Results 51 to 60 of about 456 (184)
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Kinetic convex hulls, Delaunay triangulations and connectivity structures in the black-box model
Journal of Computational Geometry, 2012 Over the past decade, the kinetic-data-structures framework has become thestandard in computational geometry for dealing with moving objects. A fundamental assumption underlying the framework is that the motions of the objects are known in advance.
Mark de Berg +2 more
doaj +1 more source
ISPRS International Journal of Geo-Information, 2020 Building pattern recognition is fundamental to a wide range of downstream applications, such as urban landscape evaluation, social analyses, and map generalization. Although many studies have been conducted, there is still a lack of satisfactory results,
Xianjin He, Min Deng, Guowei Luo
doaj +1 more source
Fast reconstruction of Delaunay triangulations [PDF]
Computational Geometry, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
Advanced Intelligent Discovery, EarlyView.This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley +1 more source
Archaeological Prospection, EarlyView.ABSTRACT Medieval and early modern drowned villages in the intertidal zone of the Scheldt estuary (the Netherlands) constitute intriguing yet largely understudied components of north‐western Europe's underwater cultural heritage. Despite their high archaeological potential as time capsules of past settlement landscapes, research has remained limited ...
Jan Trachet +9 more
wiley +1 more source
Segmentation of Overlapping Chromosome Images Using Computational Geometry
Walailak Journal of Science and Technology, 2011 Current systems for automatic chromosome classification are interactive and require human intervention for correct separation between touching and overlapping chromosomes.
Wacharapong SRISANG +2 more
doaj +1 more source
International Journal for Numerical Methods in Fluids, EarlyView.This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro +2 more
wiley +1 more source
ISPRS International Journal of Geo-Information, 2016 Updating topographic maps in multi-representation databases is crucial to a number of applications. An efficient way to update topographic maps is to propagate the updates from large-scale maps to small-scale maps.
Xinchang Zhang +3 more
doaj +1 more source
Exact Computation of the Color Function for Triangular Element Interfaces
International Journal for Numerical Methods in Fluids, EarlyView.We propose a robust algorithm, the Front2VOF algorithm, to compute the color function for triangular element interfaces in Front‐Tracking methods on a Cartesian mesh. ABSTRACT The calculation of the volume enclosed by curved surfaces discretized into triangular elements and a cube is of great importance in different domains, such as computer graphics ...
Jieyun Pan +8 more
wiley +1 more source