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Automated surface segmentation is important and challenging in many medical image analysis applications. Recent deep learning based methods have been developed for various object segmentation tasks. Most of them are a classification based…

Image and Video Processing · Electrical Eng. & Systems 2020-07-03 Leixin Zhou , Xiaodong Wu

Image segmentation is an important task in the domain of computer vision and medical imaging. In natural and medical images, intensity inhomogeneity, i.e. the varying image intensity, occurs often and it poses considerable challenges for…

Image and Video Processing · Electrical Eng. & Systems 2019-04-04 Raymond Chan , Hongfei Yang , Tieyong Zeng

Convolutional Neural Networks (CNNs) have been recently employed to solve problems from both the computer vision and medical image analysis fields. Despite their popularity, most approaches are only able to process 2D images while most…

Computer Vision and Pattern Recognition · Computer Science 2016-06-16 Fausto Milletari , Nassir Navab , Seyed-Ahmad Ahmadi

In order to determine the 3D structure of a thick sample, researchers have recently combined ptychography (for high resolution) and tomography (for 3D imaging) in a single experiment. 2-step methods are usually adopted for reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2020-07-21 Huibin Chang , Pablo Enfedaque , Stefano Marchesini

We explore the use of the recently proposed "total nuclear variation" (TNV) as a regularizer for reconstructing multi-channel, spectral CT images. This convex penalty is a natural extension of the total variation (TV) to vector-valued…

Medical Physics · Physics 2015-06-23 David Rigie , Patrick La Riviere

Total variation (TV) is a widely used regularizer for stabilizing the solution of ill-posed inverse problems. In this paper, we propose a novel proximal-gradient algorithm for minimizing TV regularized least-squares cost functional. Our…

Information Theory · Computer Science 2016-01-05 Ulugbek S. Kamilov

In this paper, we propose Total Variation Regularized Tensor-on-scalar Regression(TVTR), a novel method for estimating the association between a tensor outcome (a one dimensional or multidimensional array) and scalar predictors. While the…

Methodology · Statistics 2018-12-11 Ying Liu , Bowei Yan , Kathleen Merikangas , Haochang Shou

Most of today's state-of-the-art methods for perspective shape from shading are modelled in terms of partial differential equations (PDEs) of Hamilton-Jacobi type. To improve the robustness of such methods w.r.t. noise and missing data,…

Computer Vision and Pattern Recognition · Computer Science 2015-07-14 Yong Chul Ju , Daniel Maurer , Michael Breuß , Andrés Bruhn

Medical image segmentation aims to identify anatomical structures at the voxel-level. Segmentation accuracy relies on distinguishing voxel differences. Compared to advancements achieved in studies of the inter-class variance, the…

Image and Video Processing · Electrical Eng. & Systems 2025-03-19 Yali Bi , Enyu Che , Yinan Chen , Yuanpeng He , Jingwei Qu

We consider the inverse problem of determining the fragmentation rate from noisy measurements in the growth-fragmentation equation. We use Fourier transform theory on locally compact groups to treat this problem for general fragmentation…

Numerical Analysis · Mathematics 2024-02-20 Alvaro Almeida Gomez , Jorge Zubelli

The spatio-spectral total variation (SSTV) model has been widely used as an effective regularization of hyperspectral images (HSI) for various applications such as mixed noise removal. However, since SSTV computes local spatial differences…

Image and Video Processing · Electrical Eng. & Systems 2022-10-05 Shingo Takemoto , Kazuki Naganuma , Shunsuke Ono

We introduce a class of higher-order anisotropic total variation regularisers, which are defined for possibly inhomogeneous, smooth elliptic anisotropies, that extends the Total Generalized Variation (TGV) regulariser and its variants. We…

Numerical Analysis · Mathematics 2020-07-10 Simone Parisotto , Jan Lellmann , Simon Masnou , Carola-Bibiane Schönlieb

We present the first method to handle curvature regularity in region-based image segmentation and inpainting that is independent of initialization. To this end we start from a new formulation of length-based optimization schemes, based on…

Computer Vision and Pattern Recognition · Computer Science 2011-02-21 Thomas Schoenemann , Fredrik Kahl , Simon Masnou , Daniel Cremers

Graph-based variational methods have recently shown to be highly competitive for various classification problems of high-dimensional data, but are inherently difficult to handle from an optimization perspective. This paper proposes a convex…

Optimization and Control · Mathematics 2017-02-17 Egil Bae , Ekaterina Merkurjev

We consider a variational model for single-image super-resolution based on the assumption that the gradient of the target image is sparse. We enforce this assumption by considering both an isotropic and an anisotropic $\ell^0$…

Image and Video Processing · Electrical Eng. & Systems 2020-12-17 Pasquale Cascarano , Luca Calatroni , Elena Loli Piccolomini

In computed tomography, the approximation quality of a scan of a physical object is typically limited by the acquisition modalities, especially the hardware including X-ray detectors. To improve upon this, we experiment with a…

Graphics · Computer Science 2023-03-14 A. Michael Stock , Sergio López-Ureña

We propose a machine learning based approach for automatic regularization and polygonization of building segmentation masks. Taking an image as input, we first predict building segmentation maps exploiting generic fully convolutional…

Computer Vision and Pattern Recognition · Computer Science 2020-12-18 Stefano Zorzi , Ksenia Bittner , Friedrich Fraundorfer

Automatic segmentation of an image to identify all meaningful parts is one of the most challenging as well as useful tasks in a number of application areas. This is widely studied. Selective segmentation, less studied, aims to use limited…

Numerical Analysis · Mathematics 2019-07-08 Michael Roberts , Ke Chen , Klaus L. Irion

We address the problem of registering two surfaces, of which a natural bijection between them does not exist. More precisely, only a partial subset of the source surface is assumed to be in correspondence with a subset of the target…

Computational Geometry · Computer Science 2020-04-10 Di Qiu , Lok-Ming Lui

Anomaly detection algorithms find extensive use in various fields. This area of research has recently made great advances thanks to deep learning. A recent method, the deep Support Vector Data Description (deep SVDD), which is inspired by…

Machine Learning · Computer Science 2021-01-20 Penny Chong , Lukas Ruff , Marius Kloft , Alexander Binder