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We consider deformations of the scalar curvature of a partially integrable pseudohermitian manifold, in analogy with the work of Fischer and Marsden on Riemannian manifolds. In particular, we introduce and discuss $R$-singular spaces, give…

Differential Geometry · Mathematics 2024-04-11 Jeffrey S. Case , Pak Tung Ho

A vital issue of file carving in digital forensics is type classification of file fragments when the filesystem metadata is missing. Over the past decades, there have been several efforts for developing methods to classify file fragments.…

Cryptography and Security · Computer Science 2023-10-09 Shahid Alam

Image registration has traditionally been done using two distinct approaches: learning based methods, relying on robust deep neural networks, and optimization-based methods, applying complex mathematical transformations to warp images…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Gabriel De Araujo , Shanlin Sun , Xiaohui Xie

Image features detection and description is a longstanding topic in computer vision and pattern recognition areas. The Scale Invariant Feature Transform (SIFT) is probably the most popular and widely demanded feature descriptor which…

Computer Vision and Pattern Recognition · Computer Science 2015-04-14 Ahmad Pahlavan Tafti , Hamid Hassannia , Zeyun Yu

Overcoming diffraction limit is crucial for obtaining high-resolution image and observing fine microstructure. With this conventional difficulty still puzzling us and the prosperous development of wave dynamics of light interacting with…

Optics · Physics 2023-08-21 Jingxuan Zhang , Chenni Xu , Patrick Sebbah , Li-Gang Wang

Inverse problems in imaging are typically ill-posed and are usually solved by employing regularized optimization techniques. The usage of appropriate constraints can restrict the solution space, thus making it feasible for a reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2025-11-14 Jasleen Birdi , Tamal Majumder , Debanjan Halder , Muskan Kularia , Kedar Khare

Object detection is a fundamental task in computer vision and has many applications in image processing. This paper proposes a new approach for object detection by applying scale invariant feature transform (SIFT) in an automatic…

Computer Vision and Pattern Recognition · Computer Science 2012-10-29 Reza Oji , Farshad Tajeripour

Different fonts have different impressions, such as elegant, scary, and cool. This paper tackles part-based shape-impression analysis based on the Transformer architecture, which is able to handle the correlation among local parts by its…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Masaya Ueda , Akisato Kimura , Seiichi Uchida

We introduce an (equi-)affine invariant diffusion geometry by which surfaces that go through squeeze and shear transformations can still be properly analyzed. The definition of an affine invariant metric enables us to construct an invariant…

Computer Vision and Pattern Recognition · Computer Science 2010-12-30 Dan Raviv , Alexander M. Bronstein , Michael M. Bronstein , Ron Kimmel , Nir Sochen

Computer vision research has long aimed to build systems that are robust to spatial transformations found in natural data. Traditionally, this is done using data augmentation or hard-coding invariances into the architecture. However, too…

Computer Vision and Pattern Recognition · Computer Science 2024-02-19 Utkarsh Singhal , Carlos Esteves , Ameesh Makadia , Stella X. Yu

Recent progress in graph signal processing (GSP) has addressed a number of problems, including sampling and filtering. Proposed methods have focused on generic graphs and defined signals with certain characteristics, e.g., bandlimited…

Signal Processing · Electrical Eng. & Systems 2019-03-22 Benjamin Girault , Antonio Ortega

Multi-focus image fusion (MFF) is a popular technique to generate an all-in-focus image, where all objects in the scene are sharp. However, existing methods pay little attention to defocus spread effects of the real-world multi-focus…

Computer Vision and Pattern Recognition · Computer Science 2021-02-02 Shuang Xu , Lizhen Ji , Zhe Wang , Pengfei Li , Kai Sun , Chunxia Zhang , Jiangshe Zhang

Sharp isoperimetric inequalities for the sine transform of even isotropic measures are established. The corresponding reverse inequalities are obtained in an asymptotically optimal form. These new inequalities have direct applications to…

Metric Geometry · Mathematics 2012-08-01 Gabriel Maresch , Franz E. Schuster

In the present paper we investigate the mechanics of systems of affinely-rigid bodies, i.e., bodies rigid in the sense of affine geometry. Certain physical applications are possible in modelling of molecular crystals, granular media, and…

Direct numerical simulations of turbulent channels with rough walls are conducted in the transitionally rough regime. The effect that roughness produces on the overlying turbulence is studied using a modified triple decomposition of the…

Fluid Dynamics · Physics 2020-07-21 Nabil Abderrahaman-Elena , Chris T. Fairhall , Ricardo García-Mayoral

Soft solids differ from stiff solids in an important way: their surface stresses can drive large deformations. Based on a topical workshop held in the Lorentz Center in Leiden, this Opinion highlights some recent advances in the growing…

Purpose: The long scan times of quantitative MRI techniques make motion artifacts more likely. For MR-Fingerprinting-like approaches, this problem can be addressed with self-navigated retrospective motion correction based on reconstructions…

Medical Physics · Physics 2025-06-18 Elisa Marchetto , Sebastian Flassbeck , Andrew Mao , Jakob Assländer

Soft porous materials, such as biological tissues and soils, are exposed to periodic deformations in a variety of natural and industrial contexts. The detailed flow and mechanics of these deformations have not yet been systematically…

Fluid Dynamics · Physics 2023-06-30 Matilde Fiori , Satyajit Pramanik , Christopher W. MacMinn

A Very recent trend has emerged to couple the notion of interpretability and adversarial robustness, unlike earlier efforts which solely focused on good interpretations or robustness against adversaries. Works have shown that adversarially…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Puneet Mangla , Vedant Singh , Vineeth N Balasubramanian

Goal: A limitation in robotic surgery is the lack of force feedback, due to challenges in suitable sensing techniques. To enhance the perception of the surgeons and precise force rendering, estimation of these forces along with tissue…

Systems and Control · Electrical Eng. & Systems 2025-04-30 Srikar Annamraju , Yuxi Chen , Jooyoung Lim , Inki Kim