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Classical model-based imaging methods for ultrasound elasticity inverse problem require prior constraints about the underlying elasticity patterns, while finding the appropriate hand-crafted prior for each tissue type is a challenge. In…

Image and Video Processing · Electrical Eng. & Systems 2021-06-16 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin

Quantitative characterization of tissue properties, known as elasticity imaging, can be cast as solving an ill-posed inverse problem. The finite element methods (FEMs) in magnetic resonance elastography (MRE) imaging are based on solving a…

Image and Video Processing · Electrical Eng. & Systems 2021-03-29 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin

Elasticity image, visualizing the quantitative map of tissue stiffness, can be reconstructed by solving an inverse problem. Classical methods for magnetic resonance elastography (MRE) try to solve a regularized optimization problem…

Image and Video Processing · Electrical Eng. & Systems 2021-05-28 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin

Existing physical model-based imaging methods for ultrasound elasticity reconstruction utilize fixed variational regularizers that may not be appropriate for the application of interest or may not capture complex spatial prior information…

Image and Video Processing · Electrical Eng. & Systems 2021-03-29 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin

Model-based computational elasticity imaging of tissues can be posed as solving an inverse problem over finite elements spanning the displacement image. As most existing quasi-static elastography methods count on deterministic formulations…

Image and Video Processing · Electrical Eng. & Systems 2020-10-22 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin

It is known that changes in the mechanical properties of tissues are associated with the onset and progression of certain diseases. Ultrasound elastography is a technique to characterize tissue stiffness using ultrasound imaging either by…

Image and Video Processing · Electrical Eng. & Systems 2020-11-22 Hongliang Li , Manish Bhatt , Zhen Qu , Shiming Zhang , Martin C. Hartel , Ali Khademhosseini , Guy Cloutier

Ultrasound-based elasticity imaging is a non-invasive technique for estimating tissue stiffness fields from displacement fields obtained by comparing ultrasound signals before and after compression. While recent deep learning approaches…

Medical Physics · Physics 2026-01-22 Heekyu Kim , Hugon LEe , Minwoo Park , Seunghwa Ryu

The deep energy method (DEM) has been used to solve the elastic deformation of structures with linear elasticity, hyperelasticity, and strain-gradient elasticity material models based on the principle of minimum potential energy. In this…

Computational Engineering, Finance, and Science · Computer Science 2023-01-26 Junyan He , Diab Abueidda , Rashid Abu Al-Rub , Seid Koric , Iwona Jasiuk

Quasi-static ultrasound elastography (USE) is an imaging modality that consists of determining a measure of deformation (i.e.strain) of soft tissue in response to an applied mechanical force. The strain is generally determined by estimating…

Image and Video Processing · Electrical Eng. & Systems 2020-11-05 Rémi Delaunay , Yipeng Hu , Tom Vercauteren

Tissue stiffness is related to soft tissue pathologies and can be assessed through palpation or via clinical imaging systems, e.g., ultrasound or magnetic resonance imaging. Typically, the image based approaches are not suitable during…

Signal Processing · Electrical Eng. & Systems 2025-09-04 Maximilian Neidhardt , Sarah Latus , Tim Eixmann , Gereon Hüttmann , Alexander Schlaefer

The data consistency for the physical forward model is crucial in inverse problems, especially in MR imaging reconstruction. The standard way is to unroll an iterative algorithm into a neural network with a forward model embedded. The…

Image and Video Processing · Electrical Eng. & Systems 2023-06-28 Guanxiong Luo , Mengmeng Kuang , Peng Cao

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

Machine Learning · Computer Science 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

We introduce a model-based iterative method to obtain shear modulus images of tissue using magnetic resonance elastography. The method jointly finds the displacement field that best fits multifrequency tissue displacement data and the…

Signal Processing · Electrical Eng. & Systems 2021-11-25 Shahed Mohammed , Mohammad Honarvar , Qi Zeng , Hoda Hashemi , Robert Rohling , Piotr Kozlowski , Septimiu Salcudean

In many imaging applications where segmented features (e.g. blood vessels) are further used for other numerical simulations (e.g. finite element analysis), the obtained surfaces do not have fine resolutions suitable for the task. Increasing…

Analysis of PDEs · Mathematics 2023-09-19 Yiyao Zhang , Ke Chen , Shang-Hua Yang

We present a framework for solving a broad class of ill-posed inverse problems governed by partial differential equations (PDEs), where the target coefficients of the forward operator are recovered through an iterative regularization scheme…

Medical image registration aims at identifying the spatial deformation between images of the same anatomical region and is fundamental to image-based diagnostics and therapy. To date, the majority of the deep learning-based registration…

Image and Video Processing · Electrical Eng. & Systems 2023-12-05 Anna Reithmeir , Julia A. Schnabel , Veronika A. Zimmer

Inverse problems for accelerated MRI typically incorporate domain-specific knowledge about the forward encoding operator in a regularized reconstruction framework. Recently physics-driven deep learning (DL) methods have been proposed to use…

Image and Video Processing · Electrical Eng. & Systems 2020-07-09 Seyed Amir Hossein Hosseini , Burhaneddin Yaman , Steen Moeller , Mingyi Hong , Mehmet Akçakaya

There has been significant recent interest in the use of deep learning for regularizing imaging inverse problems. Most work in the area has focused on regularization imposed implicitly by convolutional neural networks (CNNs) pre-trained for…

Image and Video Processing · Electrical Eng. & Systems 2023-03-10 Zihao Zou , Jiaming Liu , Brendt Wohlberg , Ulugbek S. Kamilov

Medical ultrasound imaging relies heavily on high-quality signal processing to provide reliable and interpretable image reconstructions. Conventionally, reconstruction algorithms where derived from physical principles. These algorithms rely…

Signal Processing · Electrical Eng. & Systems 2023-09-21 Ben Luijten , Nishith Chennakeshava , Yonina C. Eldar , Massimo Mischi , Ruud J. G. van Sloun

Finite element methods (FEM) are popular approaches for simulation of soft tissues with elastic or viscoelastic behavior. However, their usage in real-time applications, such as in virtual reality surgical training, is limited by…

Machine Learning · Computer Science 2023-01-12 Mohammad Karami , Hervé Lombaert , David Rivest-Hénault
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