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Modern deep neural networks achieved remarkable progress in medical image segmentation tasks. However, it has recently been observed that they tend to produce overconfident estimates, even in situations of high uncertainty, leading to…

Computer Vision and Pattern Recognition · Computer Science 2023-06-05 Agostina Larrazabal , Cesar Martinez , Jose Dolz , Enzo Ferrante

Image segmentation has come a long way since the early days of computer vision, and still remains a challenging task. Modern variations of the classical (purely bottom-up) approach, involve, e.g., some form of user assistance (interactive…

Computer Vision and Pattern Recognition · Computer Science 2017-07-19 Eyasu Zemene , Leulseged Tesfaye Alemu , Marcello Pelillo

The estimation of distributed parameters in partial differential equations (PDE) from measures of the solution of the PDE may lead to under-determination problems. The choice of a parameterization is a usual way of adding a-priori…

Numerical Analysis · Mathematics 2008-01-16 Hend Ben Ameur , François Clément , Pierre Weis , Guy Chavent

Since the advent of U-Net, fully convolutional deep neural networks and its many variants have completely changed the modern landscape of deep learning based medical image segmentation. However, the over dependence of these methods on pixel…

Image and Video Processing · Electrical Eng. & Systems 2021-01-20 Simon Bohlender , Ilkay Oksuz , Anirban Mukhopadhyay

Physics-informed neural networks (PINNs) provide a promising framework for solving inverse problems governed by partial differential equations (PDEs) by integrating observational data and physical constraints in a unified optimization…

Machine Learning · Computer Science 2026-04-07 Yongsheng Chen , Yong Chen , Wei Guo , Xinghui Zhong

Despite the superior performance of Deep Learning (DL) on numerous segmentation tasks, the DL-based approaches are notoriously overconfident about their prediction with highly polarized label probability. This is often not desirable for…

Image and Video Processing · Electrical Eng. & Systems 2021-12-14 Sungmin Hong , Anna K. Bonkhoff , Andrew Hoopes , Martin Bretzner , Markus D. Schirmer , Anne-Katrin Giese , Adrian V. Dalca , Polina Golland , Natalia S. Rost

The objective of this study was to develop a PET tumor-segmentation framework that addresses the challenges of limited spatial resolution, high image noise, and lack of clinical training data with ground-truth tumor boundaries in PET…

Models incorporating uncertain inputs, such as random forces or material parameters, have been of increasing interest in PDE-constrained optimization. In this paper, we focus on the efficient numerical minimization of a convex and smooth…

Optimization and Control · Mathematics 2021-06-18 Caroline Geiersbach , Winnifried Wollner

Compressive imaging aims to recover a latent image from under-sampled measurements, suffering from a serious ill-posed inverse problem. Recently, deep neural networks have been applied to this problem with superior results, owing to the…

Image and Video Processing · Electrical Eng. & Systems 2021-10-26 Yixiao Yang , Ran Tao , Kaixuan Wei , Ying Fu

Image segmentation is a fundamental and challenging problem in computer vision with applications spanning multiple areas, such as medical imaging, remote sensing, and autonomous vehicles. Recently, convolutional neural networks (CNNs) have…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Ali Hatamizadeh

We introduce a method for training neural networks to perform image or volume segmentation in which prior knowledge about the topology of the segmented object can be explicitly provided and then incorporated into the training process. By…

Computer Vision and Pattern Recognition · Computer Science 2020-09-21 James R. Clough , Nicholas Byrne , Ilkay Oksuz , Veronika A. Zimmer , Julia A. Schnabel , Andrew P. King

Today, deep convolutional neural networks (CNNs) have demonstrated state of the art performance for supervised medical image segmentation, across various imaging modalities and tasks. Despite early success, segmentation networks may still…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Rosana El Jurdi , Caroline Petitjean , Paul Honeine , Veronika Cheplygina , Fahed Abdallah

This paper presents Deep Networks for Improved Segmentation Edges (DeNISE), a novel data enhancement technique using edge detection and segmentation models to improve the boundary quality of segmentation masks. DeNISE utilizes the inherent…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Sander Riisøen Jyhne , Per-Arne Andersen , Morten Goodwin

Enhancing neural networks with knowledge of physical equations has become an efficient way of solving various physics problems, from fluid flow to electromagnetism. Graph neural networks show promise in accurately representing irregularly…

Machine Learning · Computer Science 2022-04-01 Mike Y. Michelis , Robert K. Katzschmann

Current deep learning-based approaches for the segmentation of microscopy images heavily rely on large amount of training data with dense annotation, which is highly costly and laborious in practice. Compared to full annotation where the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Shijie Li , Mengwei Ren , Thomas Ach , Guido Gerig

Solving parametric Partial Differential Equations (PDEs) for a broad range of parameters is a critical challenge in scientific computing. To this end, neural operators, which \textcolor{black}{predicts the PDE solution with variable PDE…

Numerical Analysis · Mathematics 2024-11-14 Weiheng Zhong , Hadi Meidani

Medical image segmentation models are typically optimised with voxel-wise losses that constrain predictions only in the output space. This leaves latent feature representations largely unconstrained, potentially limiting generalisation. We…

Image and Video Processing · Electrical Eng. & Systems 2026-03-02 Puru Vaish , Amin Ranem , Felix Meister , Tobias Heimann , Christoph Brune , Jelmer M. Wolterink

Image segmentation, the process of partitioning an image into meaningful regions, plays a pivotal role in computer vision and medical imaging applications. Unsupervised segmentation, particularly in the absence of labeled data, remains a…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Kovvuri Sai Gopal Reddy , Bodduluri Saran , A. Mudit Adityaja , Saurabh J. Shigwan , Nitin Kumar

Recent advances in deep learning have significantly improved brain tumour segmentation techniques; however, the results still lack confidence and robustness as they solely consider image data without biophysical priors or pathological…

Image and Video Processing · Electrical Eng. & Systems 2024-10-10 Lipei Zhang , Yanqi Cheng , Lihao Liu , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

Uncertainty in medical image segmentation is inherently non-uniform, with boundary regions exhibiting substantially higher ambiguity than interior areas. Conventional training treats all pixels equally, leading to unstable optimization…

Computer Vision and Pattern Recognition · Computer Science 2026-02-25 Jinming Zhang , Youpeng Yang , Xi Yang , Haosen Shi , Yuyao Yan , Qiufeng Wang , Guangliang Cheng , Kaizhu Huang