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Many systems in nature and the synthetic world involve ordered arrangements of units on two-dimensional surfaces. We review here the fundamental role payed by both the topology of the underlying surface and its detailed curvature. Topology…

Soft Condensed Matter · Physics 2009-07-31 Mark J. Bowick , Luca Giomi

We propose a supervised machine learning approach for boosting existing signal and image recovery methods and demonstrate its efficacy on example of image reconstruction in computed tomography. Our technique is based on a local nonlinear…

Computer Vision and Pattern Recognition · Computer Science 2013-12-02 Joseph Shtok , Michael Zibulevsky , Michael Elad

The success of supervised learning requires large-scale ground truth labels which are very expensive, time-consuming, or may need special skills to annotate. To address this issue, many self- or un-supervised methods are developed. Unlike…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Longlong Jing , Yucheng Chen , Ling Zhang , Mingyi He , Yingli Tian

Image inpainting techniques have shown significant improvements by using deep neural networks recently. However, most of them may either fail to reconstruct reasonable structures or restore fine-grained textures. In order to solve this…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Yurui Ren , Xiaoming Yu , Ruonan Zhang , Thomas H. Li , Shan Liu , Ge Li

Convolutional Neural Networks (CNNs) for visual tasks are believed to learn both the low-level textures and high-level object attributes, throughout the network depth. This paper further investigates the `texture bias' in CNNs. To this end,…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Amin Banitalebi-Dehkordi , Yong Zhang

Diffusion models have been shown to be capable of generating high-quality images, suggesting that they could contain meaningful internal representations. Unfortunately, the feature maps that encode a diffusion model's internal information…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Grace Luo , Lisa Dunlap , Dong Huk Park , Aleksander Holynski , Trevor Darrell

A fascinating inverse problem that has been receiving considerable attention is the construction of realizations of random two-phase heterogeneous media with a target two-point correlation function. However, not every hypothetical two-point…

Disordered Systems and Neural Networks · Physics 2007-05-23 Salvatore Torquato

We develop a model for representing visual texture in a low-dimensional feature space, along with a novel self-supervised learning objective that is used to train it on an unlabeled database of texture images. Inspired by the architecture…

Computer Vision and Pattern Recognition · Computer Science 2020-07-01 Nikhil Parthasarathy , Eero P. Simoncelli

High-dimensional images, known for their rich semantic information, are widely applied in remote sensing and other fields. The spatial information in these images reflects the object's texture features, while the spectral information…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Daixun Li , Weiying Xie , Jiaqing Zhang , Yunsong Li

This paper presents a light-weight, high-quality texture synthesis algorithm that easily generalizes to other applications such as style transfer and texture mixing. We represent texture features through the deep neural activation vectors…

Graphics · Computer Science 2020-10-29 Eric Risser

To construct models of large, multivariate complex systems, such as those in biology, one needs to constrain which variables are allowed to interact. This can be viewed as detecting "local" structures among the variables. In the context of…

Data Analysis, Statistics and Probability · Physics 2023-10-19 Mahajabin Rahman , Ilya Nemenman

Subspace clustering methods have been widely studied recently. When the inputs are 2-dimensional (2D) data, existing subspace clustering methods usually convert them into vectors, which severely damages inherent structures and relationships…

Computer Vision and Pattern Recognition · Computer Science 2020-11-04 Chong Peng , Qian Zhang , Zhao Kang , Chenglizhao Chen , Qiang Cheng

Two recent developments have accelerated progress in image reconstruction from human brain activity: large datasets that offer samples of brain activity in response to many thousands of natural scenes, and the open-sourcing of powerful…

Neurons and Cognition · Quantitative Biology 2023-06-02 Reese Kneeland , Jordyn Ojeda , Ghislain St-Yves , Thomas Naselaris

To overcome the limitations of original local binary patterns (LBP), this article proposes a new texture descriptor aided by complex networks (CN) and LBP, named CN-LBP. Specifically, we first abstract a texture image (TI) as directed…

Image and Video Processing · Electrical Eng. & Systems 2021-06-29 Zhengrui Huang

We study two-point correlation function in a medium composed of two kinds of matter, which is the dual of a three-dimensional generalized $p$-brane gas geometry. Following the holographic prescription, we calculate temporal and spatial…

High Energy Physics - Theory · Physics 2022-12-05 Chanyong Park , Se-Jin Kim , Jung Hun Lee

The reconstruction of real-world surfaces is on high demand in various applications. Most existing reconstruction approaches apply 3D scanners for creating point clouds which are generally sparse and of low density. These points clouds will…

Computer Vision and Pattern Recognition · Computer Science 2021-03-01 Rajat Sharma , Tobias Schwandt , Christian Kunert , Steffen Urban , Wolfgang Broll

Existing learning-based point feature descriptors are usually task-agnostic, which pursue describing the individual 3D point clouds as accurate as possible. However, the matching task aims at describing the corresponding points consistently…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Zhiyuan Zhang , Yuchao Dai , Bin Fan , Jiadai Sun , Mingyi He

The aim of this paper is to further explore the usefulness of the two-dimensional complexity-entropy causality plane as a texture image descriptor. A multiscale generalization is introduced in order to distinguish between different…

Data Analysis, Statistics and Probability · Physics 2017-05-17 Luciano Zunino , Haroldo V. Ribeiro

Reference-based Super-Resolution (Ref-SR) has recently emerged as a promising paradigm to enhance a low-resolution (LR) input image or video by introducing an additional high-resolution (HR) reference image. Existing Ref-SR methods mostly…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Yuming Jiang , Kelvin C. K. Chan , Xintao Wang , Chen Change Loy , Ziwei Liu

It is well-known that the degeneracy of two-phase microstructures with the same volume fraction and two-point correlation function $S_2(\mathbf{r})$ is generally infinite. To elucidate the degeneracy problem explicitly, we examine Debye…

Soft Condensed Matter · Physics 2021-10-15 Murray Skolnick , Salvatore Torquato