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Skeletonization is a powerful tool for shape analysis, rooted in the inherent instinct to understand an object's morphology. It has found applications across various domains, including robotics. Although skeletonization algorithms have been…

Computer Vision and Pattern Recognition · Computer Science 2025-04-02 Qingmeng Wen , Yu-Kun Lai , Ze Ji , Seyed Amir Tafrishi

Coordination geometries describe how the neighbours of a central particle are arranged around it. Such geometries can be thought to lie in an abstract topological space; a model of this space could provide a mathematical basis for…

Mathematical Physics · Physics 2023-06-28 John Çamkıran , Fabian Parsch , Glenn D. Hibbard

The tasks of identifying separation structures and clusters in flow data are fundamental to flow visualization. Significant work has been devoted to these tasks in flow represented by vector fields, but there are unique challenges in…

Graphics · Computer Science 2017-08-15 Matthew Berger , Joshua A. Levine

We present a novel approach for finding and evaluating structural models of small metallic nanoparticles. Rather than fitting a single model with many degrees of freedom, the approach algorithmically builds libraries of nanoparticle…

In this paper we introduce a new clustering technique called Regularity Clustering. This new technique is based on the practical variants of the two constructive versions of the Regularity Lemma, a very useful tool in graph theory. The…

Combinatorics · Mathematics 2012-10-01 Gábor N. Sárközy , Fei Song , Endre Szemerédi , Shubhendu Trivedi

Measuring similarities/dissimilarities between atomic structures is important for the exploration of potential energy landscapes. However, the cell vectors together with the coordinates of the atoms, which are generally used to describe…

Efficient, reliable and easy-to-use structure recognition of atomic environments is essential for the analysis of atomic scale computer simulations. In this work, we train two neuronal network (NN) architectures, namely PointNet and dynamic…

Materials Science · Physics 2025-04-16 Linus C. Erhard , Daniel Utt , Arne J. Klomp , Karsten Albe

The generation of protein crystals is necessary for the study of protein molecular function and structure. This is done empirically by processing large numbers of crystallization trials and inspecting them regularly in search of those with…

Computer Vision and Pattern Recognition · Computer Science 2018-05-15 Soheil Ghafurian , Peter Orth , Corey Strickland , Hua Su , Sangita Patel , Steven Soisson , Belma Dogdas

The architecture of infinite structures with non-crystallographic symmetries can be modeled via aperiodic tilings, but a systematic construction method for finite structures with non-crystallographic symmetry at different radial levels is…

Mathematical Physics · Physics 2015-08-19 Reidun Twarock , Motiejus Valiunas , Emilio Zappa

We present a high-throughput, end-to-end pipeline for organic crystal structure prediction (CSP) -- the problem of identifying the stable crystal structures that will form from a given molecule based only on its molecular composition. Our…

Materials Science · Physics 2023-12-12 Amit Kadan , Kevin Ryczko , Andrew Wildman , Rodrigo Wang , Adrian Roitberg , Takeshi Yamazaki

Crystal structure determines properties of materials. With the crystal structure of a chemical substance, many physical and chemical properties can be predicted by first-principles calculations or machine learning models. Since it is…

Materials Science · Physics 2021-09-22 Wenhui Yang , Edirisuriya M. Dilanga Siriwardane , Rongzhi Dong , Yuxin Li , Jianjun Hu

We introduce a method that defines the species (representatives) of inorganic compounds, and studied the statistical distribution of the defined species among space groups (distribution of space groups), by using ICSD (Inorganic Crystal…

Applications · Statistics 2011-06-30 Miyako Fujiwara , Yoshiaki Itoh , Takeo Matsumoto , Hiroshi Takeda

Fluid states of matter can locally exhibit characteristics of the onset of crystalline order. Traditionally this has been theoretically investigated using multipoint correlation functions. However new measurement techniques now allow…

Strongly Correlated Electrons · Physics 2020-03-16 Mikael Fremling , Joost Slingerland

The growing amount of data produced by simulations and observations of space physics processes encourages the use of methods rooted in Machine Learning for data analysis and physical discovery. We apply a clustering method based on…

Plasma Physics · Physics 2023-04-27 Sophia Köhne , Elisabetta Boella , Maria Elena Innocenti

We address the problem of comparing and aligning spatial point configurations in $\mathbb{R}^3$ arising from structured geometric patterns. Each pattern is decomposed into arms along which we define a normalized finite-difference operator…

To understand the photophysics of molecular aggregates, exciton model of J- and H-aggregate has been extensively utilized. However, it lacks consideration of crystal symmetry. Although discrete molecules may lack symmetry, their aggregates…

Mesoscale and Nanoscale Physics · Physics 2023-10-10 Qingyun Wan , Chi-Ming Che

The classical method of determining the atomic structure of complex molecules by analyzing diffraction patterns is currently undergoing drastic developments. Modern techniques for producing extremely bright and coherent X-ray lasers allow a…

Biomolecules · Quantitative Biology 2015-10-12 Tomas Ekeberg , Stefan Engblom , Jing Liu

The high-throughput screening of periodic inorganic solids using machine learning methods requires atomic positions to encode structural and compositional details into appropriate material descriptors. These atomic positions are not…

Materials Science · Physics 2018-12-26 Ankit Jain , Thomas Bligaard

Cluster analysis which focuses on the grouping and categorization of similar elements is widely used in various fields of research. Inspired by the phenomenon of atomic fission, a novel density-based clustering algorithm is proposed in this…

Machine Learning · Computer Science 2020-04-28 Shizhan Lu

Point cloud analysis (such as 3D segmentation and detection) is a challenging task, because of not only the irregular geometries of many millions of unordered points, but also the great variations caused by depth, viewpoint, occlusion, etc.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Tuo Feng , Wenguan Wang , Xiaohan Wang , Yi Yang , Qinghua Zheng