- E-postAntonella.Zanna@uib.no
- Telefon+47 55 58 48 57+47 930 26 273
- BesøksadresseRealfagbyggetRom4A8B
- PostadressePostboks 78035020 Bergen
Min hovedforskningsinteresse er i numeriske metoder for difflikninger. Jeg er spesielt interessert i metoder som bevarer underliggende geometriske egenskaper (f.eks. symplektiske metoder og volumbevarende metoder).
Jeg er også interessert i tverrfaglig bruk av matematikk og numerikk, spesielt rettet mot medisinske anvendelser, f.eks. bildeanalyse og modellering av fysiologiske prosesser eller maskinlæring for bildeanalyse og diagnostikk.
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:
- Sjur Kvammen (2006) Geometric Integration Methods for Denoising Tensor-valued Images , University of Bergen
- Kristin Eik (2008) Om fluidregistrering for medisinske bilete , University of Bergen
- Eyram Schwinger (2009) Renal Function Estimation using Magnetic Resonance Images, University of Bergen
- Gleb Berdnikov (2011) Image registration with volume constraints, University of Bergen
- Jon Nyfløtt, (2011) "Comparison of distance measures in multimodal image registration", University of Bergen
- 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, (2019), Convolutional Neural Networks for Malaria Detection, University of Bergen
- Fredrick Pfeil, (2019), A higher order IMEX for highly oscillatory differential equations, University of Bergen
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.
MAT292projects:
- 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
Vitenskapelig artikkel
- 2021. Automated segmentation of endometrial cancer on MR images using deep learning. Scientific Reports.
- 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 sider.
- 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.
Rapport
- 2006. Issues in postgraduate supervision : a gender aspect. .
Faglig foredrag
- 2019. UHT-MNT Fagorgan i matematikk og Norsk matematikkråd.
- 2018. Flow based interpretation of dynamical contrast enhanced data.
- 2017. Erfaring med Canvas/MittUiB og integrering av eksterne programmvarer.
- 2014. Symmetries and reversing symmetries in differential equations and linear algebra.
Populærvitenskapelig foredrag
- 2008. Image registration by matrix Lie group actions.
Vitenskapelig foredrag
- 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.
Leder
- 2014. Guest editors' preface. Discrete and Continuous Dynamical Systems. Series A. i-ii.
- 2008. Guest Editors' Preface. Foundations of Computational Mathematics. 289-290.
Anmeldelse
- 2008. MR2358624 (2008m:70055). Mathematical Reviews.
- 2008. MR2335372 (2008h:37083). Mathematical Reviews.
- 2008. MR2317009 (2008e:37081). Mathematical Reviews.
Mastergradsoppgave
- 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.
Populærvitenskapelig artikkel
- 2019. Holmboeprisen 2018. Tangenten - Tidsskrift for matematikkundervisning. 11-12.
Doktorgradsavhandling
- 2013. Volume preserving numerical integrators for ordinary differential equations.
Intervju
- 2009. Det digitale mørkerommet.
Programdeltagelse
- 2008. Lønner seg å løpe eller gå i regnet?
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
- 2011. Generalized polar decompositions in control. 12 sider.
- 2010. Automated workflow for spatial alignment of multimodal MR image acquisitions in a longitudinal study of cognitive aging. 6 sider.
Sammendrag/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.
Vitenskapelig oversiktsartikkel/review
- 2012. Assessment of Kidney Volumes From MRI: Acquisition and Segmentation Techniques. American Journal of Roentgenology. 1060-1069.
Nettsider (opplysningsmateriale)
- 2009. Matematikk i julen: polyedere og stjerner.
Fagartikkel
- 2019. Symplectic P-stable Additive Runge--Kutta Methods. arXiv.org.
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"