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Implicitly described domains are a well established tool in the simulation of time dependent problems, e.g. using level-set methods. In order to solve partial differential equations on such domains, a range of numerical methods was…

Numerical Analysis · Computer Science 2016-01-16 Christian Engwer , Andreas Nüßing

An alternative generating function is proposed to enumerate row-convex polyominoes without internal holes on a discrete grid. The approach is based on integer partitions of the total area, where each partition corresponds to a sequence of…

Combinatorics · Mathematics 2026-05-06 Vincenzo M. Scarrica

Recently, sparsity-based algorithms are proposed for super-resolution spectrum estimation. However, to achieve adequately high resolution in real-world signal analysis, the dictionary atoms have to be close to each other in frequency,…

Machine Learning · Statistics 2015-06-05 Yiyuan She , Huanghuang Li , Jiangping Wang , Dapeng Wu

We introduce TexTile, a novel differentiable metric to quantify the degree upon which a texture image can be concatenated with itself without introducing repeating artifacts (i.e., the tileability). Existing methods for tileable texture…

Computer Vision and Pattern Recognition · Computer Science 2024-03-20 Carlos Rodriguez-Pardo , Dan Casas , Elena Garces , Jorge Lopez-Moreno

Region-based methods have proven necessary for improving segmentation accuracy of neuronal structures in electron microscopy (EM) images. Most region-based segmentation methods use a scoring function to determine region merging. Such…

Computer Vision and Pattern Recognition · Computer Science 2018-04-04 Ting Liu , Miaomiao Zhang , Mehran Javanmardi , Nisha Ramesh , Tolga Tasdizen

We propose a novel hue-preserving tone mapping scheme. Various tone mapping operations have been studied so far, but there are very few works on color distortion caused in image tone mapping. First, LDR images produced from HDR ones by…

Image and Video Processing · Electrical Eng. & Systems 2020-01-08 Yuma Kinoshita , Kouki Seo , Artit Visavakitcharoen , Hitoshi Kiya

Hybrid transceiver can strike a balance between complexity and performance of multiple-input multiple-output (MIMO) systems. In this paper, we develop a unified framework on hybrid MIMO transceiver design using matrix-monotonic…

Information Theory · Computer Science 2019-06-26 Chengwen Xing , Xin Zhao , Wei Xu , Xiaodai Dong , Geoffrey Ye Li

This paper introduces general methodologies for constructing closed-form solutions to linear constant-coefficient partial differential equations (PDEs) with polynomial right-hand sides in two and three spatial dimensions. Polynomial…

Numerical Analysis · Mathematics 2023-12-21 Thomas G. Anderson , Marc Bonnet , Luiz M. Faria , Carlos Pérez-Arancibia

When modeling scientific and industrial problems, geometries are typically modeled by explicit boundary representations obtained from computer-aided design software. Unfitted (also known as embedded or immersed) finite element methods offer…

Computational Engineering, Finance, and Science · Computer Science 2024-05-24 Pere A. Martorell , Santiago Badia

We theoretically propose directional, low-threshold plasmon lasing in both the near-infrared and visible wavelengths by utilizing spatially coherent surface plasmon polaritons on a meta-surface. The gain strength required for threshold…

Optics · Physics 2011-06-16 Yang Cao , Zeyong Wei , Wei Li , Anan Fang , Hongqiang Li , Xunya Jiang , Hong Chen , C. T. Chan

ThreadTone is an NPR representation of an input image by half-toning using threads on a circle. Current approaches to create ThreadTone paintings greedily draw the chords on the circle. We introduce the concept of chord space, and design a…

Graphics · Computer Science 2018-02-14 Xiao-Nan Fang , Bin Liu , Ariel Shamir

Polyhedral compilers perform optimizations such as tiling and parallelization; when doing both, they usually generate code that executes "barrier-synchronized wavefronts" of tiles. We present a system to express and generate code for hybrid…

Programming Languages · Computer Science 2016-10-25 Tian Jin , Nirmal Prajapati , Waruna Ranasinghe , Guillaume Iooss , Yun Zou , Sanjay Rajopadhye , David Wonnacott

Given a graph $G$ and collection of subgraphs $T$ (called tiles), we consider covering $G$ with copies of tiles in $T$ so that each vertex $v\in G$ is covered with a predetermined multiplicity. The multinomial tiling model is a natural…

Probability · Mathematics 2021-04-08 Richard Kenyon , Cosmin Pohoata

To cope with the high requirements during the computation of semantic segmentations of earth observation imagery, current state-of-the-art pipelines divide the corresponding data into smaller images. Existing methods and benchmark datasets…

Computer Vision and Pattern Recognition · Computer Science 2023-06-08 Sebastian Bullinger , Florian Fervers , Christoph Bodensteiner , Michael Arens

Nonreciprocal devices that permit wave transmission in only one direction are indispensible in many fields of science including, e.g., electronics, optics, acoustics, and thermodynamics. Manipulating phonons using such nonreciprocal devices…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 Jing Zhang , Bo Peng , Sahin Kaya Ozdemir , Yu-xi Liu , Hui Jing , Xin-you Lu , Yu-long Liu , Lan Yang , Franco Nori

A valley filter capable of generating a valley-polarized current is a crucial element in valleytronics, yet its implementation remains challenging. Here, we propose a valley filter made of a graphene bilayer which exhibits a 1D moir\'{e}…

Mesoscale and Nanoscale Physics · Physics 2024-04-19 Kai Shao , Hao Geng , Erfu Liu , Jose L. Lado , Wei Chen , D. Y. Xing

A new method for constructing self-referential tilings of Euclidean space from a graph directed iterated function system, based on a combinatorial structure we call a pre-tree, is introduced. In the special case that we refer to as…

Metric Geometry · Mathematics 2019-12-06 Michael Barnsley , Andrew Vince

How, in principle, could one solve the atomic structure of a quasicrystal, modeled as a random tiling decorated by atoms, and what techniques are available to do it? One path is to solve the phase problem first, obtaining the density in a…

Materials Science · Physics 2007-05-23 C. L. Henley , V. Elser , M. Mihalkovic

In this paper we introduce a working generalization of the theory of Gr\"obner bases for algebras of partial difference polynomials with constant coefficients. One obtains symbolic (formal) computation for systems of linear or non-linear…

Rings and Algebras · Mathematics 2013-07-24 Roberto La Scala

This paper presents a new method for modelling periodic signals having an aperiodic trend, using the method of variable projection. It is a major extension to the IEEE-standard 1057 by permitting the background to be time varying;…

Signal Processing · Electrical Eng. & Systems 2023-11-21 Johannes Handler , Dimitar Ninevski , Paul O'Leary