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Geometry and Computational Anatomy

Total Cost €


EC-Contrib. €






 GEOCA project word cloud

Explore the words cloud of the GEOCA project. It provides you a very rough idea of what is the project "GEOCA" about.

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Project "GEOCA" data sheet

The following table provides information about the project.


Organization address
address: -
postcode: 41296

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Sweden [SE]
 Project website
 Total cost 185˙857 €
 EC max contribution 185˙857 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2014
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2015
 Duration (year-month-day) from 2015-03-01   to  2017-06-15


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 


 Project objective

The past decades have brought fascinating technological improvements of medical imaging techniques. This rapid development is accompanied by a growing need for computer based algorithms to align and extract markers from medical images. The days of heuristically engineered computer algorithms are, however, over; competitive, state-of-the-art medical imaging software must be based on rigorous mathematics to ensure accuracy, efficiency, and stability.

Our research project lies at the forefront of computational anatomy (CA), a truly interdisciplinary field within medical imaging, combining differential equations theory, numerical analysis, computer vision, statistical methods, and differential geometry. CA is an emerging field that harbours a wealth of challenging problems. In particular, to develop image registration algorithms capable of handling heavily nonlinear deformations. In this project we construct image registration algorithms beyond state-of-the-art, adept of tasks where today's methods are inadequate. This is achieved by combining the knowledge of Professor Stig Larsson (scientist in charge) with the knowledge of Dr Klas Modin (experienced researcher).

Larsson is a world-leading expert on numerical methods for partial differential equations. He has a large network of international collaborators as well as close connections to the medical imaging industry in Sweden.

Modin has extensive expertise on geometric integration (GI), infinite-dimensional geometry, and CA, acquired via two post-doctoral positions at top research groups in two third countries. He thus brings state-of-the-art knowledge to the European research area. In particular, Modin's mastery of large deformation diffeomorphic metric matching (LDDMM) and Euler--Arnold equations is essential; it provides the link between image registration and PDEs. This link is the basis of the new, exciting methodology in the project: to apply state-of-the-art numerical PDE techniques to image registration.


year authors and title journal last update
List of publications.
2017 M. Bauer, S. Joshi, K. Modin
Diffeomorphic random sampling using optimal information transport
published pages: , ISSN: , DOI:
3rd conference on Geometric Science of Information (GSI2017) 2019-07-24
2017 Martin Bauer, Sarang Joshi, Klas Modin
On geodesic completeness for Riemannian metrics on smooth probability densities
published pages: , ISSN: 0944-2669, DOI: 10.1007/s00526-017-1195-8
Calculus of Variations and Partial Differential Equations 56/4 2019-07-24
2015 Martin Bauer, Sarang Joshi, and Klas Modin
Weighted Diffeomorphic Density Matching with Applications to Thoracic Image Registration
published pages: , ISSN: , DOI:
Proc. 5th MICCAI Workshop on Mathematical Foundations of Computational Anatomy (MFCA) 2019-07-24
2016 Robert I McLachlan, Klas Modin, Olivier Verdier
Symmetry reduction for central force problems
published pages: 55003, ISSN: 0143-0807, DOI: 10.1088/0143-0807/37/5/055003
European Journal of Physics 37/5 2019-07-24
2017 J. Benn, S. Marsland, R. McLachlan, K. Modin, O. Verdier
Currents and finite elements as tools for shape space
published pages: , ISSN: , DOI:
Preprint (currently under peer-review) 2019-07-24
2015 Martin Bauer, Sarang Joshi, Klas Modin
Diffeomorphic Density Matching by Optimal Information Transport
published pages: 1718-1751, ISSN: 1936-4954, DOI: 10.1137/151006238
SIAM Journal on Imaging Sciences 8/3 2019-07-24
2016 S. Larsson, T. Matsuo, K. Modin, M. Molteni
Discrete Variational Derivative Methods for the EPDiff Equation
published pages: , ISSN: , DOI:
Preprint (currently inder peer-review) 2019-07-24

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The information about "GEOCA" are provided by the European Opendata Portal: CORDIS opendata.

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