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Rotation-invariance is a desired property of machine-learning models for medical image analysis and in particular for computational pathology applications. We propose a framework to encode the geometric structure of the special Euclidean…

Computer Vision and Pattern Recognition · Computer Science 2020-02-21 Maxime W. Lafarge , Erik J. Bekkers , Josien P. W. Pluim , Remco Duits , Mitko Veta

Direct detector device (DDD) cameras have revolutionized single particle electron cryomicroscopy (cryo-EM). In addition to an improved camera detective quantum efficiency, acquisition of DDD movies allows for correction of movement of the…

Quantitative Methods · Quantitative Biology 2015-11-23 John L. Rubinstein , Marcus A. Brubaker

LiDAR based place recognition is popular for loop closure detection and re-localization. In recent years, deep learning brings improvements to place recognition by learnable feature extraction. However, these methods degenerate when the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Sha Lu , Xuecheng Xu , Li Tang , Rong Xiong , Yue Wang

Images encode both the state of the world and its content. The former is useful for tasks such as planning and control, and the latter for classification. The automatic extraction of this information is challenging because of the…

Artificial Intelligence · Computer Science 2020-12-09 Christine Allen-Blanchette , Kostas Daniilidis

Convolutional neural nets (CNN) are the leading computer vision method for classifying images. In some cases, it is desirable to classify only a specific region of the image that corresponds to a certain object. Hence, assuming that the…

Computer Vision and Pattern Recognition · Computer Science 2018-12-07 Sagi Eppel

The determination of molecular orientations is crucial for the three-dimensional reconstruction of Cryo-EM images. Traditionally addressed using the common-line method, this challenge is reformulated as a self-consistency error minimization…

Optimization and Control · Mathematics 2024-11-22 Wanyu Zhang , Ruili Gou , Huikang Liu , Zhiguo Wang , Yinyu Ye

Detection of objects is extremely important in various aerial vision-based applications. Over the last few years, the methods based on convolution neural networks have made substantial progress. However, because of the large variety of…

Computer Vision and Pattern Recognition · Computer Science 2022-02-16 Pourya Shamsolmoali , Masoumeh Zareapoor , Jocelyn Chanussot , Huiyu Zhou , Jie Yang

State-of-the-art deep learning systems often require large amounts of data and computation. For this reason, leveraging known or unknown structure of the data is paramount. Convolutional neural networks (CNNs) are successful examples of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Carlos Esteves

We present a new algorithm for clustering points in R^n. The key property of the algorithm is that it is affine-invariant, i.e., it produces the same partition for any affine transformation of the input. It has strong guarantees when the…

Machine Learning · Computer Science 2008-08-04 S. Charles Brubaker , Santosh S. Vempala

Remote sensing image retrieval (RSIR) is the process of ranking database images depending on the degree of similarity compared to the query image. As the complexity of RSIR increases due to the diversity in shooting range, angle, and…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Hyunseung Chung , Woo-Jeoung Nam , Seong-Whan Lee

Rotation-equivariance is an essential yet challenging property in oriented object detection. While general object detectors naturally leverage robustness to spatial shifts due to the translation-equivariance of the conventional CNNs,…

Computer Vision and Pattern Recognition · Computer Science 2024-01-15 Chanho Lee , Jinsu Son , Hyounguk Shon , Yunho Jeon , Junmo Kim

To do dimensionality reduction on the datasets with outliers, the $\ell_1$-norm principal component analysis (L1-PCA) as a typical robust alternative of the conventional PCA has enjoyed great popularity over the past years. In this work, we…

Optimization and Control · Mathematics 2022-10-27 Taoli Zheng , Peng Wang , Anthony Man-Cho So

Quantitative analysis methods based on the usage of a scanning electron microscope (SEM), such as energy dispersive x-ray spectroscopy, often require specimens to have a flat surface oriented normal to the electron beam. In-situ procedures…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Clay Klein , Chunfei Li

A major challenge in single particle reconstruction from cryo-electron microscopy is to establish a reliable ab-initio three-dimensional model using two-dimensional projection images with unknown orientations. Common-lines based methods…

Machine Learning · Computer Science 2013-04-11 Lanhui Wang , Amit Singer , Zaiwen Wen

Rotational symmetry is a defining feature of many tomography systems, including computed tomography (CT) and emission computed tomography (ECT), where detectors are arranged in a circular or periodically rotating configuration. This study…

Medical Physics · Physics 2025-02-05 Yaogong Zhang , Fang-Fang Yin , Lei Zhang

In this work, we present and investigate the novel blind inverse problem of position-blind ptychography, i.e., ptychographic phase retrieval without any knowledge of scan positions, which then must be recovered jointly with the image. The…

Image and Video Processing · Electrical Eng. & Systems 2026-03-18 Simon Welker , Lorenz Kuger , Tim Roith , Berthy Feng , Martin Burger , Timo Gerkmann , Henry Chapman

Change in viewpoint is one of the major factors for variation in object appearance across different images. Thus, view-invariant object recognition is a challenging and important image understanding task. In this paper, we propose a method…

Computer Vision and Pattern Recognition · Computer Science 2017-05-15 Sina Lotfian , Hassan Foroosh

Sparse local feature matching is pivotal for many computer vision and robotics tasks. To improve their invariance to challenging appearance conditions and viewing angles, and hence their usefulness, existing learning-based methods have…

Computer Vision and Pattern Recognition · Computer Science 2022-03-11 Abhishek Peri , Kinal Mehta , Avneesh Mishra , Michael Milford , Sourav Garg , K. Madhava Krishna

Partial differential equation (PDE) models and their associated variational energy formulations are often rotationally invariant by design. This ensures that a rotation of the input results in a corresponding rotation of the output, which…

Machine Learning · Computer Science 2022-03-21 Tobias Alt , Karl Schrader , Joachim Weickert , Pascal Peter , Matthias Augustin

PURPOSE: Deep learning methods for classifying prostate cancer (PCa) in ultrasound images typically employ convolutional networks (CNNs) to detect cancer in small regions of interest (ROI) along a needle trace region. However, this approach…