Results 61 to 70 of about 1,547 (174)

Pointwise convergence of the Lloyd algorithm in higher dimension [PDF]

, 2013
We establish the pointwise convergence of the iterative Lloyd algorithm, also known as $k$-means algorithm, when the quadratic quantization error of the starting grid (with size $N\ge 2$) is lower than the minimal quantization error with respect to the ...
Pagès, Gilles, Yu, Jun
core   +2 more sources

Cluster-based reduced-order modelling of a mixing layer

, 2014
We propose a novel cluster-based reduced-order modelling (CROM) strategy of unsteady flows. CROM combines the cluster analysis pioneered in Gunzburger's group (Burkardt et al.
Abel, Markus, Cordier, Laurent, Daviller, Guillaume, Kaiser, Eurika, Krajnović, Siniša, Niven, Robert K., Noack, Bernd R., Segond, Marc, Spohn, Andreas, Östh, Jan   +9 more
core   +1 more source

Visually Assessing 1‐D Orderings of Contiguous Spatial Polygons

Computer Graphics Forum, Volume 44, Issue 3, June 2025.
Abstract One‐dimensional orderings of spatial entities have been researched in many contexts, e.g. spatial indexing structures or visualizations for spatiotemporal trend analysis. While plenty of studies have been conducted to evaluate orderings of point‐based data, polygonal shapes, despite their different topological properties, have received less ...
Julius Rauscher, Frederik L. Dennig, Udo Schlegel, Daniel A. Keim, Johannes Fuchs   +4 more
wiley   +1 more source

Cap‐to‐bell stage molar tooth morphogenesis occurs through proliferation‐independent sulcus sharpening and condensation‐associated tension in the dental papilla

Journal of Anatomy, Volume 246, Issue 6, Page 1075-1083, June 2025.
Experiments in this article show that the development of the mouse molar tooth from cap‐stage to bell‐stage is not proliferation‐dependent, nor does it rely on confinement by condensing mesenchyme. Instead, morphogenesis is associated with condensation and tension in the mesenchyme of the dental papilla subadjacent to the forming cusps and sulcus ...
Claire Piper, Jeremy B. A. Green
wiley   +1 more source

Quantization‐Based Latin Hypercube Sampling for Dependent Inputs With an Application to Sensitivity Analysis of Environmental Models

Applied Stochastic Models in Business and Industry, Volume 41, Issue 3, May/June 2025.
ABSTRACT Numerical models are essential for comprehending intricate physical phenomena in different domains. To handle their complexity, sensitivity analysis, particularly screening is crucial for identifying influential input parameters. Kernel‐based methods, such as the Hilbert‐Schmidt Independence Criterion (HSIC), are valuable for analyzing ...
Guerlain Lambert, Céline Helbert, Claire Lauvernet   +2 more
wiley   +1 more source

Evaluation of Flow Routing on the Unstructured Voronoi Meshes in Earth System Modeling

Journal of Advances in Modeling Earth Systems, Volume 17, Issue 5, May 2025.
Abstract Flow routing is a fundamental process of Earth System Models' (ESMs) river component. Traditional flow routing models rely on Cartesian rectangular meshes, which exhibit limitations, particularly when coupled with unstructured mesh‐based ocean components. They also lack the support for regionally refined models.
Chang Liao, Donghui Xu, Matthew G. Cooper, Tian Zhou, Darren Engwirda, Zeli Tan, Gautam Bisht, Hong‐Yi Li, Lingcheng Li, Dongyu Feng, L. Ruby Leung   +10 more
wiley   +1 more source

Centroidal Voronoi Tessellation of Line Segments and Graphs

Computer Graphics Forum, 2012
AbstractCentroidal Voronoi Tessellation (CVT) of points has many applications in geometry processing, including re‐meshing and segmentation, to name but a few. In this paper, we generalize the CVT concept to graphs via a variational characterization.
Wang, WP, Levy, B, Lu, L
openaire   +3 more sources

The Surface Water and Ocean Topography Mission (SWOT) Prior Lake Database (PLD): Lake Mask and Operational Auxiliaries

Water Resources Research, Volume 61, Issue 3, March 2025.
Abstract Lakes are among the most prevalent and predominant water repositories on the Earth's land surface. A primary objective of the Surface Water and Ocean Topography (SWOT) satellite mission is to monitor surface water elevation, area, and storage change in lakes globally.
Jida Wang, Claire Pottier, Cécile Cazals, Marjorie Battude, Yongwei Sheng, Chunqiao Song, Md Safat Sikder, Xiao Yang, Linghong Ke, Manon Delhoume, Marielle Gosset, Rafael Reis Alencar Oliveira, Manuela Grippa, Félix Girard, George H. Allen, Xiangtao Xu, Xiaolin Zhu, Sylvain Biancamaria, Laurence C. Smith, Jean‐François Crétaux, Tamlin M. Pavelsky   +20 more
wiley   +1 more source

Achieving spatial balance in environmental surveys under constant inclusion probabilities or inclusion density functions

Environmetrics, Volume 36, Issue 1, January 2025.
Abstract In environmental and ecological surveys, well spread samples can be easily obtained via widely adopted tessellation schemes, which yield equal first‐order inclusion probabilities in the case of finite populations of areas or constant inclusion density functions in the case of continuous populations.
Rosa M. Di Biase, Marzia Marcheselli, Caterina Pisani   +2 more
wiley   +1 more source

Using Power Diagrams to Build Optimal Unstructured Meshes for C-Grid Models [PDF]

The Model for Prediction Across Scales (MPAS) for Ocean (-O), Sea-Ice (-SI) and Land-Ice (-LI), in addition to the Coastal Ocean Marine Prediction Across Scales (COMPAS) are two novel general circulation models designed to resolve coupled ocean-ice ...
Asay-Davis, Xylar, Engwirda, Darren, Petersen, Mark, Wolfram, Phillip J.   +3 more
core   +1 more source