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We propose a spectral clustering method based on local principal components analysis (PCA). After performing local PCA in selected neighborhoods, the algorithm builds a nearest neighbor graph weighted according to a discrepancy between the…

Machine Learning · Statistics 2019-04-09 Ery Arias-Castro , Gilad Lerman , Teng Zhang

Objects in aerial images have greater variations in scale and orientation than in typical images, so detection is more difficult. Convolutional neural networks use a variety of frequency- and orientation-specific kernels to identify objects…

Computer Vision and Pattern Recognition · Computer Science 2021-11-08 Guo-Ye Yang , Xiang-Li Li , Ralph R. Martin , Shi-Min Hu

Automatic multi-class object detection in remote sensing images in unconstrained scenarios is of high interest for several applications including traffic monitoring and disaster management. The huge variation in object scale, orientation,…

Computer Vision and Pattern Recognition · Computer Science 2018-11-02 Seyed Majid Azimi , Eleonora Vig , Reza Bahmanyar , Marco Körner , Peter Reinartz

As the development of deep neural networks, 3D object recognition is becoming increasingly popular in computer vision community. Many multi-view based methods are proposed to improve the category recognition accuracy. These approaches…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Qi Xuan , Fuxian Li , Yi Liu , Yun Xiang

Recognizing a target of interest from the UAVs is much more challenging than the existing object re-identification tasks across multiple city cameras. The images taken by the UAVs usually suffer from significant size difference when…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Shuoyi Chen , Mang Ye , Bo Du

Rotation invariance and translation invariance have great values in image recognition tasks. In this paper, we bring a new architecture in convolutional neural network (CNN) named cyclic convolutional layer to achieve rotation invariance in…

Computer Vision and Pattern Recognition · Computer Science 2017-06-20 Shiyuan Li

Visual Place Recognition (VPR) demands representations robust to drastic environmental and viewpoint shifts. Existing aggregation paradigms either depend on extensive supervised training or rely on first-order pooling, often struggling to…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Jintao Cheng , Weibin Li , Zhijian He , Jin Wu , Chi Man Vong , Wei Zhang

We introduce a new non-smooth variational model for the restoration of manifold-valued data which includes second order differences in the regularization term. While such models were successfully applied for real-valued images, we introduce…

Numerical Analysis · Mathematics 2018-12-10 Miroslav Bačák , Ronny Bergmann , Gabriele Steidl , Andreas Weinmann

The Gleason grading system using histological images is the most powerful diagnostic and prognostic predictor of prostate cancer. The current standard inspection is evaluating Gleason H&E-stained histopathology images by pathologists.…

Image and Video Processing · Electrical Eng. & Systems 2020-12-10 Haotian Xie , Yong Zhang , Jun Wang , Jingjing Zhang , Yifan Ma , Zhaogang Yang

General detectors follow the pipeline that feature maps extracted from ConvNets are shared between classification and regression tasks. However, there exists obvious conflicting requirements in multi-orientation object detection that…

Computer Vision and Pattern Recognition · Computer Science 2019-03-28 Zhixin Zhang , Xudong Chen , Jie Liu , Kaibo Zhou

In order to process efficiently ever-higher dimensional data such as images, sentences, or audio recordings, one needs to find a proper way to reduce the dimensionality of such data. In this regard, SVD-based methods including PCA and…

Machine Learning · Computer Science 2021-03-09 Quentin Fournier , Daniel Aloise

Weight sharing in convolutional neural networks (CNNs) ensures that their feature maps will be translation-equivariant. However, although conventional convolutions are equivariant to translation, they are not equivariant to other isometries…

Instrumentation and Methods for Astrophysics · Physics 2021-03-10 Anna M. M. Scaife , Fiona Porter

We introduce the notion of Principal Component Analysis (PCA) of image gradient orientations. As image data is typically noisy, but noise is substantially different from Gaussian, traditional PCA of pixel intensities very often fails to…

Computer Vision and Pattern Recognition · Computer Science 2010-05-18 Georgios Tzimiropoulos , Stefanos Zafeiriou

Rotational invariance is a popular inductive bias used by many fields in machine learning, such as computer vision and machine learning for quantum chemistry. Rotation-invariant machine learning methods set the state of the art for many…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Owen Melia , Eric Jonas , Rebecca Willett

In this paper, we study a 2D tomography problem for point source models with random unknown view angles. Rather than recovering the projection angles, we reconstruct the model through a set of rotation-invariant features that are estimated…

Signal Processing · Electrical Eng. & Systems 2018-11-27 Mona Zehni , Shuai Huang , Ivan Dokmanić , Zhizhen Zhao

Cryo-electron microscopy (cryo-EM) is an imaging modality that provides unique insights into the dynamics of proteins and other building blocks of life. The algorithmic challenge of jointly estimating the poses, 3D structure, and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-17 Axel Levy , Gordon Wetzstein , Julien Martel , Frederic Poitevin , Ellen D. Zhong

Anisotropic image analysis is ubiquitous in medical and scientific imaging, and while the literature on the subject is extensive, the robustness to numerical rotations of numerous methods remains to be studied. Indeed, the principal…

Image and Video Processing · Electrical Eng. & Systems 2026-03-13 Jérémy Scanvic , Nils Laurent

The principle of translation equivariance (if an input image is translated an output image should be translated by the same amount), led to the development of convolutional neural networks that revolutionized machine vision. Other…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Zachary Schlamowitz , Andrew Bennecke , Daniel J. Tward

We propose a novel end-to-end method for cross-view pose estimation. Given a ground-level query image and an aerial image that covers the query's local neighborhood, the 3 Degrees-of-Freedom camera pose of the query is estimated by matching…

Computer Vision and Pattern Recognition · Computer Science 2023-12-25 Zimin Xia , Olaf Booij , Julian F. P. Kooij