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The combination of several socio-economic data bases originating from different administrative sources collected on several different partitions of a geographic zone of interest into administrative units induces the so called areal…

Methodology · Statistics 2015-01-30 Van Huyen Do , Christine Thomas-Agnan , Anne Vanhems

A corpus of recent work has revealed that the learned index can improve query performance while reducing the storage overhead. It potentially offers an opportunity to address the spatial query processing challenges caused by the surge in…

Databases · Computer Science 2021-02-16 Songnian Zhang , Suprio Ray , Rongxing Lu , Yandong Zheng

In the feature maps of CNNs, there commonly exists considerable spatial redundancy that leads to much repetitive processing. Towards reducing this superfluous computation, we propose to compute features only at sparsely sampled locations,…

Computer Vision and Pattern Recognition · Computer Science 2020-09-07 Zhenda Xie , Zheng Zhang , Xizhou Zhu , Gao Huang , Stephen Lin

In this paper, we propose a new trigonometric interpolation algorithm and establish relevant convergent properties. The method adjusts an existing trigonometric interpolation algorithm such that it can better leverage Fast Fourier Transform…

Numerical Analysis · Mathematics 2025-05-06 Xiaorong Zou

Given the widespread availability of grids of models for stellar atmospheres, it is necessary to recover intermediate atmospheric models by means of accurate techniques that go beyond simple linear interpolation and capture the intricacies…

Instrumentation and Methods for Astrophysics · Physics 2023-07-26 C. Westendorp Plaza , A. Asensio Ramos , C. Allende Prieto

The Atmospheric Radiation Measurement program is a U.S. Department of Energy project that collects meteorological observations at several locations around the world in order to study how weather processes affect global climate change. As…

Applications · Statistics 2013-12-02 Joseph Guinness , Michael L. Stein

Interpolation models are critical for a wide range of applications, from numerical optimization to artificial intelligence. The reliability of the provided interpolated value is of utmost importance, and it is crucial to avoid the…

Numerical Analysis · Mathematics 2023-08-15 Daniele Peri

BCI Motor Imagery datasets usually are small and have different electrodes setups. When training a Deep Neural Network, one may want to capitalize on all these datasets to increase the amount of data available and hence obtain good…

Signal Processing · Electrical Eng. & Systems 2022-11-07 Yassine El Ouahidi , Lucas Drumetz , Giulia Lioi , Nicolas Farrugia , Bastien Pasdeloup , Vincent Gripon

Calculation of near-neighbor interactions among high dimensional, irregularly distributed data points is a fundamental task to many graph-based or kernel-based machine learning algorithms and applications. Such calculations, involving…

The basic formal and numerical aspects of different degree interpolated moving least-squares (IMLS) methods are studied using sixteen different combinations of coordinate system for fitting and weight functions. For the application we use…

Chemical Physics · Physics 2007-05-23 Akio Kawano , Gia G. Maisuradze

Urban regions are complicated functional systems that are closely associated with and reshaped by human activities. The propagation of online geographic information-sharing platforms and mobile devices equipped with Global Positioning…

Computer Vision and Pattern Recognition · Computer Science 2021-03-23 Zhinan Qiao , Xiaohui Yuan

In this paper we propose a new efficient interpolation tool, extremely suitable for large scattered data sets. The partition of unity method is used and performed by blending Radial Basis Functions (RBFs) as local approximants and using…

Numerical Analysis · Mathematics 2016-04-18 R. Cavoretto , A. De Rossi , E. Perracchione

We introduce an adaptive scattered data fitting scheme as extension of local least squares approximations to hierarchical spline spaces. To efficiently deal with non-trivial data configurations, the local solutions are described in terms of…

Numerical Analysis · Mathematics 2017-04-28 Cesare Bracco , Carlotta Giannelli , Alessandra Sestini

Although 3D shape matching and interpolation are highly interrelated, they are often studied separately and applied sequentially to relate different 3D shapes, thus resulting in sub-optimal performance. In this work we present a unified…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Dongliang Cao , Marvin Eisenberger , Nafie El Amrani , Daniel Cremers , Florian Bernard

Monthly precipitation climatologies at 1 km resolution have been produced over the Norwegian mainland for 1981-2010. The observed station normals are interpolated over a regular grid by applying a multi-linear local regression kriging…

Atmospheric and Oceanic Physics · Physics 2018-04-16 Alice Crespi , Cristian Lussana , Michele Brunetti , Andreas Dobler , Maurizio Maugeri , Ole Einar Tveito

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

Sparse sensor networks in weather and ocean modeling observe only a small fraction of the system state, which destabilizes standard nudging-based data assimilation. We introduce Interpolated Discrepancy Data Assimilation (IDDA), which…

Numerical Analysis · Mathematics 2025-11-03 Tong Wu , Humberto Godinez , Vitaliy Gyrya , James M. Hyman

Image interpolation is a special case of image super-resolution, where the low-resolution image is directly down-sampled from its high-resolution counterpart without blurring and noise. Therefore, assumptions adopted in super-resolution…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Junchao Zhang

A problem of current interest is the estimation of spatially distributed processes at locations where measurements are missing. Linear interpolation methods rely on the Gaussian assumption, which is often unrealistic in practice, or…

Data Analysis, Statistics and Probability · Physics 2013-01-09 Milan Žukovič , Dionissios T. Hristopulos

Fractal interpolation functions (FIFs) generated using iterated function systems (IFS) provide a powerful framework for modeling self-similar and irregular data, yet traditional constructions often neglect geometric fidelity such as…

Numerical Analysis · Mathematics 2026-02-03 K R Tyada
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