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07/28/2023
Uncertainty Quantification for Scale-Space Blob Detection
We consider the problem of blob detection for uncertain images, such as ...
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09/16/2022
Motion Detection in Diffraction Tomography by Common Circle Methods
The method of common lines is a well-established reconstruction techniqu...
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08/11/2022
Uncertainty-Aware Blob Detection with an Application to Integrated-Light Stellar Population Recoveries
Context. Blob detection is a common problem in astronomy. One example is...
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10/15/2021
Diffraction Tomography, Fourier Reconstruction, and Full Waveform Inversion
In this paper, we study the mathematical imaging problem of diffraction ...
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10/04/2021
Universal approximation properties of shallow quadratic neural networks
In this paper we propose a new class of neural network functions which a...
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04/22/2021
On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems
In this paper we show that ensemble Kalman inversion for linear inverse ...
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04/16/2021
Fourier reconstruction for diffraction tomography of an object rotated into arbitrary orientations
In this paper, we study the mathematical imaging problem of optical diff...
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03/26/2021
Challenges for Optical Flow Estimates in Elastography
In this paper, we consider visualization of displacement fields via opti...
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03/09/2021
Data driven reconstruction using frames and Riesz bases
We study the problem of regularization of inverse problems adopting a pu...
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08/17/2020
Displacement field estimation from OCT images utilizing speckle information with applications in quantitative elastography
In this paper, we consider the problem of estimating the internal displa...
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09/25/2019
Data driven regularization by projection
We demonstrate that regularisation by projection and variational regular...
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08/03/2019
The tangential cone condition for some coefficient identification model problems in parabolic PDEs
The tangential condition was introduced in [Hanke et al., 95] as a suffi...
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07/02/2019
Inverse Problems of Trapped Objects
Optical and acoustical trapping has been established as a tool for holdi...
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06/23/2016
Dynamical optical flow of saliency maps for predicting visual attention
Saliency maps are used to understand human attention and visual fixation...
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06/10/2015
Optical Flow on Evolving Sphere-Like Surfaces
In this work we consider optical flow on evolving Riemannian 2-manifolds...
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12/16/2013
Decomposition of Optical Flow on the Sphere
We propose a number of variational regularisation methods for the estima...
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10/01/2013
Optical Flow on Evolving Surfaces with Space and Time Regularisation
We extend the concept of optical flow with spatiotemporal regularisation...
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01/08/2013