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A robust and fast solver for the fractional differential equation (FDEs) involving the Riesz fractional derivative is developed using an adaptive finite element method on non-uniform meshes. It is based on the utilization of hierarchical…

Numerical Analysis · Mathematics 2017-10-11 Xuan Zhao , Xiaozhe Hu , Wei Cai , George Em Karniadakis

Image feature matching is to seek, localize and identify the similarities across the images. The matched local features between different images can indicate the similarities of their content. Resilience of image feature matching to large…

Computer Vision and Pattern Recognition · Computer Science 2018-02-28 Biao Zhao , Shigang Yue

Edge detection, as a core component in a wide range of visionoriented tasks, is to identify object boundaries and prominent edges in natural images. An edge detector is desired to be both efficient and accurate for practical use. To achieve…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Yuanbin Fu , Xiaojie Guo

Multi-fidelity modeling and learning are important in physical simulation-related applications. It can leverage both low-fidelity and high-fidelity examples for training so as to reduce the cost of data generation while still achieving good…

Machine Learning · Computer Science 2022-10-25 Shibo Li , Zheng Wang , Robert M. Kirby , Shandian Zhe

Microscopy is an essential tool in imaging research, and the edge-enhanced microscope by using the vortex filter is of particular interest as an optical information processing that highlights amplitude and phase edges of object in all…

Optics · Physics 2025-10-27 Jigme Zangpo , Hirokazu Kobayashi

The proposed two-dimensional geometrically exact beam element extends our previous work by including the effects of shear distortion, and also of distributed forces and moments acting along the beam. The general flexibility-based…

Numerical Analysis · Mathematics 2025-08-06 Milan Jirasek , Martin Horak , Emma La Malfa Ribolla , Chiara Bonvissuto

Plant electrical signals often contains low frequency drifts with or without the application of external stimuli. Quantification of the randomness in plant signals in a stimulus-specific way is hindered because the knowledge of vital…

The objective of this work is the development of a novel finite element formulation describing the contact interaction of slender beams in complex 3D configurations involving arbitrary beam-to-beam orientations. It is shown in a…

Computational Engineering, Finance, and Science · Computer Science 2018-05-28 Christoph Meier , Alexander Popp , Wolfgang A. Wall

It remains an open problem to find the optimal configuration of phase shifts under the discrete constraint for intelligent reflecting surface (IRS) in polynomial time. The above problem is widely believed to be difficult because it is not…

Information Theory · Computer Science 2023-09-08 Shuyi Ren , Kaiming Shen , Xin Li , Xin Chen , Zhi-Quan Luo

The numerical analysis of elastic wave propagation in unbounded media may be difficult to handle due to spurious waves reflected at the model artificial boundaries. Several sophisticated techniques such as nonreflecting boundary conditions,…

Classical Physics · Physics 2010-09-06 Jean-François Semblat , Ali Gandomzadeh , Luca Lenti

Particle tracking is common in many biophysical, ecological, and micro-fluidic applications. Reliable tracking information is heavily dependent on of the system under study and algorithms that correctly determines particle position between…

Computer Vision and Pattern Recognition · Computer Science 2016-05-12 Alvaro Rodriguez , Hanqing Zhang , Krister Wiklund , Tomas Brodin , Jonatan Klaminder , Patrik Andersson , Magnus Andersson

The edge detection task is essential in image processing aiming to extract relevant information from an image. One recurring problem in this task is the weaknesses found in some detectors, such as the difficulty in detecting loose edges and…

Computer Vision and Pattern Recognition · Computer Science 2025-10-31 Vinícius Ferraria , Eurico Ruivo

Once weakly-interacting massive particles (WIMPs) are unambiguously detected in direct-detection experiments, the challenge will be to determine what one may infer from the data. Here, I examine the prospects for reconstructing the local…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-29 Annika H. G. Peter

Stack filters are a special case of non-linear filters. They have a good performance for filtering images with different types of noise while preserving edges and details. A stack filter decomposes an input image into several binary images…

Computer Vision and Pattern Recognition · Computer Science 2012-07-19 Maria E. Buemi , Marta Mejail , Julio Jacobo , Alejandro C. Frery , Heitor S. Ramos

A reliable extraction of filament data from microscopic images is of high interest in the analysis of acto-myosin structures as early morphological markers in mechanically guided differentiation of human mesenchymal stem cells and the…

Computer Vision and Pattern Recognition · Computer Science 2015-07-15 Benjamin Eltzner , Carina Wollnik , Carsten Gottschlich , Stephan Huckemann , Florian Rehfeldt

To address the challenge of capturing highly discriminative features in ther-mal infrared (TIR) tracking, we propose a novel Siamese tracker based on cross-channel fine-grained feature learning and progressive fusion. First, we introduce a…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 Ruoyan Xiong , Yuke Hou , Princess Retor Torboh , Hui He , Huanbin Zhang , Yue Zhang , Yanpin Wang , Huipan Guan , Shang Zhang

Efficiently solving the continuous-time signal and discrete-time observation filtering problem for chaotic dynamical systems presents unique challenges in that the advected distribution between observations may encounter a separatrix…

Chaotic Dynamics · Physics 2025-04-07 Ryne Beeson , Uwe Hanebeck

Digital filters for recursively computing the discrete Fourier transform (DFT) and estimating the frequency spectrum of sampled signals are examined, with an emphasis on magnitude-response and numerical stability. In this tutorial-style…

Systems and Control · Computer Science 2015-08-26 Hugh L. Kennedy

We propose a two-stage algorithm for the super-resolution of MR images from their low-frequency k-space samples. In the first stage we estimate a resolution-independent mask whose zeros represent the edges of the image. This builds off…

Computer Vision and Pattern Recognition · Computer Science 2015-02-06 Greg Ongie , Mathews Jacob

In this article we consider two problems: FIR (Finite Impulse Response) approximation of IIR (Infinite Impulse Response) filters and inverse FIR filtering of FIR or IIR filters. By means of Kalman-Yakubovich-Popov (KYP) lemma and its…

Information Theory · Computer Science 2013-08-12 Masaaki Nagahara