidregistrering for medisinske bilete
- Eyram Schwinger (2009) Renal Function Estimation using Magnetic Resonance Images
- Gleb Berdnikov (2011) Image registration with volume constraints
- Jon Nyfløtt, (2011) "Comparison of distance measures in multimodal image registration"
- Anna Katharina Trull (2013) "Estimation of parameter stability in some compartment modeling in DCE-MRI", University of Lübeck.
- Milo Viviani (2015), "Geometric integration of the point vortex equation on a rotating sphere", Universita' degli studi di Pavia.
- Andrea Raffo (2016), "Comparmental analysis of 4D MRI data. Application to renal physiology", Universita' degli studi di Genova.
- Will Haugland (2017), "Real-time image based stabilization for Dynamic Contrast Enhanced Ultrasound", Universitetet i Bergen
- Thorstein Rykkje (2018), "Lie groups and the principle of virtual work applied to systems of linked rigid bodies", University of Bergen
- Nikolai Sætran (2018), "Lagrangian dynamics for solid multi-body systems with the Moving Frame formalism", University of Bergen
- Håkon Gimse, (in progress), Machine learning for malaria detection
- Fredrick Pfeil, (in progress), Highly oscillatory differential equations
PhD Student:
- Are Losnegård (2009- ), co-supervisor
- Xue Huyian (2009-2013), "Volume preserving integrators for ordinary differential equations". UiB
- Eyram Schwinger (2011-2015) Mathematical methods for ship detection from Terra-SAR imaging. University of Ghana, Legon
- Tiril Pedersen Gurholt (2013) "Image processing, filtering and segmentation of data-sets for reservoir simulations", co-supervisor, UiB.
- Ulin Nuha Abdul Qohar (2017-) "Flow-based interpretation of dynamic contrast enhanced data", UiB
- Geir K. Nilsen (November 2018-) UiB
Research associates:
- Åsmund Kjørstad, image segmentation of the kidney
- Erik Hanson, medical image processing
- Aurora Campo, image processing for biology, stereological methods.
Postdocs:
- Ilan Degani (2006-2009), quantum control.
- Erlend Hodneland (2010-2011), image registration.
MAT292 projects:
- 2009: Erik Natvig, On the optimal control of quantum systems
- 2009: Børge Garpestad, Applications of differential geometry in computer graphics
- 2010: Steinar Børge, Pharmacokinetic and compartment modelling
Tidsskriftartikler
- 2019. Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments. Lecture Notes in Computational Science and Engineering. 126: 66-82. doi: 10.1007/978-3-319-96415-7_4
- 2019. A new framework for assessing subject-specific whole brain circulation and perfusion using MRI-based measurements and a multi-scale continuous flow model. PLoS Computational Biology. 15:e1007073: 1-31. doi: 10.1371/journal.pcbi.1007073
- 2019. Efficient Computation of Hessian Matrices in TensorFlow. arXiv.org.
- 2019. Symplectic P-stable Additive Runge--Kutta Methods. arXiv.org.
- 2019. Holmboeprisen 2018. Tangenten - tidsskrift for matematikkundervisning. 1. 11-12.
- 2017. Some integrability properties of the Kahan method. AIP Conference Proceedings. 1863:160011. doi: 10.1063/1.4992345
- 2016. Physical models for simulation and reconstruction of human tissue deformation fields in dynamic MRI. IEEE Transactions on Biomedical Engineering. 63: 2200-2210. doi: 10.1109/TBME.2015.2514262
- 2016. A classification of volume preserving generating forms in R^3. Discrete and Continuous Dynamical Systems. Series A. 36: 2285-2303. doi: 10.3934/dcds.2016.36.2285
- 2015. Projection methods and discrete gradient methods for preserving first integrals of ODES. Discrete and Continuous Dynamical Systems. Series A. 35: 2079-2098. doi: 10.3934/dcds.2015.35.2079
- 2014. Guest editors' preface. Discrete and Continuous Dynamical Systems. Series A. 34: i-ii. doi: 10.3934/dcds.2014.34.3i
- 2014. Segmentation-driven image registration-application to 4D DCE-MRI recordings of the moving kidneys. IEEE Transactions on Image Processing. 23: 2392-2404. doi: 10.1109/TIP.2014.2315155
- 2014. Normalized gradient fields for nonlinear motion correction of DCE-MRI time series. Computerized Medical Imaging and Graphics. 38: 202-210. doi: 10.1016/j.compmedimag.2013.12.007
- 2014. Normalized gradient fields and mutual information for motion correction of DCE-MRI images. Image and Signal Processing and Analysis. 38: 202-210. doi: 10.1109/ISPA.2013.6703795
- 2014. Symmetric spaces and Lie triple systems in numerical analysis of differential equations. BIT Numerical Mathematics. 54: 257-282. doi: 10.1007/s10543-014-0473-5
- 2014. Generating functions and volume preserving mappings. Discrete and Continuous Dynamical Systems. Series A. 34: 1229-1249. doi: 10.3934/dcds.2014.34.1229
- 2013. Combined motion correction and segmentation of DCE-MRI kidney data. Acta Radiologica. 54: 7-8.
- 2013. Comparative analysis of various thresholding techniques on TerraSAR-X images in the presence of speckle noise. Image and Signal Processing and Analysis. 2013: 36-42.
- 2013. Explicit volume-preserving splitting methods for polynomial divergence-free vector fields. BIT Numerical Mathematics. 53: 265-281. doi: 10.1007/s10543-012-0394-0
- 2012. Optimal quantum control by an adapted coordinate Ascent algorithm. SIAM Journal on Scientific Computing. 34: A1488-A1521. doi: 10.1137/11082467X
- 2012. Automated approaches for analysis of multimodal MRI acquisitions in a study of cognitive aging. Computer Methods and Programs in Biomedicine. 106: 328-341. doi: 10.1016/j.cmpb.2011.03.010
- 2012. Assessment of Kidney Volumes From MRI: Acquisition and Segmentation Techniques. American Journal of Roentgenology. 199: 1060-1069. doi: 10.2214/AJR.12.8657
- 2011. In vivo estimation of glomerular filtration in the kidney using DCE-MRI. Image and Signal Processing and Analysis. 755-61.
- 2011. Recent advancements on explicit volume-preserving splitting methods. Oberwolfach Reports. 8: 847-848. doi: 10.4171/OWR/2011/16
- 2010. Algorithm 903: FRB-Fortran Routines for the Exact Computation of Free Rigid Body Motions. ACM Transactions on Mathematical Software. 37. 24 sider. doi: 10.1145/1731022.1731033
- 2009. Quantitative assessment of kidney function using dynamic contrast enhanced MRI – Steps towards an integrated software prototype. Image and Signal Processing and Analysis. 575-581.
- 2009. QUANTUM CONTROL WITH PIECEWISE CONSTANT CONTROL FUNCTIONS. SIAM Journal on Scientific Computing. 31: 3566-3594. doi: 10.1137/080729839
- 2009. Generalized polar coordinates on Lie groups and numerical integrators. Numerische Mathematik. 114: 161-187. doi: 10.1007/s00211-009-0255-1
- 2008. Guest Editors' Preface. Foundations of Computational Mathematics. 8: 289-290. doi: 10.1007/s10208-007-9020-y
- 2008. Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. Foundations of Computational Mathematics. 8: 335-355. doi: 10.1007/s10208-007-9009-6
- 2008. MR2358624 (2008m:70055). Mathematical Reviews.
- 2008. MR2335372 (2008h:37083). Mathematical Reviews.
- 2008. MR2317009 (2008e:37081). Mathematical Reviews.
- 2007. The exact computation of the free rigid body motion and its use in splitting methods. SIAM Journal on Scientific Computing. 30: 2084-2112. doi: 10.1137/070704393
- 2006. Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. Applied Numerical Mathematics. 56: 814-843. Publisert 2006-06-01.
- 2005. Efficient computation of the matrix exponential by generalized polar decompositions. SIAM Journal on Numerical Analysis. 42: 2218-2256.
- 2005. The discrete Moser-Veselov algorithm for the free rigid body, revisited. Foundations of Computational Mathematics. 5: 87-123. doi: 10.1007/s10208-004-0118-6
- 2004. Recurrence relations and convergence theory of the generalized polar decomposition on Lie groups. Mathematics of Computation. 73: 761-776. doi: S0025-5718(03)01602-8
- 2004. On the Spectra of Certain Matrices Generated by Involutory Automorphisms. SIAM Journal on Matrix Analysis and Applications. 25: 1110-1123. doi: 10.1137/S0895479803423780
Rapporter/avhandlinger
- 2006. Issues in postgraduate supervision : a gender aspect. Program for læringsforskning, Universitetet i Bergen. 9 sider.
Bokkapitler
- 2011. Generalized polar decompositions in control. Artikkel, sider 123-134. I:
- 2011. Textos de matemática : mathematical papers in honour of Fátima Silva Leite. ISBN: 978-972-8564-47-6.
- 2010. Automated workflow for spatial alignment of multimodal MR image acquisitions in a longitudinal study of cognitive aging. artikkel, sider 264-269. I:
- 2010. Latest Trends on Applied Mathematics, Simulation, Modelling. 274 sider. ISBN: 978-960-474-210-3.
Se fullstendig oversikt over publikasjoner i CRIStin.
Publikasjoner fra MathSciNet (krever tilgang).
Cody: Computational Dynamics (2006-2009)
NFR no. 191178/V30, GeNuIn: Geometric Numeric Integration in Applications. (NFR, 2009-2012)
MedViz: From Vision to Decision
CRiSP (EU, 2011-2013)
NFR no. 208081 DAADppp Bergen-Lübeck, "Explicit Modelling in DCE-MRI" (2011-2012)
UiB-Meltzer "Imagina -- Multimodal image alignment" (2011-2012)
UiB-SPIRE "Modelling and Quantification in DCE-MRI" (2013-2014)
NFR no. 262203 Frinatek "Flow-based interpretation of dynamic contrast-enhanced MRI"