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Antonella Zanna

Head of Department
  • E-mailAntonella.Zanna@uib.no
  • Phone+47 55 58 48 57+47 930 26 273
  • Visitor Address
    Realfagbygget, Allégt. 41
    Room 
    4Ab8
  • Postal Address
    Postboks 7803
    5020 Bergen

My main research field is in the numerical analysis of differential equations, in particular I am interested in the development of numerical methods that preserve underlying geometrical structures of the equations (geometric integration), like symplecticity or volume preservation.

I am also interested in the application of mathematics to interdisciplinary projects, especially towards medicine. I have established project collaborations with medicine on image processing and image analysis projects, modelling of physiological processes, use of machine learning in image analysis and as a diagnostic tool.

 

MAT121(Lineær algebra/Linear algebra)

MNF130(Diskrete strukturar/Discrete mathematics)

MAT160(Beregningsalgoritmer/Numerical analysis 1)

MAT213(Funkskjonsteori/Complex analysis)

MAT251(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.

Postdocs:

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

MAT292projects:

Academic article
  • 2019. Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments . Lecture Notes in Computational Science and Engineering. 66-82.
  • 2019. Efficient Computation of Hessian Matrices in TensorFlow . arXiv.org.
  • 2019. Chains of rigid bodies and their numerical simulation by local frame methods. Journal of Computational Dynamics. 260-278.
  • 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. 1-31.
  • 2017. Some integrability properties of the Kahan method. AIP Conference Proceedings.
  • 2016. Physical models for simulation and reconstruction of human tissue deformation fields in dynamic MRI. IEEE Transactions on Biomedical Engineering. 2200-2210.
  • 2016. A classification of volume preserving generating forms in R^3. Discrete and Continuous Dynamical Systems. Series A. 2285-2303.
  • 2015. Projection methods and discrete gradient methods for preserving first integrals of ODES. Discrete and Continuous Dynamical Systems. Series A. 2079-2098.
  • 2014. Symmetric spaces and Lie triple systems in numerical analysis of differential equations. BIT Numerical Mathematics. 257-282.
  • 2014. Segmentation-driven image registration-application to 4D DCE-MRI recordings of the moving kidneys. IEEE Transactions on Image Processing. 2392-2404.
  • 2014. Normalized gradient fields for nonlinear motion correction of DCE-MRI time series. Computerized Medical Imaging and Graphics. 202-210.
  • 2014. Normalized gradient fields and mutual information for motion correction of DCE-MRI images. Image and Signal Processing and Analysis. 202-210.
  • 2014. Generating functions and volume preserving mappings. Discrete and Continuous Dynamical Systems. Series A. 1229-1249.
  • 2013. Explicit volume-preserving splitting methods for polynomial divergence-free vector fields. BIT Numerical Mathematics. 265-281.
  • 2013. Comparative analysis of various thresholding techniques on TerraSAR-X images in the presence of speckle noise. Image and Signal Processing and Analysis. 36-42.
  • 2012. Optimal quantum control by an adapted coordinate Ascent algorithm. SIAM Journal on Scientific Computing. A1488-A1521.
  • 2012. Automated approaches for analysis of multimodal MRI acquisitions in a study of cognitive aging. Computer Methods and Programs in Biomedicine. 328-341.
  • 2011. In vivo estimation of glomerular filtration in the kidney using DCE-MRI. Image and Signal Processing and Analysis. 755-61.
  • 2010. Algorithm 903: FRB-Fortran Routines for the Exact Computation of Free Rigid Body Motions. ACM Transactions on Mathematical Software. 24 pages.
  • 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. 3566-3594.
  • 2009. Generalized polar coordinates on Lie groups and numerical integrators. Numerische Mathematik. 161-187.
  • 2008. Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. Foundations of Computational Mathematics. 335-355.
  • 2007. The exact computation of the free rigid body motion and its use in splitting methods. SIAM Journal on Scientific Computing. 2084-2112.
  • 2006. Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients. Applied Numerical Mathematics. 814-843.
  • 2005. The discrete Moser-Veselov algorithm for the free rigid body, revisited. Foundations of Computational Mathematics. 87-123.
  • 2005. Efficient computation of the matrix exponential by generalized polar decompositions. SIAM Journal on Numerical Analysis. 2218-2256.
  • 2004. Recurrence relations and convergence theory of the generalized polar decomposition on Lie groups. Mathematics of Computation. 761-776.
  • 2004. On the Spectra of Certain Matrices Generated by Involutory Automorphisms. SIAM Journal on Matrix Analysis and Applications. 1110-1123.
Report
  • 2006. Issues in postgraduate supervision : a gender aspect. .
Lecture
  • 2019. UHT-MNT Fagorgan i matematikk og Norsk matematikkråd.
  • 2018. Flow based interpretation of dynamical contrast enhanced data.
  • 2017. Experience with Canvas/MittUib and integration with external tools.
  • 2014. Symmetries and reversing symmetries in differential equations and linear algebra.
Popular scientific lecture
  • 2008. Image registration by matrix Lie group actions.
Academic lecture
  • 2020. Nye metoder for distribuert og data-drevet simulering av blodstrøm i hjernen.
  • 2019. On the construction of some symplectic P-stable additive Runge—Kutta methods.
  • 2019. Mathematics and Medicine. Some interdisciplinary projects at the University of Bergen.
  • 2019. A study of blood flow regulation on collateral circulation using multiscale flow model.
  • 2019. A multi-scale flow model for studying blood circulation in the vascular system.
  • 2018. A family of modified trigonometric integrators for highly oscillatory problems with good geometric properties.
  • 2017. Mathematics & Medicine - how mathematics, modelling and simulation can lead to better diagnosis and treatment.
  • 2017. A modified trigonometric integrator for highly oscillatory problems.
  • 2017. A family of modified trigonometric integrators for highly oscillatory problems with good geometric properties.
  • 2014. Testing explicit volume-preserving methods: Quasi-Geostrophic flows.
  • 2014. On a problem in quantum control.
  • 2014. On a problem in quantum control.
  • 2013. Volume preserving numerical methods and generating forms.
  • 2013. Symmetric spaces and Lie triple systems in numerical analysis of differential equations.
  • 2013. Some new insight in volume preserving forms and divergence free differential equations.
  • 2013. Normalized gradient fields and mutual information for motion correction of DCE-MRI images.
  • 2013. Model based perfusion/filtration of the kidney.
  • 2013. Generating forms and volume preserving numerical integrators.
  • 2013. Comparative Analysis of Various Thresholding Techniques on TerraSAR-X Images in the Presence of Speckle Noise.
  • 2013. An introduction to image registration.
  • 2011. Testing explicit volume-preserving splitting methods: Quasi-Geostrophic equations.
  • 2011. Recent advancements on explicit volume-preserving splitting methods.
  • 2011. Recent advancements on explicit volume-preserving splitting methods.
  • 2011. MR perfusion imaging of the kidney.
  • 2011. In vivo estimation of glomerular filtration in the kidney using DCE-MRI.
  • 2010. Generalized polar decompositions in control.
  • 2010. Generalized Polar coordinates in Control.
  • 2010. Explicit volume-preserving splitting methods II: the case of trigonometric polynomials and tensor-product bases.
  • 2010. Explicit volume-preserving methods for divergence-free vector fields: basis tensor product.
  • 2010. Explicit volume preserving splitting methods for divergence-free vectorfields: Laurent polynomials.
  • 2009. Quantitative assessment of kidney function using dynamic contrast enhanced MRI – Steps towards an integrated software prototype.
  • 2009. Issues in quantum computing.
  • 2009. Generalized polar coordinates on Lie groups.
  • 2008. Image registration by matrix group transformations.
  • 2008. Control and efficient simulation of quantum dynamics.
  • 2008. Control and efficient simulation of quantum dynamics.
  • 2008. Control and efficient simulation of quantum dynamics.
  • 2008. Control and efficient simulation of quantum dynamics.
  • 2008. Control and efficient simulation of quantum dynamics.
  • 2008. Control and efficient simulation of quantum dynamics.
  • 2008. A phantom model for testing registration in kidney perfusion analysis.
  • 2007. On the exact integration of Rigid Body equations.
  • 2007. Lie group methods: where are we heading next?
  • 2007. Exact and approximate methods for the free rigid body.
  • 2006. Volume preserving splitting methods for divergence free vector fields.
  • 2006. On the integration of the attitude matrix for the rigid body.
  • 2006. Geometric methods in diffusion tensor imaging of the brain.
  • 2006. Explicit, volume preserving splitting methods for divergence-free polynomial vector fields.
  • 2006. Explicit volume preserving methods for divergence-free polynomial vector fields.
  • 2004. The discrete Moser--Veselov algorithm for the rigid body.
  • 2004. The Moser--Veselov algorithm for the free rigid body, revisited.
Editorial
  • 2014. Guest editors' preface. Discrete and Continuous Dynamical Systems. Series A. i-ii.
  • 2008. Guest Editors' Preface. Foundations of Computational Mathematics. 289-290.
Book review
  • 2008. MR2358624 (2008m:70055). Mathematical Reviews.
  • 2008. MR2335372 (2008h:37083). Mathematical Reviews.
  • 2008. MR2317009 (2008e:37081). Mathematical Reviews.
Masters thesis
  • 2019. Convolutional Neural Networks for Malaria Detection.
  • 2018. Lagrangian dynamics for solid multi-body systems with the Moving Frame formalism.
  • 2011. Image Registration with Volume Constraints.
  • 2011. Comparison of distance measures in Multimodal registration of medical images.
Popular scientific article
  • 2019. Holmboeprisen 2018. Tangenten - Tidsskrift for matematikkundervisning. 11-12.
Doctoral dissertation
  • 2013. Volume preserving numerical integrators for ordinary differential equations.
Interview
  • 2009. Det digitale mørkerommet.
Programme participation
  • 2008. Lønner seg å løpe eller gå i regnet?
Academic chapter/article/Conference paper
  • 2011. Generalized polar decompositions in control. 12 pages.
  • 2010. Automated workflow for spatial alignment of multimodal MR image acquisitions in a longitudinal study of cognitive aging. 6 pages.
Abstract
  • 2013. Combined motion correction and segmentation of DCE-MRI kidney data. Acta Radiologica. 7-8.
  • 2011. Recent advancements on explicit volume-preserving splitting methods. Oberwolfach Reports. 847-848.
Poster
  • 2019. Fractal vascular structure optimization based on a multi-scale blood flow model.
  • 2014. Poroelastic regularization of image registration.
  • 2011. Segmentation and reconstruction of neurons for simulation of signal transmission.
  • 2011. Normalized gradient fields for multimodal image registration between DT-MRI and 3D T1-weighted MRI.
  • 2009. MRI kidney - Quantitative assessment of kidney function using DCE-MRI.
  • 2009. Integrated software prototype for medical image processing.
  • 2008. Functional kidney imaging In silico – a framework for studying motion correction and pharmacokinetics.
Academic literature review
  • 2012. Assessment of Kidney Volumes From MRI: Acquisition and Segmentation Techniques. 1060-1069.
Website (informational material)
  • 2009. Matematikk i julen: polyedere og stjerner.
Article in business/trade/industry journal
  • 2019. Symplectic P-stable Additive Runge--Kutta Methods. arXiv.org.

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)