
Currents and Kfunctions for Fiber Point Processes
Analysis of images of sets of fibers such as myelin sheaths or skeletal ...
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Atlas Generative Models and Geodesic Interpolation
Generative neural networks have a well recognized ability to estimate un...
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Geometry of Sample Spaces
In statistics, independent, identically distributed random samples do no...
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Diffusion bridges for stochastic Hamiltonian systems with applications to shape analysis
Stochastically evolving geometric systems are studied in geometric mecha...
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Horizontal Flows and Manifold Stochastics in Geometric Deep Learning
We introduce two constructions in geometric deep learning for 1) transpo...
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Generalizations of Ripley's Kfunction with Application to Space Curves
The intensity function and Ripley's Kfunction have been used extensivel...
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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...
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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 ...
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PADDIT: Probabilistic Augmentation of Data using Diffeomorphic Image Transformation
For proper generalization performance of convolutional neural networks (...
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Latent Space NonLinear Statistics
Given data, deep generative models, such as variational autoencoders (VA...
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String Methods for Stochastic Image and Shape Matching
Matching of images and analysis of shape differences is traditionally pu...
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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...
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Differential geometry and stochastic dynamics with deep learning numerics
In this paper, we demonstrate how deterministic and stochastic dynamics ...
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Stochastic metamorphosis with template uncertainties
In this paper, we investigate two stochastic perturbations of the metamo...
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Computational Anatomy in Theano
To model deformation of anatomical shapes, nonlinear statistics are req...
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Bridge Simulation and Metric Estimation on Landmark Manifolds
We present an inference algorithm and connected Monte Carlo based estima...
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A Geometric Framework for Stochastic Shape Analysis
We introduce a stochastic model of diffeomorphisms, whose action on a va...
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Stochastic Development Regression on NonLinear Manifolds
We introduce a regression model for data on nonlinear manifolds. The mo...
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A Stochastic Large Deformation Model for Computational Anatomy
In the study of shapes of human organs using computational anatomy, vari...
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Most Likely Separation of Intensity and Warping Effects in Image Registration
This paper introduces a class of mixedeffects models for joint modeling...
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Symmetry in Image Registration and Deformation Modeling
We survey the role of symmetry in diffeomorphic registration of landmark...
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Higherorder Spatial Accuracy in Diffeomorphic Image Registration
We discretize a cost functional for image registration problems by deriv...
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HigherOrder Momentum Distributions and Locally Affine LDDMM Registration
To achieve sparse parametrizations that allows intuitive analysis, we ai...
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Stefan Sommer
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Professor, Department of Computer Science, University of Copenhagen