2025
Equivariant Eikonal Neural Networks: Grid-Free, Scalable Travel-Time Prediction on Homogeneous Spaces.
CoRR, May, 2025
PDE-CNNs: Axiomatic Derivations and Applications.
J. Math. Imaging Vis., April, 2025
Universal Collection of Euclidean Invariants between Pairs of Position-Orientations.
CoRR, April, 2025
Orientation Scores should be a Piece of Cake.
CoRR, April, 2025
Optimal Transport on the Lie Group of Roto-translations.
SIAM J. Imaging Sci., 2025
Diffusion-Shock Filtering on the Space of Positions and Orientations.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2025
Entropic Optimal Transport with Data-Driven Metrics on the Roto-Translation Group.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2025
Crossing-Preserving Geodesic Tracking on Spherical Images.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2025
2024
Geodesic Tracking via New Data-Driven Connections of Cartan Type for Vascular Tree Tracking.
J. Math. Imaging Vis., April, 2024
Semiring Activation in Neural Networks.
CoRR, 2024
Segmentation tool for images of cracks.
CoRR, 2024
Deep Learning for Segmentation of Cracks in High-Resolution Images of Steel Bridges.
CoRR, 2024
2023
Analysis of (sub-)Riemannian PDE-G-CNNs.
J. Math. Imaging Vis., December, 2023
PDE-Based Group Equivariant Convolutional Neural Networks.
J. Math. Imaging Vis., January, 2023
Geodesic Tracking of Retinal Vascular Trees with Optical and TV-Flow Enhancement in SE(2).
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2023
Geometric Adaptations of PDE-G-CNNs.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2023
Functional Properties of PDE-Based Group Equivariant Convolutional Neural Networks.
Proceedings of the Geometric Science of Information - 6th International Conference, 2023
2021
Lesion Segmentation in Ultrasound Using Semi-Pixel-Wise Cycle Generative Adversarial Nets.
IEEE ACM Trans. Comput. Biol. Bioinform., 2021
Roto-translation equivariant convolutional networks: Application to histopathology image analysis.
Medical Image Anal., 2021
Total Variation and Mean Curvature PDEs on the Homogeneous Space of Positions and Orientations.
J. Math. Imaging Vis., 2021
Equivariant Deep Learning via Morphological and Linear Scale Space PDEs on the Space of Positions and Orientations.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2021
2019
Fourier Transform on the Homogeneous Space of 3D Positions and Orientations for Exact Solutions to Linear PDEs.
Entropy, 2019
Automated Segmentation of Lesions in Ultrasound Using Semi-pixel-wise Cycle Generative Adversarial Nets.
CoRR, 2019
Total Variation and Mean Curvature PDEs on the Space of Positions and Orientations.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2019
2018
Template Matching via Densities on the Roto-Translation Group.
IEEE Trans. Pattern Anal. Mach. Intell., 2018
Design and Processing of Invertible Orientation Scores of 3D Images.
J. Math. Imaging Vis., 2018
Optimal Paths for Variants of the 2D and 3D Reeds-Shepp Car with Applications in Image Analysis.
J. Math. Imaging Vis., 2018
Differential Geometry and Orientation Analysis in Image Processing.
J. Math. Imaging Vis., 2018
Roto-Translation Covariant Convolutional Networks for Medical Image Analysis.
Proceedings of the Medical Image Computing and Computer Assisted Intervention - MICCAI 2018, 2018
2017
Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in SO(3).
J. Math. Imaging Vis., 2017
Design and Processing of Invertible Orientation Scores of 3D Images for Enhancement of Complex Vasculature.
CoRR, 2017
Retrieving challenging vessel connections in retinal images by line co-occurrence statistics.
Biol. Cybern., 2017
The Hessian of Axially Symmetric Functions on SE(3) and Application in 3D Image Analysis.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2017
Vessel Tracking via Sub-Riemannian Geodesics on the Projective Line Bundle.
Proceedings of the Geometric Science of Information - Third International Conference, 2017
2016
Robust Retinal Vessel Segmentation via Locally Adaptive Derivative Frames in Orientation Scores.
IEEE Trans. Medical Imaging, 2016
Brain-inspired algorithms for retinal image analysis.
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Mach. Vis. Appl., 2016
Locally Adaptive Frames in the Roto-Translation Group and Their Applications in Medical Imaging.
J. Math. Imaging Vis., 2016
Template Matching on the Roto-Translation Group.
CoRR, 2016
2015
A PDE Approach to Data-Driven Sub-Riemannian Geodesics in SE(2).
SIAM J. Imaging Sci., 2015
Improving Fiber Alignment in HARDI by Combining Contextual PDE Flow with Constrained Spherical Deconvolution.
CoRR, 2015
New Approximation of a Scale Space Kernel on SE(3) and Applications in Neuroimaging.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2015
Invertible Orientation Scores of 3D Images.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2015
Data-Driven Sub-Riemannian Geodesics in SE(2).
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2015
Sub-Riemannian Fast Marching in SE(2).
Proceedings of the Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications, 2015
Contextual Diffusion Image Post-processing Aids Clinical Applications.
Proceedings of the Visualization and Processing of Higher Order Descriptors for Multi-Valued Data, 2015
2014
Association Fields via Cuspless Sub-Riemannian Geodesics in SE(2).
J. Math. Imaging Vis., 2014
A Multi-Orientation Analysis Approach to Retinal Vessel Tracking.
J. Math. Imaging Vis., 2014
Numerical Approaches for Linear Left-invariant Diffusions on SE(2), their Comparison to Exact Solutions, and their Applications in Retinal Imaging.
CoRR, 2014
Vesselness via Multiple Scale Orientation Scores.
CoRR, 2014
Crossing-Preserving Multi-scale Vesselness.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention - MICCAI 2014, 2014
Optic Nerve Head Detection via Group Correlations in Multi-orientation Transforms.
Proceedings of the Image Analysis and Recognition - 11th International Conference, 2014
Training of Templates for Object Recognition in Invertible Orientation Scores: Application to Optic Nerve Head Detection in Retinal Images.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2014
Sharpening Fibers in Diffusion Weighted MRI via Erosion.
Proceedings of the Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data, 2014
2013
Erratum to: Morphological and Linear Scale Spaces for Fiber Enhancement in DW-MRI.
J. Math. Imaging Vis., 2013
Morphological and Linear Scale Spaces for Fiber Enhancement in DW-MRI.
J. Math. Imaging Vis., 2013
Direct Myocardial Strain Assessment from Frequency Estimation in Tagging MRI.
Proceedings of the Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges, 2013
Myocardial Deformation from Local Frequency Estimation in Tagging MRI.
Proceedings of the Functional Imaging and Modeling of the Heart, 2013
2012
A New Retinal Vessel Tracking Method Based on Orientation Scores
CoRR, 2012
Optimal control for reconstruction of curves without cusps.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012
Left Invariant Evolution Equations on Gabor Transforms.
Proceedings of the Mathematical Methods for Signal and Image Analysis and Representation, 2012
2011
Left-Invariant Diffusions on the Space of Positions and Orientations and their Application to Crossing-Preserving Smoothing of HARDI images.
Int. J. Comput. Vis., 2011
Fiber Enhancement in Diffusion-Weighted MRI.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011
Numerical Schemes for Linear and Non-linear Enhancement of DW-MRI.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011
Cardiac Motion Estimation Using Covariant Derivatives and Helmholtz Decomposition.
Proceedings of the Statistical Atlases and Computational Models of the Heart. Imaging and Modelling Challenges, 2011
2010
Accelerated Diffusion Operators for Enhancing DW-MRI.
Proceedings of the Eurographics Workshop on Visual Computing for Biomedicine, 2010
A Sobolev Norm Based Distance Measure for HARDI Clustering - A Feasibility Study on Phantom and Real Data.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention, 2010
2009
Linear Image Reconstruction by Sobolev Norms on the Bounded Domain.
Int. J. Comput. Vis., 2009
Crossing-Preserving Coherence-Enhancing Diffusion on Invertible Orientation Scores.
Int. J. Comput. Vis., 2009
Coarse-to-Fine Image Reconstruction Based on Weighted Differential Features and Background Gauge Fields.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009
Scale Spaces on the 3D Euclidean Motion Group for Enhancement of HARDI Data.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009
Line Enhancement and Completion via Linear Left Invariant Scale Spaces on SE(2).
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009
2007
Image Analysis and Reconstruction using a Wavelet Transform Constructed from a Reducible Representation of the Euclidean Motion Group.
Int. J. Comput. Vis., 2007
Linear Image Reconstruction by Sobolev Norms on the Bounded Domain.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007
Nonlinear Diffusion on the 2D Euclidean Motion Group.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007
Scale Spaces on Lie Groups.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007
Curvature Estimation for Enhancement of Crossing Curves.
Proceedings of the IEEE 11th International Conference on Computer Vision, 2007
2006
A Linear Image Reconstruction Framework Based on Sobolev Type Inner Products.
Int. J. Comput. Vis., 2006
Optic Flow from Multi-scale Dynamic Anchor Point Attributes.
Proceedings of the Image Analysis and Recognition, Third International Conference, 2006
Towards a New Paradigm for Motion Extraction.
Proceedings of the Image Analysis and Recognition, Third International Conference, 2006
2005
The Monogenic Scale Space on a Rectangular Domain and its Features.
Int. J. Comput. Vis., 2005
On alpha Kernels, Lévy Processes, and Natural Image Statistics.
Proceedings of the Scale Space and PDE Methods in Computer Vision, 2005
On Image Reconstruction from Multiscale Top Points.
Proceedings of the Scale Space and PDE Methods in Computer Vision, 2005
A Comparison of the Deep Structure of <i>alpha</i>-Scale Spaces.
Proceedings of the Deep Structure, 2005
Linear Image Reconstruction from a Sparse Set of <i>alpha</i>-Scale Space Features by Means of Inner Products of Sobolev Type.
Proceedings of the Deep Structure, 2005
From Stochastic Completion Fields to Tensor Voting.
Proceedings of the Deep Structure, 2005
2004
On the Axioms of Scale Space Theory.
J. Math. Imaging Vis., 2004
Tikhonov regularization versus scale space: A new result.
Proceedings of the 2004 International Conference on Image Processing, 2004
2003
Regularity Classes for Locally Orderless Images.
Proceedings of the Scale Space Methods in Computer Vision, 4th International Conference, 2003
The Monogenic Scale Space on a Bounded Domain and Its Applications.
Proceedings of the Scale Space Methods in Computer Vision, 4th International Conference, 2003
alpha Scale Spaces on a Bounded Domain.
Proceedings of the Scale Space Methods in Computer Vision, 4th International Conference, 2003