Interpolation on spherical geodesic grids: A comparative study
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TLDR
In this article, a comparison between linear, distance-based and cubic interpolation schemes outlining their advantages and drawbacks in atmospheric physics, meteorology and climatology applications is presented.About:
This article is published in Journal of Computational and Applied Mathematics.The article was published on 2007-12-20 and is currently open access. It has received 36 citations till now. The article focuses on the topics: Interpolation & Nearest-neighbor interpolation.read more
Citations
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Reconstruction of scattered data in fetal diffusion MRI
TL;DR: A method for reconstructing diffusion-weighted MRI data on regular grids from scattered data using a groupwise registration method, and a dual spatio-angular interpolation by using radial basis functions (RBF).
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Adaptive smoothing of multi-shell diffusion weighted magnetic resonance data by msPOAS.
TL;DR: MsPOAS effectively improves the poor signal-to-noise ratio in highly diffusion weighted multi-shell diffusion data, which is required by recent advanced diffusion micro-structure models and is demonstrated to be superiority compared to other advanced denoising methods.
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Novel sky discretization method for optical annual assessment of solar tower plants
TL;DR: The proposed method decreases the required time for the annual optical assessment by several orders of magnitude while maintaining the original accuracy, and the dependency of the interpolation accuracy with respect to the resolution of the sky grid is investigated.
Posted Content
Fisher Information Field: an Efficient and Differentiable Map for Perception-aware Planning.
Zichao Zhang,Davide Scaramuzza +1 more
TL;DR: This work proposes the first dedicated map representation for evaluating the Fisher information of 6 degree-of-freedom visual localization for perception-aware motion planning and shows that the proposed Fisher information field can be applied to different motion planning algorithms and is at least one order ofmagnitude faster than using the point cloud directly.
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Geospatial Analysis of Zinc Contamination in Lake Ontario Sediments
TL;DR: In this article, a GIS-based kriging technique was used to interpolate contamination estimates between sampling locations in Lake Ontario, and the historical and contemporary results indicate that areas of the lake have zinc concentrations that are above the threshold effect level (TEL) and represent a degree of enrichment of roughly twice the historical background levels.
References
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Principles of geostatistics
TL;DR: In this article, the authors present a new science leading to such an approach, namely geostatistics, which is a new approach for estimating the estimation of ore grades and reserves.
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Radial Basis Functions
Martin D. Buhmann,M. D. Buhmann +1 more
TL;DR: This paper gives a selective but up-to-date survey of several recent developments that explains their usefulness from the theoretical point of view and contributes useful new classes of radial basis function.
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Semi-Lagrangian integration schemes for atmospheric models - A review
Andrew Staniforth,Jean Côté +1 more
TL;DR: Semi-Lagrangian methods have been applied to 2D and 3D atmospheric flows in both Cartesian and spherical geometries as discussed by the authors, and their accuracy, stability, and efficiency properties are reviewed.
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A standard test set for numerical approximations to the shallow water equations in spherical geometry
TL;DR: In this paper, a suite of seven test cases is proposed for the evaluation of numerical methods intended for the solution of the shallow water equations in spherical geometry, which exhibit the major difficulties associated with the horizontal dynamical aspects of atmospheric modeling on the spherical earth.
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The Operational Global Icosahedral-Hexagonal Gridpoint Model GME: Description and High-Resolution Tests
Detlev Majewski,Dörte Liermann,Peter Prohl,Bodo Ritter,Michael Buchhold,Thomas Hanisch,Gerhard Paul,Werner Wergen,John R. Baumgardner +8 more
TL;DR: The German Weather Service (Deutscher Wetterdienst) has recently developed a new operational global numerical weather prediction model, named GME, based on an almost uniform icosahedral‐hexagonal grid and the formulation of the discrete operators for this grid is described and evaluations that demonstrate their second-order accuracy are provided.