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Interpolation by various types of splines is the standard procedure in many applications. In this paper we shall discuss harmonic spline "interpolation" (on the lines of a grid) as an alternative to polynomial spline interpolation (at…

Numerical Analysis · Mathematics 2011-01-17 Yuliya Babenko , Tatyana Leskevich

The calculation of potential energy surfaces for quantum dynamics can be a time consuming task -- especially when a high level of theory for the electronic structure calculation is required. We propose an adaptive interpolation algorithm…

Chemical Physics · Physics 2016-08-24 Markus Kowalewski , Elisabeth Larsson , Alfa Heryudono

This paper solves the Sparse Photometric stereo through Lighting Interpolation and Normal Estimation using a generative Network (SPLINE-Net). SPLINE-Net contains a lighting interpolation network to generate dense lighting observations given…

Computer Vision and Pattern Recognition · Computer Science 2019-10-10 Qian Zheng , Yiming Jia , Boxin Shi , Xudong Jiang , Ling-Yu Duan , Alex C. Kot

The detailed shapes of spectral line profiles provide valuable information about the emitting plasma, especially when the plasma contains an unresolved mixture of velocities, temperatures, and densities. As a result of finite spectral…

Solar and Stellar Astrophysics · Physics 2015-07-17 James A. Klimchuk , Spiros Patsourakos , Durgesh Tripathi

This paper presents an integrated approach to Visual SLAM, merging online sequential photometric calibration within a Hybrid direct-indirect visual SLAM (H-SLAM). Photometric calibration helps normalize pixel intensity values under…

Robotics · Computer Science 2024-09-26 Nicolas Abboud , Malak Sayour , Imad H. Elhajj , John Zelek , Daniel Asmar

In this paper we focus, from a mathematical point of view, on properties and performances of some local interpolation schemes for landmark-based image registration. Precisely, we consider modified Shepard's interpolants, Wendland's…

Numerical Analysis · Mathematics 2014-03-24 Giampietro Allasia , Roberto Cavoretto , Alessandra De Rossi

Spline interpolation has been used in several applications due to its favorable properties regarding smoothness and accuracy of the interpolant. However, when there exists a discontinuity or a steep gradient in the data, some artifacts can…

Numerical Analysis · Mathematics 2021-12-21 Francesc Aràndiga , Antonio Baeza , Dionisio F. Yáñez

We present a new technique for the interpolation of discretely-sampled non-negat ive scalar fields across regions of missing data. Any set of basis functions can be used, though the method is fastest when they are close to orthogonal. We…

Astrophysics · Physics 2007-05-23 Will Saunders , Bill E. Ballinger

Imaging in low-light environments is challenging due to reduced scene radiance, which leads to elevated sensor noise and reduced color saturation. Most learning-based low-light enhancement methods rely on paired training data captured under…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Maria Pilligua , David Serrano-Lozano , Pai Peng , Ramon Baldrich , Michael S. Brown , Javier Vazquez-Corral

Using a deterministic framework allows us to estimate a function with the purpose of interpolating data in spatial statistics. Radial basis functions are commonly used for scattered data interpolation in a d-dimensional space, however,…

Computation · Statistics 2024-04-03 Joaquin Cavieres , Michael Karkulik

One of the possible variants of the classification of trigonometric interpolation splines is considered, depending on the chosen convergence factors, the distribution of signs of the basis functions and the interpolation factors. The…

Numerical Analysis · Mathematics 2019-10-03 V. P. Denysiuk

Contemporary Low-Light Image Enhancement (LLIE) techniques have made notable advancements in preserving image details and enhancing contrast, achieving commendable results on specific datasets. Nevertheless, these approaches encounter…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Xiaofeng Liu , Jiaxin Gao , Xin Fan , Risheng Liu

We develop adaptive data-driven traffic light controllers for a grid-like traffic network considering straight, left-turn, and right-turn traffic flows. The analysis incorporates transit delays and blocking effects on vehicle movements…

Systems and Control · Electrical Eng. & Systems 2024-04-29 Yingqing Chen , Christos G. Cassandras

Optical speckle patterns have been widely used for illumination in computational imaging, optical sectioning microscopy, and super-resolution imaging. However, commonly used speckles satisfy Rayleigh statistics, which are not ideal for…

In this paper a general theory for interpolation methods on a rectangular grid is introduced. By the use of this theory an efficient B-spline based interpolation method for spectral codes is presented. The theory links the order of the…

Computational Physics · Physics 2012-01-20 M. A. T. van Hinsberg , J. H. M. ten Thije Boonkkamp , F. Toschi , H. J. H. Clercx

We develop a local polynomial spline interpolation scheme for arbitrary spline order on bounded intervals. Our method's local formulation, effective boundary considerations and optimal interpolation error rate make it particularly useful…

Numerical Analysis · Mathematics 2015-12-01 Maria D. van der Walt

This paper investigates a variational model for splines in the image metamorphosis model for the smooth interpolation of key frames in the space of images. The Riemannian manifold of images based on the metamorphosis model defines shortest…

Numerical Analysis · Mathematics 2024-02-28 Jorge Justiniano , Marko Rajković , Martin Rumpf

Line intensity mapping (LIM) is a rapidly emerging technique for constraining cosmology and galaxy formation using multi-frequency, low angular resolution maps. Many LIM applications crucially rely on cross-correlations of two line…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-29 Emmanuel Schaan , Martin White

There are many methods for image enhancement. Image inpainting is one of them which could be used in reconstruction and restoration of scratch images or editing images by adding or removing objects. According to its application, different…

Image and Video Processing · Electrical Eng. & Systems 2019-11-05 Zahra Nabizadeh , Ghazale Ghorbanzade , Nader Karimi , Shadrokh Samavi

Non-circuit theory drift-diffusion numerical simulation of standard potentiostatic impedance spectroscopy (IS) is a well-known strategy for characterization of materials and electronic devices. It implies the time-dependent solutions from…

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