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We present a new method of interpolation for the pixel brightness estimation in astronomical images. Our new method is simple and easily implementable. We show the comparison of this method with the widely used linear interpolation and…

Instrumentation and Methods for Astrophysics · Physics 2013-10-03 A. Popowicz , A. R. Kurek , Z. Filus

The exoplanet detection rate from gravitational microlensing has grown significantly in recent years thanks to a great enhancement of resources and improved observational strategy. Current observatories include ground-based wide-field…

Earth and Planetary Astrophysics · Physics 2017-04-17 A. Cassan

This paper proposes a new method for estimating sparse precision matrices in the high dimensional setting. It has been popular to study fast computation and adaptive procedures for this problem. We propose a novel approach, called Sparse…

Methodology · Statistics 2016-12-23 Weidong Liu , Xi Luo

In this paper, we formally investigate two mathematical aspects of Hermite splines which translate to features that are relevant to their practical applications. We first demonstrate that Hermite splines are maximally localized in the sense…

Numerical Analysis · Mathematics 2019-02-11 Julien Fageot , Shayan Aziznejad , Michael Unser , Virginie Uhlmann

Context. The emergence of mixed modes during the subgiant phase, whose frequencies are characterized by a fast evolution with age, can potentially enable a precise determination of stellar properties, a key goal for future missions like…

Solar and Stellar Astrophysics · Physics 2025-01-20 Miguel Clara , Margarida S. Cunha , Pedro P. Avelino , Tiago L. Campante , Sébastien Deheuvels , Daniel R. Reese

In this paper we present a locally and dimension-adaptive sparse grid method for interpolation and integration of high-dimensional functions with discontinuities. The proposed algorithm combines the strengths of the generalised sparse grid…

Numerical Analysis · Mathematics 2011-10-04 John D. Jakeman , Stephen G. Roberts

Spherical functions appear throughout computer graphics, from spherical harmonic lighting and precomputed radiance transfer to neural radiance fields and procedural planet rendering. Efficient evaluation is critical for real-time…

Graphics · Computer Science 2026-02-24 Mohamed Abouagour , Eleftherios Garyfallidis

Near-diffraction limited imaging and spectroscopy in the visible on large (8-10 meter) class telescopes has proved to be beyond the capabilities of current adaptive optics technologies, even when using laser guide stars. The need for high…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Craig Mackay , Tim D. Staley , David King , Frank Suess , Keith Weller

Change detection from satellite images typically incurs a delay ranging from several hours up to days because of latency in downlinking the acquired images and generating orthorectified image products at the ground stations; this may…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Gabriele Inzerillo , Diego Valsesia , Aniello Fiengo , Enrico Magli

Pillar-based 3D object detection has gained traction in self-driving technology due to its speed and accuracy facilitated by the artificial densification of pillars for GPU-friendly processing. However, dense pillar processing fundamentally…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Seongmin Park , Minjae Lee , Junwon Choi , Jungwook Choi

This paper presents a novel approach for robust periodic attitude control of satellites. Respecting the periodicity of the satellite dynamics in the synthesis allows to achieve constant performance and robustness requirements over the…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Frederik Thiele , Felix Biertümpfel , Harald Pfifer

In this work, we present a trust-region optimization framework that employs Hermite kernel surrogate models. The method targets optimization problems with computationally demanding objective functions, for which direct optimization is often…

Numerical Analysis · Mathematics 2025-07-03 Sven Ullmann , Tobias Ehring , Robin Herkert , Bernard Haasdonk

We present a novel method to significantly speed up cosmological parameter sampling. The method relies on constructing an interpolation of the CMB-log-likelihood based on sparse grids, which is used as a shortcut for the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Mona Frommert , Dirk Pflueger , Thomas Riller , Martin Reinecke , Hans-Joachim Bungartz , Torsten Ensslin

The Space multi-band Variable Object Monitor (SVOM) is a proposed Chinese astronomical satellite, dedicated to the detection, localization and measurement of the gamma-ray bursts (GRBs) on the cosmological scale. An efficient algorithm is…

Instrumentation and Methods for Astrophysics · Physics 2014-11-20 T. Wang , Y. Qiu , H. Cai , J. Deng

We describe a general approach for constructing a broad class of operators approximating high-dimensional curves based on geometric Hermite data. The geometric Hermite data consists of point samples and their associated tangent vectors of…

Numerical Analysis · Mathematics 2022-03-08 Hofit Ben-Zion Vardi , Nira Dyn , Nir Sharon

Moving object detection in satellite videos (SVMOD) is a challenging task due to the extremely dim and small target characteristics. Current learning-based methods extract spatio-temporal information from multi-frame dense representation…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 C. Xiao , W. An , Y. Zhang , Z. Su , M. Li , W. Sheng , M. Pietikäinen , L. Liu

By sending one or more telescopes into space, Space-VLBI (SVLBI) is able to achieve even higher angular resolution and is therefore the trend of the VLBI technique. For SVLBI program, the design of satellite orbits plays an important role…

Instrumentation and Methods for Astrophysics · Physics 2021-03-31 Lei Liu , Weimin Zheng

Video frame interpolation, the synthesis of novel views in time, is an increasingly popular research direction with many new papers further advancing the state of the art. But as each new method comes with a host of variables that affect…

Computer Vision and Pattern Recognition · Computer Science 2020-11-04 Simon Niklaus , Long Mai , Oliver Wang

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 present a semi-Lagrangian method for the numerical resolution of Vlasov-type equations on multi-patch meshes. Following N. Crouseilles et al. [A parallel Vlasov solver based on local cubic spline interpolation on patches. Journal of…

Numerical Analysis · Mathematics 2026-01-26 Pauline Vidal , Emily Bourne , Virginie Grandgirard , Michel Mehrenberger , Eric Sonnendrücker