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Approximation theory plays an important role in image processing, especially image deconvolution and decomposition. For piecewise smooth images, there are many methods that have been developed over the past thirty years. The goal of this…

Computer Vision and Pattern Recognition · Computer Science 2016-11-29 Duy Hoang Thai , David Banks

This paper focuses on improved edge model based on Curvelet coefficients analysis. Curvelet transform is a powerful tool for multiresolution representation of object with anisotropic edge. Curvelet coefficients contributions have been…

Computer Vision and Pattern Recognition · Computer Science 2013-05-20 A. Djimeli , D. Tchiotsop , R. Tchinda

Many tools and techniques measure local structure in materials in contexts ranging from biology to geology. We provide a survey of those tools and metrics that are especially useful for analyzing particulate soft matter. The metrics we…

Soft Condensed Matter · Physics 2026-01-13 Rachael S. Skye , Erin G. Teich

Fine-grained geometry, captured by aggregation of point features in local regions, is crucial for object recognition and scene understanding in point clouds. Nevertheless, existing preeminent point cloud backbones usually incorporate…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Jie Wang , Jianan Li , Lihe Ding , Ying Wang , Tingfa Xu

The use of relative attribute (e.g., beautiful, safe, convenient) -based image embeddings in visual place recognition, as a domain-adaptive compact image descriptor that is orthogonal to the typical approach of absolute attribute (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Ryogo Yamamoto , Kanji Tanaka

I describe an algebro-geometric theory of skeleta, which provides a unified setting for the study of tropical varieties, skeleta of non-Archimedean analytic spaces, and affine manifolds with singularities. Skeleta are spaces equipped with a…

Algebraic Geometry · Mathematics 2017-09-11 Andrew W. Macpherson

Porous structures are materials consisting of minuscule pores, where the microstructure morphology significantly impacts their macroscopic properties. Integrating different porous structures through a blending method is indispensable to…

Graphics · Computer Science 2024-06-03 Depeng Gao , Yang Gao , Yuanzhi Zhang , Hongwei Lin

In this paper, we bring together two divergent strands of research: photometric face capture and statistical 3D face appearance modelling. We propose a novel lightstage capture and processing pipeline for acquiring ear-to-ear, truly…

Computer Vision and Pattern Recognition · Computer Science 2020-06-22 William A. P. Smith , Alassane Seck , Hannah Dee , Bernard Tiddeman , Joshua Tenenbaum , Bernhard Egger

In this work, we focus on the task of learning and representing dense correspondences in deformable object categories. While this problem has been considered before, solutions so far have been rather ad-hoc for specific object types (i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 Natalia Neverova , David Novotny , Vasil Khalidov , Marc Szafraniec , Patrick Labatut , Andrea Vedaldi

This work focuses on mitigating two limitations in the joint learning of local feature detectors and descriptors. First, the ability to estimate the local shape (scale, orientation, etc.) of feature points is often neglected during dense…

Computer Vision and Pattern Recognition · Computer Science 2020-04-21 Zixin Luo , Lei Zhou , Xuyang Bai , Hongkai Chen , Jiahui Zhang , Yao Yao , Shiwei Li , Tian Fang , Long Quan

The living body is composed of innumerable fine and complex structures and although these structures have been studied in the past, a vast amount of information pertaining to them still remains unknown. When attempting to observe these…

Medical Physics · Physics 2021-11-30 Raku Son , Kenji Yamazawa , Akiko Oguchi , Mitsuo Suga , Masaru Tamura , Yasuhiro Murakawa , Satoshi Kume

This work reports a new methodology aimed at describing characteristics of protein structural shapes, and suggests a framework in which to resolve or classify automatically such structures into known families. This new approach to protein…

Quantitative Methods · Quantitative Biology 2007-05-23 Marconi Soares Barbosa , Rinaldo Wander Montalvao , Tom Blundell , Luciano da Fontoura Costa

Particle filters are computational techniques for estimating the state of dynamical systems by integrating observational data with model predictions. This work introduces a class of Localized Particle Filters (LPFs) that exploit spatial…

Applications · Statistics 2025-07-10 Dan Crisan , Eliana Fausti

Amodal segmentation targets to predict complete object masks, covering both visible and occluded regions. This task poses significant challenges due to complex occlusions and extreme shape variation, from rigid furniture to highly…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Zhixuan Li , Yujia Liu , Chen Hui , Jeonghaeng Lee , Sanghoon Lee , Weisi Lin

Image matching, which establishes correspondences between two-view images to recover 3D structure and camera geometry, serves as a cornerstone in computer vision and underpins a wide range of applications, including visual localization, 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Shihua Zhang , Zizhuo Li , Kaining Zhang , Yifan Lu , Yuxin Deng , Linfeng Tang , Xingyu Jiang , Jiayi Ma

Living biological tissue is a complex system, constantly growing and changing in response to external and internal stimuli. These processes lead to remarkable and intricate changes in shape. Modeling and understanding both natural and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Edwin Tay , Nazli Tümer , Amir A. Zadpoor

In many image processing applications, such as segmentation and classification, the selection of robust features descriptors is crucial to improve the discrimination capabilities in real world scenarios. In particular, it is well known that…

Computer Vision and Pattern Recognition · Computer Science 2011-12-01 Rodrigo Nava , Gabriel Cristóbal , Boris Escalante-Ramírez

We analyse the singularity formation of congruences of solutions of systems of second order PDEs via the construction of \emph{shape maps}. The trace of such maps represents a congruence volume whose collapse we study through an appropriate…

Differential Geometry · Mathematics 2023-07-20 O. Rossi , D. J. Saunders , G. E. Prince

Although unsupervised generative modeling of an image dataset using a Variational AutoEncoder (VAE) has been used to detect anomalous images, or anomalous regions in images, recent works have shown that this method often identifies images…

Computer Vision and Pattern Recognition · Computer Science 2020-08-13 David Dehaene , Pierre Eline

With the explosive growth of web-based cameras and mobile devices, billions of photographs are uploaded to the internet. We can trivially collect a huge number of photo streams for various goals, such as image clustering, 3D scene…

Computer Vision and Pattern Recognition · Computer Science 2014-09-16 Ju Shen , Jianjun Yang , Sami Taha-abusneineh , Bryson Payne , Markus Hitz