Antonella Zanna's picture

Antonella Zanna

  • E-mailAntonella.Zanna@uib.no
  • Phone+47 55 58 48 57
  • Visitor Address
    Realfagbygget, Allégt. 41
  • Postal Address
    Postboks 7803
    5020 Bergen

Numerical Analysis/Geometric Integration

Image processing


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:

PhD Student:

Research associates:

  • Åsmund Kjørstad, image segmentation of the kidney
  • Erik Hanson, medical image processing
  • Aurora Campo, image processing for biology, stereological methods.


  • Ilan Degani (2006-2009), quantum control.
  • Erlend Hodneland (2010-2011), image registration.


Journal articles
  • 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
  • Hanson, Erik Andreas; Sævareid, Ove; Nævdal, Geir; Lundervold, Arvid; Solteszova, Veronika; Zanna, Antonella; Deistung, Andreas; Reichenbach, Jürgen; Nordbotten, Jan Martin. 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. doi: 10.1371/journal.pcbi.1007073
  • Zanna, Antonella; Owren, Brynjulf. 2019. Holmboeprisen 2018. Tangenten - tidsskrift for matematikkundervisning. 1. 11-12.
  • 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. Series A. 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 pages. 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. Published 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
Reports and theses
  • Zanna, Antonella. 2006. Issues in postgraduate supervision : a gender aspect. Program for læringsforskning, Universitetet i Bergen. 9 pages.
Book sections
  • Munthe-Kaas, Antonella Zanna. 2011. Generalized polar decompositions in control. Artikkel, pages 123-134. In:
    • 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, pages 264-269. In:
    • Mastorakis, N.; Mladenov, V.; Bojkovoc, Z. 2010. Latest Trends on Applied Mathematics, Simulation, Modelling. 274 pages. ISBN: 978-960-474-210-3.
  • Abrahamsen, T.; Finne, P. H.; Lægreid, L.; Munthe-Kaas, Antonella Zanna. 1996. Nervesystemets sykdommer. Kap. 10. In:
    • Ek, Johan. 1996. Barnesykdommer. Universitetsforlaget. ISBN: 82-00-41572-4.

More information in national current research information system (CRIStin)

Retrieve full list from MathSciNet (requires subscription).


NFR Frinatek no. 262203 “Flow based interpretation of Dynamic Contrast-Enhanced imaging” (2017-2021)


Ended projects:

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)