Stefan Sommer

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Københavns Uni

Professor, Department of Computer Science, University of Copenhagen

Currents and K-functions for Fiber Point Processes

Analysis of images of sets of fibers such as myelin sheaths or skeletal ...
02/10/2021 ∙ by Pernille EH. Hansen, et al. ∙ 0 ∙ share

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Atlas Generative Models and Geodesic Interpolation

Generative neural networks have a well recognized ability to estimate un...
01/30/2021 ∙ by Jakob Stolberg-Larsen, et al. ∙ 0 ∙ share

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Geometry of Sample Spaces

In statistics, independent, identically distributed random samples do no...
10/15/2020 ∙ by Philipp Harms, et al. ∙ 0 ∙ share

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Diffusion bridges for stochastic Hamiltonian systems with applications to shape analysis

Stochastically evolving geometric systems are studied in geometric mecha...
02/03/2020 ∙ by Alexis Arnaudon, et al. ∙ 14 ∙ share

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Horizontal Flows and Manifold Stochastics in Geometric Deep Learning

We introduce two constructions in geometric deep learning for 1) transpo...
09/13/2019 ∙ by Stefan Sommer, et al. ∙ 6 ∙ share

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Generalizations of Ripley's K-function with Application to Space Curves

The intensity function and Ripley's K-function have been used extensivel...
12/17/2018 ∙ by Jon Sporring, et al. ∙ 0 ∙ share

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Stochastic Image Deformation in Frequency Domain and Parameter Estimation using Moment Evolutions

Modelling deformation of anatomical objects observed in medical images c...
12/13/2018 ∙ by Line Kuhnel, et al. ∙ 2 ∙ share

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An Average of the Human Ear Canal: Recovering Acoustical Properties via Shape Analysis

Humans are highly dependent on the ability to process audio in order to ...
11/09/2018 ∙ by Sune Darkner, et al. ∙ 2 ∙ share

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PADDIT: Probabilistic Augmentation of Data using Diffeomorphic Image Transformation

For proper generalization performance of convolutional neural networks (...
10/03/2018 ∙ by Mauricio Orbes-Arteaga, et al. ∙ 4 ∙ share

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Latent Space Non-Linear Statistics

Given data, deep generative models, such as variational autoencoders (VA...
05/19/2018 ∙ by Line Kuhnel, et al. ∙ 0 ∙ share

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String Methods for Stochastic Image and Shape Matching

Matching of images and analysis of shape differences is traditionally pu...
05/15/2018 ∙ by Alexis Arnaudon, et al. ∙ 6 ∙ share

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An Infinitesimal Probabilistic Model for Principal Component Analysis of Manifold Valued Data

We provide a probabilistic and infinitesimal view of how the principal c...
01/31/2018 ∙ by Stefan Sommer, et al. ∙ 0 ∙ share

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Differential geometry and stochastic dynamics with deep learning numerics

In this paper, we demonstrate how deterministic and stochastic dynamics ...
12/22/2017 ∙ by Line Kuhnel, et al. ∙ 0 ∙ share

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Stochastic metamorphosis with template uncertainties

In this paper, we investigate two stochastic perturbations of the metamo...
11/20/2017 ∙ by Alexis Arnaudon, et al. ∙ 0 ∙ share

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Computational Anatomy in Theano

To model deformation of anatomical shapes, non-linear statistics are req...
06/15/2017 ∙ by Line Kuhnel, et al. ∙ 0 ∙ share

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Bridge Simulation and Metric Estimation on Landmark Manifolds

We present an inference algorithm and connected Monte Carlo based estima...
05/31/2017 ∙ by Stefan Sommer, et al. ∙ 0 ∙ share

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A Geometric Framework for Stochastic Shape Analysis

We introduce a stochastic model of diffeomorphisms, whose action on a va...
03/29/2017 ∙ by Alexis Arnaudon, et al. ∙ 0 ∙ share

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Stochastic Development Regression on Non-Linear Manifolds

We introduce a regression model for data on non-linear manifolds. The mo...
03/01/2017 ∙ by Line Kuhnel, et al. ∙ 0 ∙ share

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A Stochastic Large Deformation Model for Computational Anatomy

In the study of shapes of human organs using computational anatomy, vari...
12/16/2016 ∙ by Alexis Arnaudon, et al. ∙ 0 ∙ share

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Most Likely Separation of Intensity and Warping Effects in Image Registration

This paper introduces a class of mixed-effects models for joint modeling...
04/18/2016 ∙ by Line Kuhnel, et al. ∙ 0 ∙ share

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Symmetry in Image Registration and Deformation Modeling

We survey the role of symmetry in diffeomorphic registration of landmark...
12/23/2014 ∙ by Stefan Sommer, et al. ∙ 0 ∙ share

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Higher-order Spatial Accuracy in Diffeomorphic Image Registration

We discretize a cost functional for image registration problems by deriv...
12/23/2014 ∙ by Henry O. Jacobs, et al. ∙ 0 ∙ share

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Higher-Order Momentum Distributions and Locally Affine LDDMM Registration

To achieve sparse parametrizations that allows intuitive analysis, we ai...
12/14/2011 ∙ by Stefan Sommer, et al. ∙ 0 ∙ share

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Stefan Sommer

Featured Co-authors

Sébastien Ourselin

Alex Bronstein

Christian Igel

Marc Modat

Akshay Pai

Mads Nielsen

Frank van der Meulen

Moritz Schauer

Lauge Sørensen

Xavier Pennec

Alexis Arnaudon

Currents and K-functions for Fiber Point Processes

Atlas Generative Models and Geodesic Interpolation

Geometry of Sample Spaces

Diffusion bridges for stochastic Hamiltonian systems with applications to shape analysis

Horizontal Flows and Manifold Stochastics in Geometric Deep Learning

Generalizations of Ripley's K-function with Application to Space Curves

Stochastic Image Deformation in Frequency Domain and Parameter Estimation using Moment Evolutions

An Average of the Human Ear Canal: Recovering Acoustical Properties via Shape Analysis

PADDIT: Probabilistic Augmentation of Data using Diffeomorphic Image Transformation

Latent Space Non-Linear Statistics

String Methods for Stochastic Image and Shape Matching

An Infinitesimal Probabilistic Model for Principal Component Analysis of Manifold Valued Data

Differential geometry and stochastic dynamics with deep learning numerics

Stochastic metamorphosis with template uncertainties

Computational Anatomy in Theano

Bridge Simulation and Metric Estimation on Landmark Manifolds

A Geometric Framework for Stochastic Shape Analysis

Stochastic Development Regression on Non-Linear Manifolds

A Stochastic Large Deformation Model for Computational Anatomy

Most Likely Separation of Intensity and Warping Effects in Image Registration

Symmetry in Image Registration and Deformation Modeling

Higher-order Spatial Accuracy in Diffeomorphic Image Registration

Higher-Order Momentum Distributions and Locally Affine LDDMM Registration