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Unsupervised registration strategies bypass requirements in ground truth transforms or segmentations by optimising similarity metrics between fixed and moved volumes. Among these methods, a recent subclass of approaches based on…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Benjamin Billot , Ramya Muthukrishnan , Esra Abaci-Turk , P. Ellen Grant , Nicholas Ayache , Hervé Delingette , Polina Golland

We consider the problem of designing efficient regularization algorithms when regularization is encoded by a (strongly) convex functional. Unlike classical penalization methods based on a relaxation approach, we propose an iterative method…

Optimization and Control · Mathematics 2017-07-19 Simon Matet , Lorenzo Rosasco , Silvia Villa , Bang Long Vu

Obtaining a faithful source intensity distribution map of the sky from noisy data demands incorporating known information of the expected signal, especially when the signal is weak compared to the noise. We introduce a widely used procedure…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Sambit Panda , Swetha Bhagwat , Jishnu Suresh , Sanjit Mitra

Recovering a signal from its Fourier intensity underlies many important applications, including lensless imaging and imaging through scattering media. Conventional algorithms for retrieving the phase suffer when noise is present but display…

Image and Video Processing · Electrical Eng. & Systems 2020-03-05 Yaotian Wang , Xiaohang Sun , Jason W. Fleischer

We propose a new iterative unfolding method for experimental data, making use of a regularization function. The use of this function allows one to build an improved normalization procedure for Monte Carlo spectra, unbiased by the presence…

Data Analysis, Statistics and Probability · Physics 2009-07-23 Bogdan Malaescu

Medical image slice interpolation is an active field of research. The methods for this task can be categorized into two broad groups: intensity-based and object-based interpolation methods. While intensity-based methods are generally easier…

Image and Video Processing · Electrical Eng. & Systems 2020-04-30 Dilip Kumar Verma , Ahmadreza Baghaie

Image structure-texture decomposition is a long-standing and fundamental problem in both image processing and computer vision fields. In this paper, we propose a generalized semi-sparse regularization framework for image structural analysis…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Junqing Huang , Haihui Wang , Michael Ruzhansky

B-spline models are a powerful way to represent scientific data sets with a functional approximation. However, these models can suffer from spurious oscillations when the data to be approximated are not uniformly distributed. Model…

Numerical Analysis · Mathematics 2023-01-04 David Lenz , Raine Yeh , Vijay Mahadevan , Iulian Grindeanu , Tom Peterka

Diffeomorphic image registration (DIR) is a fundamental task in 3D medical image analysis that seeks topology-preserving deformations between image pairs. To ensure diffeomorphism, a common approach is to model the deformation field as the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Mohammadjavad Matinkia , Nilanjan Ray

We present a novel variational approach to image restoration (e.g., denoising, inpainting, labeling) that enables to complement established variational approaches with a histogram-based prior enforcing closeness of the solution to some…

Optimization and Control · Mathematics 2013-07-18 Paul Swoboda , Christoph Schnörr

Image registration is a fundamental task for medical imaging. Resampling of the intensity values is required during registration and better spatial resolution with finer and sharper structures can improve the resampling performance and…

Image and Video Processing · Electrical Eng. & Systems 2022-01-03 Kaicong Sun , Sven Simon

PDE-constrained optimization problems find many applications in medical image analysis, for example, neuroimaging, cardiovascular imaging, and oncological imaging. We review related literature and give examples on the formulation,…

Optimization and Control · Mathematics 2020-12-25 Andreas Mang , Amir Gholami , Christos Davatzikos , George Biros

We propose a novel weakly supervised discriminative algorithm for learning context specific registration metrics as a linear combination of conventional similarity measures. Conventional metrics have been extensively used over the past two…

Computer Vision and Pattern Recognition · Computer Science 2017-07-21 Enzo Ferrante , Puneet K Dokania , Rafael Marini , Nikos Paragios

Affine image registration is a cornerstone of medical image analysis. While classical algorithms can achieve excellent accuracy, they solve a time-consuming optimization for every image pair. Deep-learning (DL) methods learn a function that…

Image and Video Processing · Electrical Eng. & Systems 2024-07-15 Malte Hoffmann , Andrew Hoopes , Douglas N. Greve , Bruce Fischl , Adrian V. Dalca

Multi-modal image registration is a challenging problem that is also an important clinical task for many real applications and scenarios. As a first step in analysis, deformable registration among different image modalities is often…

Image and Video Processing · Electrical Eng. & Systems 2020-07-21 Fengze Liu , Jinzheng Cai , Yuankai Huo , Chi-Tung Cheng , Ashwin Raju , Dakai Jin , Jing Xiao , Alan Yuille , Le Lu , ChienHung Liao , Adam P Harrison

Medical image registration is a fundamental task in medical image analysis, aiming to establish spatial correspondences between paired images. However, existing unsupervised deformable registration methods rely solely on intensity-based…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Hao Xu , Tengfei Xue , Jianan Fan , Dongnan Liu , Yuqian Chen , Fan Zhang , Carl-Fredrik Westin , Ron Kikinis , Lauren J. O'Donnell , Weidong Cai

Image reconstruction enhanced by regularizers, e.g., to enforce sparsity, low rank or smoothness priors on images, has many successful applications in vision tasks such as computer photography, biomedical and spectral imaging. It has been…

Optimization and Control · Mathematics 2022-11-21 Samuel Pinilla , Tingting Mu , Neil Bourne , Jeyan Thiyagalingam

The problem of numerical differentiation can be thought of as an inverse problem by considering it as solving a Volterra equation. It is well known that such inverse integral problems are ill-posed and one requires regularization methods to…

Numerical Analysis · Mathematics 2020-04-15 Abinash Nayak

We propose a novel unsupervised image segmentation algorithm, which aims to segment an image into several coherent parts. It requires no user input, no supervised learning phase and assumes an unknown number of segments. It achieves this by…

Computer Vision and Pattern Recognition · Computer Science 2016-03-09 Aleksandar Dimitriev , Matej Kristan

We investigate continuous regularization methods for linear inverse problems of static and dynamic type. These methods are based on dynamic programming approaches for linear quadratic optimal control problems. We prove regularization…

Optimization and Control · Mathematics 2021-01-27 S. Kindermann , A. Leitao
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