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Super-resolution theory aims to estimate the discrete components lying in a continuous space that constitute a sparse signal with optimal precision. This work investigates the potential of recent super-resolution techniques for spectral…

Information Theory · Computer Science 2016-11-24 M. Ferreira Da Costa , W. Dai

In this paper, a color edge detection strategy based on collaborative filtering combined with multiscale gradient fusion is proposed. The block-matching and 3D (BM3D) filter are used to enhance the sparse representation in the transform…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Zhuoyue Wang , Yiyi Tao , Danqing Ma , Jiajing Chen

We propose a novel approach which employs random sampling to generate an accurate non-uniform mesh for numerically solving Partial Differential Equation Boundary Value Problems (PDE-BVP's). From a uniform probability distribution U over a…

Numerical Analysis · Mathematics 2011-03-29 David Bortz , Andrew Christlieb

Self-supervised cross-modal super-resolution (SR) can overcome the difficulty of acquiring paired training data, but is challenging because only low-resolution (LR) source and high-resolution (HR) guide images from different modalities are…

Computer Vision and Pattern Recognition · Computer Science 2022-07-20 Xiaoyu Dong , Naoto Yokoya , Longguang Wang , Tatsumi Uezato

Partially observable Markov decision processes (POMDPs) provide a flexible representation for real-world decision and control problems. However, POMDPs are notoriously difficult to solve, especially when the state and observation spaces are…

Artificial Intelligence · Computer Science 2023-10-20 Michael H. Lim , Tyler J. Becker , Mykel J. Kochenderfer , Claire J. Tomlin , Zachary N. Sunberg

In this paper, we present a surface remeshing method with high approximation quality based on Principal Component Analysis. Given a triangular mesh and a user assigned polygon/vertex budget, traditional methods usually require the extra…

Graphics · Computer Science 2018-04-10 Yiqi Cai , Xiaohu Guo , Yang Liu , Wenping Wang , Weihua Mao , Zichun Zhong

We present a boundary-spheropolygon element method (BSEM), that combines the boundary integral method (BIM) and the spheropolygon-based discrete element method (SEM). The interaction between particles is simulated via the SEM, and the…

Soft Condensed Matter · Physics 2019-02-06 Yupeng Jiang , Hans J. Herrmann , Fernando Alonso-Marroquin

We present differentiable point-based inverse rendering, DPIR, an analysis-by-synthesis method that processes images captured under diverse illuminations to estimate shape and spatially-varying BRDF. To this end, we adopt point-based…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Hoon-Gyu Chung , Seokjun Choi , Seung-Hwan Baek

Automatic segmentation of breast tumors from the ultrasound images is essential for the subsequent clinical diagnosis and treatment plan. Although the existing deep learning-based methods have achieved significant progress in automatic…

Image and Video Processing · Electrical Eng. & Systems 2023-10-24 Xing Yang , Jian Zhang , Qijian Chen , Li Wang , Lihui Wang

We introduce a new technique, which we call the boundary method, for solving semi-discrete optimal transport problems with a wide range of cost functions. The boundary method reduces the effective dimension of the problem, thus improving…

Numerical Analysis · Mathematics 2019-05-03 Luca Dieci , J. D. Walsh

We consider geometric multigrid methods for the solution of linear systems arising from isogeometric discretizations of elliptic partial differential equations. For classical finite elements, such methods are well known to be fast solvers…

Numerical Analysis · Mathematics 2017-05-16 Clemens Hofreither , Stefan Takacs , Walter Zulehner

We develop a novel algorithm for large-scale holographic reconstruction of 3D particle fields. Our method is based on a multiple-scattering beam propagation method (BPM) combined with sparse regularization that enables recovering dense 3D…

Optics · Physics 2021-05-24 Hao Wang , Waleed Tahir , Jiabei Zhu , Lei Tian

Multi-frequency subspace migration imaging technique are usually adopted for the non-iterative imaging of unknown electromagnetic targets such as cracks in the concrete walls or bridges, anti-personnel mines in the ground, etc. in the…

Mathematical Physics · Physics 2014-12-23 Won-Kwang Park

This letter describes an incremental multimodal surface mapping methodology, which represents the environment as a continuous probabilistic model. This model enables high-resolution reconstruction while simultaneously compressing spatial…

Robotics · Computer Science 2024-04-18 Kshitij Goel , Wennie Tabib

Image segmentation some of the challenging issues on brain magnetic resonance image tumor segmentation caused by the weak correlation between magnetic resonance imaging intensity and anatomical meaning.With the objective of utilizing more…

Computer Vision and Pattern Recognition · Computer Science 2014-03-25 Narkhede Sachin G. , Vaishali Khairnar , Sujata Kadu

This work introduces an unbiased minimum variance painting of the pixel domain CMB maps for both the missing and available sky regions. In the missing region, it generates CMB realizations that have identical statistical properties to the…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Hao Liu

Protein/Peptide microarrays are rapidly gaining momentum in the diagnosis of cancer. High-density and highthroughput peptide arrays are being extensively used to detect tumor biomarkers, examine kinase activity, identify antibodies having…

Data Structures and Algorithms · Computer Science 2015-03-13 Vamsi Kundeti , Sanguthevar Rajasekaran , Hieu Dinh

To what extent can particulate random media be characterised using direct wave backscattering from a single receiver/source? Here, in a two dimensional setting, we show using a machine learning approach that both the particle radius and…

Computational Physics · Physics 2018-08-15 Artur L. Gower , Robert M. Gower , Jonathan Deakin , William J. Parnell , I. David Abrahams

Many applications like subseismic fault modeling, fractured reservoir modeling and interpretation/validation of fault connectivity involve the solution to an elliptic boundary value problem in a background medium perturbed by the presence…

Optimization and Control · Mathematics 2025-01-10 Trung Hau Hoang

The boundary knot method (BKM) is a recent boundary-type radial basis function (RBF) collocation scheme for general PDEs. Like the method of fundamental solution (MFS), the RBF is employed to approximate the inhomogeneous terms via the dual…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 W. Chen