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We introduce a new variational method for the numerical homogenization of divergence form elliptic, parabolic and hyperbolic equations with arbitrary rough ($L^\infty$) coefficients. Our method does not rely on concepts of ergodicity or…

Numerical Analysis · Mathematics 2019-02-20 Houman Owhadi , Lei Zhang , Leonid Berlyand

Surface normal integration is a fundamental problem in computer vision, dealing with the objective of reconstructing a surface from its corresponding normal map. Existing approaches require an iterative global optimization to jointly…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Francesco Milano , Jen Jen Chung , Lionel Ott , Roland Siegwart

Previous harmonization methods focus on adjusting one inharmonious region in an image based on an input mask. They may face problems when dealing with different perturbations on different semantic regions without available input masks. To…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Xuqian Ren , Yifan Liu

We present a novel technique for Cosmic Microwave Background (CMB) foreground subtraction based on the framework of blind source separation. Inspired by previous work incorporating local variation to Generalized Morphological Component…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-28 Sebastian Wagner-Carena , Max Hopkins , Ana Diaz Rivero , Cora Dvorkin

An extreme-point symmetric mode decomposition (ESMD) method is proposed to improve the Hilbert-Huang Transform (HHT) through the following prospects: (1) The sifting process is implemented by the aid of 1, 2, 3 or more inner interpolating…

General Physics · Physics 2013-08-30 Jin-Liang Wang , Zong-Jun Li

In this work, we employ trajectory-based simulations to predict the electronic coherences created by nonadiabatic dynamics near conical intersections. The mapping approach to surface hopping (MASH) is compared with standard fewest-switches…

Chemical Physics · Physics 2025-05-09 Daniele Furlanetto , Jeremy O. Richardson

The homography matrix is a key component in various vision-based robotic tasks. Traditionally, homography estimation algorithms are classified into feature- or intensity-based. The main advantages of the latter are their versatility,…

Computer Vision and Pattern Recognition · Computer Science 2022-03-09 Lucas Nogueira , Ely C. de Paiva , Geraldo Silvera

Multi-spectral CT (MSCT) is increasingly used in industrial non-destructive testing and medical diagnosis because of its outstanding performance like material distinguishability. The process of obtaining MSCT data can be modeled as…

Numerical Analysis · Mathematics 2023-06-28 Huiying Pan , Shusen Zhao , Weibin Zhang , Huitao Zhang , Xing Zhao

This paper proposes a hybrid synthesis method for multi-exposure image fusion taken by hand-held cameras. Motions either due to the shaky camera or caused by dynamic scenes should be compensated before any content fusion. Any misalignment…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Ru Li , Guanghui Liu , Bing Zeng , Shuaicheng Liu

We study harmonic surfaces in $\mathbb{R}^3$ through the framework of harmonic Enneper immersions and prove a superposition principle for such surfaces. We prove that minimal and maximal surfaces admit a decomposition into harmonic…

Differential Geometry · Mathematics 2026-05-05 Priyank Vasu

Information transfer between triangle meshes is of great importance in computer graphics and geometry processing. To facilitate this process, a smooth and accurate map is typically required between the two meshes. While such maps can…

Graphics · Computer Science 2018-01-09 Danielle Ezuz , Justin Solomon , Mirela Ben-Chen

We propose a fast bivariate smoothing approach for symmetric surfaces that has a wide range of applications. We show how it can be applied to estimate the covariance function in longitudinal data as well as multiple additive covariances in…

Computation · Statistics 2016-09-23 Jona Cederbaum , Fabian Scheipl , Sonja Greven

A fast full-wave simulation technique is presented for the analysis of large irregular planar arrays of identical 3-D metallic antennas. The solution method relies on the Macro Basis Functions (MBF) approach and an interpolatory technique…

Instrumentation and Methods for Astrophysics · Physics 2018-05-09 Ha Bui-Van , Jens Abraham , Michel Arts , Quentin Gueuning , Christopher Raucy , David Gonzalez-Ovejero , Eloy de Lera Acedo , Christophe Craeye

Imaging spectrometers measure electromagnetic energy scattered in their instantaneous field view in hundreds or thousands of spectral channels with higher spectral resolution than multispectral cameras. Imaging spectrometers are therefore…

Data Analysis, Statistics and Probability · Physics 2012-04-25 José M. Bioucas-Dias , Antonio Plaza , Nicolas Dobigeon , Mario Parente , Qian Du , Paul Gader , Jocelyn Chanussot

We consider the problem of fusing an arbitrary number of multiband, i.e., panchromatic, multispectral, or hyperspectral, images belonging to the same scene. We use the well-known forward observation and linear mixture models with Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2018-07-19 Reza Arablouei

This paper studies the problem of hybrid holographic beamforming for sum-rate maximization in a communication system assisted by a reconfigurable holographic surface. Existing methodologies predominantly rely on gradient-based or…

Signal Processing · Electrical Eng. & Systems 2025-03-24 Chandan Kumar Sheemar , Wali Ullah Khan , George C. Alexandropoulos , Manzoor Ahmed , Symeon Chatzinotas

This paper designs a technique route to generate high-quality panoramic image with depth information, which involves two critical research hotspots: fusion of LiDAR and image data and image stitching. For the fusion of 3D points and image…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Hao Ma , Jingbin Liu , Zhirong Hu , Hongyu Qiu , Dong Xu , Zemin Wang , Xiaodong Gong , Sheng Yang

Joint Alignment (JA) of images aims to align a collection of images into a unified coordinate frame, such that semantically-similar features appear at corresponding spatial locations. Most existing approaches often require long training…

Computer Vision and Pattern Recognition · Computer Science 2025-10-30 Omri Hirsch , Ron Shapira Weber , Shira Ifergane , Oren Freifeld

In recent years, consumer-level depth cameras have been adopted for various applications. However, they often produce depth maps at only a moderately high frame rate (approximately 30 frames per second), preventing them from being used for…

Graphics · Computer Science 2018-11-06 Ming-Ze Yuan , Lin Gao , Hongbo Fu , Shihong Xia

A numerical method using implicit surface representations is proposed to solve the linearized Poisson-Boltzmann equations that arise in mathematical models for the electrostatics of molecules in solvent. The proposed method used an implicit…

Numerical Analysis · Mathematics 2018-04-04 Yimin Zhong , Kui Ren , Richard Tsai