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To reduce the x-ray dose in computerized tomography (CT), many constrained optimization approaches have been proposed aiming at minimizing a regularizing function that measures lack of consistency with some prior knowledge about the object…

Medical Physics · Physics 2017-04-05 Edgar Garduño , Gabor T. Herman

Image classifiers are known to be difficult to interpret and therefore require explanation methods to understand their decisions. We present ShearletX, a novel mask explanation method for image classifiers based on the shearlet transform --…

Computer Vision and Pattern Recognition · Computer Science 2023-05-01 Stefan Kolek , Robert Windesheim , Hector Andrade Loarca , Gitta Kutyniok , Ron Levie

Segmentation, a useful/powerful technique in pattern recognition, is the process of identifying object outlines within images. There are a number of efficient algorithms for segmentation in Euclidean space that depend on the variational…

Computer Vision and Pattern Recognition · Computer Science 2019-11-12 Xiaohao Cai , Christopher G. R. Wallis , Jennifer Y. H. Chan , Jason D. McEwen

We propose a variational regularization approach based on a multiscale representation called cylindrical shearlets aimed at dynamic imaging problems, especially dynamic tomography. The intuitive idea of our approach is to integrate a…

Numerical Analysis · Mathematics 2025-08-05 Tatiana A. Bubba , Tommi Heikkilä , Demetrio Labate , Luca Ratti

Convolutional neural networks (CNNs) show outstanding performance in many image processing problems, such as image recognition, object detection and image segmentation. Semantic segmentation is a very challenging task that requires…

Computer Vision and Pattern Recognition · Computer Science 2019-07-12 Fan Jia , Jun Liu , Xue-cheng Tai

Deep convolutional neural networks have achieved remarkable progress on a variety of medical image computing tasks. A common problem when applying supervised deep learning methods to medical images is the lack of labeled data, which is very…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Xiaomeng Li , Lequan Yu , Hao Chen , Chi-Wing Fu , Lei Xing , Pheng-Ann Heng

In a number of tomographic applications, data cannot be fully acquired, resulting in a severely underdetermined image reconstruction. In such cases, conventional methods lead to reconstructions with significant artifacts. To overcome these…

Numerical Analysis · Mathematics 2023-06-21 Simon Göppel , Jürgen Frikel , Markus Haltmeier

Over the past years, various representation systems which sparsely approximate functions governed by anisotropic features such as edges in images have been proposed. We exemplarily mention the systems of contourlets, curvelets, and…

Numerical Analysis · Mathematics 2012-04-01 Gitta Kutyniok , Wang-Q Lim , Xiaosheng Zhuang

Over the past years, various representation systems which sparsely approximate functions governed by anisotropic features such as edges in images have been proposed. We exemplarily mention the systems of contourlets, curvelets, and…

Numerical Analysis · Mathematics 2011-06-13 G. Kutyniok , W. -Q Lim , X. Zhuang

We present a variational multi-label segmentation algorithm based on a robust Huber loss for both the data and the regularizer, minimized within a convex optimization framework. We introduce a novel constraint on the common areas, to bias…

Computer Vision and Pattern Recognition · Computer Science 2017-02-28 Byung-Woo Hong , Ja-Keoung Koo , Stefano Soatto

In this paper, we present an image separation method for separating images into point- and curvelike parts by employing a combined dictionary consisting of wavelets and compactly supported shearlets utilizing the fact that they sparsely…

Numerical Analysis · Mathematics 2011-06-13 Gitta Kutyniok , Wang-Q Lim

In recent years directional multiscale transformations like the curvelet- or shearlet transformation have gained considerable attention. The reason for this is that these transforms are - unlike more traditional transforms like wavelets -…

Functional Analysis · Mathematics 2009-12-13 Philipp Grohs

Wavelets and their associated transforms are highly efficient when approximating and analyzing one-dimensional signals. However, multivariate signals such as images or videos typically exhibit curvilinear singularities, which wavelets are…

Numerical Analysis · Mathematics 2017-11-15 Gitta Kutyniok , Wang-Q Lim , Rafael Reisenhofer

This work considers semi-supervised segmentation as a dense prediction problem based on prototype vector correlation and proposes a simple way to represent each segmentation class with multiple prototypes. To avoid degenerate solutions, two…

Computer Vision and Pattern Recognition · Computer Science 2021-11-17 Jizong Peng , Christian Desrosiers , Marco Pedersoli

In this paper, we propose a solution for a fundamental problem in computational harmonic analysis, namely, the construction of a multiresolution analysis with directional components. We will do so by constructing subdivision schemes which…

Numerical Analysis · Mathematics 2007-10-16 Gitta Kutyniok , Tomas Sauer

Deep convolutional neural networks for semantic segmentation achieve outstanding accuracy, however they also have a couple of major drawbacks: first, they do not generalize well to distributions slightly different from the one of the…

Computer Vision and Pattern Recognition · Computer Science 2021-07-08 Francesco Barbato , Marco Toldo , Umberto Michieli , Pietro Zanuttigh

We consider the problem of semantic image segmentation using deep convolutional neural networks. We propose a novel network architecture called the label refinement network that predicts segmentation labels in a coarse-to-fine fashion at…

Computer Vision and Pattern Recognition · Computer Science 2017-03-03 Md Amirul Islam , Shujon Naha , Mrigank Rochan , Neil Bruce , Yang Wang

Shearlet systems have so far been only considered as a means to analyze $L^2$-functions defined on $\R^2$, which exhibit curvilinear singularities. However, in applications such as image processing or numerical solvers of partial…

Functional Analysis · Mathematics 2010-07-20 Gitta Kutyniok , Wang-Q Lim

Visual segmentation seeks to partition images, video frames, or point clouds into multiple segments or groups. This technique has numerous real-world applications, such as autonomous driving, image editing, robot sensing, and medical…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Xiangtai Li , Henghui Ding , Haobo Yuan , Wenwei Zhang , Jiangmiao Pang , Guangliang Cheng , Kai Chen , Ziwei Liu , Chen Change Loy

Segmentation remains an important problem in image processing. For homogeneous (piecewise smooth) images, a number of important models have been developed and refined over the past several decades. However, these models often fail when…

Computer Vision and Pattern Recognition · Computer Science 2016-07-01 Duy Hoang Thai , Lucas Mentch
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