Antonella Zanna

Professor

Matematisk institutt

E-postAntonella.Zanna@uib.no
Telefon+47 55 58 48 57
Besøksadresse
Realfagbygget

Rom
4A8B
Postadresse
Postboks 7803

5020 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

Hanson, Erik Andreas; Hodneland, Erlend; Lorentzen, Rolf Johan; Nævdal, Geir; Nordbotten, Jan Martin; Sævareid, Ove; Zanna, Antonella. 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

Zanna, Antonella. 2017. Some integrability properties of the Kahan method. AIP Conference Proceedings. 1863:160011. doi: 10.1063/1.4992345

Hodneland, Erlend; Hanson, Erik Andreas; Zanna, Antonella; Lundervold, Arvid; Nordbotten, Jan Martin. 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
Verdier, Olivier; Xue, Huiyan; Zanna, Antonella. 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

Norton, Richard A.; McLaren, David I.; Quispel, Gilles Reinout Willem; Stern, Ari; Zanna, Antonella. 2015. Projection methods and discrete gradient methods for preserving first integrals of ODES. Discrete and Continuous Dynamical Systems. 35: 2079-2098. doi: 10.3934/dcds.2015.35.2079

Celledoni, Elena; Sanz-Serna, Jesus Maria; Zanna, Antonella. 2014. Guest editors' preface. Discrete and Continuous Dynamical Systems. 34: i-ii. doi: 10.3934/dcds.2014.34.3i
Hodneland, Erlend; Hanson, Erik Andreas; Lundervold, Arvid; Modersitzki, Jan; Eikefjord, Eli Bjøvad; Zanna, Antonella. 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
Hodneland, Erlend; Lundervold, Arvid; Rørvik, Jarle; Munthe-Kaas, Antonella Zanna. 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
Hodneland, Erlend; Lundervold, Arvid; Rørvik, Jarle; Munthe-Kaas, Antonella Zanna. 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
Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella. 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
Xue, Huiyan; Zanna, Antonella. 2014. Generating functions and volume preserving mappings. Discrete and Continuous Dynamical Systems. 34: 1229-1249. doi: 10.3934/dcds.2014.34.1229

Hodneland, Erlend; Hanson, Erik Andreas; Lundervold, Arvid; Modersitzki, Jan; Munthe-Kaas, Antonella Zanna. 2013. Combined motion correction and segmentation of DCE-MRI kidney data. Acta Radiologica. 54: 7-8.
Schwinger, Eyram; Munthe-Kaas, Antonella Zanna. 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.
Xue, Huiyan; Zanna, Antonella. 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

Degani, Ilan; Zanna, Antonella. 2012. Optimal quantum control by an adapted coordinate Ascent algorithm. SIAM Journal on Scientific Computing. 34: A1488-A1521. doi: 10.1137/11082467X
Hodneland, Erlend; Ystad, Martin Andreas; Haász, Judit; Munthe-Kaas, Antonella Zanna; Lundervold, Arvid. 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
Zöllner, Frank Gerrit; Svarstad, Einar; Munthe-Kaas, Antonella Zanna; Schad, Lothar R.; Lundervold, Arvid; Rørvik, Jarle. 2012. Assessment of Kidney Volumes From MRI: Acquisition and Segmentation Techniques. American Journal of Roentgenology. 199: 1060-1069. doi: 10.2214/AJR.12.8657

Hodneland, Erlend; Kjørstad, Åsmund; Andersen, Erling; Monssen, Jan Anker; Lundervold, Arvid; Rørvik, Jarle; Munthe-Kaas, Antonella Zanna. 2011. In vivo estimation of glomerular filtration in the kidney using DCE-MRI. Image and Signal Processing and Analysis. 755-61.
Munthe-Kaas, Antonella Zanna; Xue, Huiyan. 2011. Recent advancements on explicit volume-preserving splitting methods. Oberwolfach Reports. 8: 847-848. doi: 10.4171/OWR/2011/16

Celledoni, Elena; Zanna, Antonella. 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

Anderlik, Andreea Maria; Zanna, Antonella; Øye, Ola Kristoffer; Eikefjord, Eli Nina; Rørvik, Jarle; Ulvang, Dag Magne; Zöllner, Frank Gerrit; Lundervold, Arvid. 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.
Degani, Ilan; Zanna, Antonella; Sælen, Lene; Nepstad, Raymond. 2009. QUANTUM CONTROL WITH PIECEWISE CONSTANT CONTROL FUNCTIONS. SIAM Journal on Scientific Computing. 31: 3566-3594. doi: 10.1137/080729839
Krogstad, Stein; Munthe-Kaas, Hans; Zanna, Antonella. 2009. Generalized polar coordinates on Lie groups and numerical integrators. Numerische Mathematik. 114: 161-187. doi: 10.1007/s00211-009-0255-1

Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella. 2008. Guest Editors' Preface. Foundations of Computational Mathematics. 8: 289-290. doi: 10.1007/s10208-007-9020-y
Mclachlan, Robert, i; Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella. 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
Zanna, Antonella. 2008. MR2358624 (2008m:70055). Mathematical Reviews.
Zanna, Antonella. 2008. MR2335372 (2008h:37083). Mathematical Reviews.
Zanna, Antonella. 2008. MR2317009 (2008e:37081). Mathematical Reviews.

Celledoni, Elena; Fasso, Francesco; Säfström, Niklas; Zanna, Antonella. 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

Hong, Jialin; Ying, Liu; Munthe-Kaas, Hans; Zanna, Antonella. 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.

Iserles, Arieh; Zanna, Antonella. 2005. Efficient computation of the matrix exponential by generalized polar decompositions. SIAM Journal on Numerical Analysis. 42: 2218-2256.
McLachan, Robert I.; Zanna, Antonella. 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

Zanna, Antonella. 2004. Recurrence relations and convergence theory of the generalized polar decomposition on Lie groups. Mathematics of Computation. 73: 761-776. doi: S 0025-5718(03)01602-8
Zanna, Antonella; Iserles, Arieh. 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

Zanna, Antonella. 2006. Issues in postgraduate supervision : a gender aspect. Program for læringsforskning, Universitetet i Bergen. 9 sider.

Bokkapitler

Munthe-Kaas, Antonella Zanna. 2011. Generalized polar decompositions in control. Artikkel, sider 123-134. I:
- Santana, Ana Paula. 2011. Textos de matemática : mathematical papers in honour of Fátima Silva Leite. ISBN: 978-972-8564-47-6.

Hodneland, Erlend; Ystad, Martin Andreas; Haasz, Judit; Munthe-Kaas, Antonella Zanna; Lundervold, Arvid. 2010. Automated workflow for spatial alignment of multimodal MR image acquisitions in a longitudinal study of cognitive aging. artikkel, sider 264-269. I:
- Mastorakis, N.; Mladenov, V.; Bojkovoc, Z. 2010. Latest Trends on Applied Mathematics, Simulation, Modelling. 274 sider. ISBN: 978-960-474-210-3.

Abrahamsen, T.; Finne, P. H.; Lægreid, L.; Munthe-Kaas, Antonella Zanna. 1996. Nervesystemets sykdommer. Kap. 10. I:
- Ek, Johan. 1996. Barnesykdommer. Universitetsforlaget. ISBN: 82-00-41572-4.

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"