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The variant graph is a new, hybrid algorithm that combines the strengths of established global grain graph and local neighbor level voting approaches, while alleviating their shortcomings, to reconstruct parent grains from orientation maps…

Materials Science · Physics 2022-01-07 Ralf Hielscher , Tuomo Nyyssönen , Frank Niessen , Azdiar A. Gazder

A versatile generic framework for parent grain reconstruction from fully or partially transformed child microstructures was integrated into the open-source crystallographic toolbox MTEX. The framework extends traditional parent grain…

Materials Science · Physics 2021-05-03 Frank Niessen , Tuomo Nyyssönen , Azdiar A. Gazder , Ralf Hielscher

Materials with an allotropic phase transformation can result in the formation of microstructures where grains have orientation relationships (ORs) determined by the transformation history. These microstructures influence the final material…

Materials Science · Physics 2021-10-01 Ruth Birch , Thomas Benjamin Britton

We present a unifying description for the martensitic transformation of steel that accounts for important experimentally observable features of the transformation namely, the Neumann bands, the interfacial (habit) plane between the…

Materials Science · Physics 2020-09-23 Félix Therrien , Vladan Stevanović

This work presents a detailed experimental-numerical analysis of a low-carbon dual-phase steel microstructure, revealing evidence of significant anisotropic plastic deformation in lath martensite. A careful determination of the habit plane…

Materials Science · Physics 2022-11-16 V. Rezazadeh , R. H. J. Peerlings , T. Vermeij , J. P. M. Hoefnagels , F. Maresca , M. G. D. Geers

Human motion prediction is an essential part for human-robot collaboration. Unlike most of the existing methods mainly focusing on improving the effectiveness of spatiotemporal modeling for accurate prediction, we take effectiveness and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-24 Jin Liu , Jianqin Yin

The study of grain boundary phase transitions is an emerging field until recently dominated by experiments. The major bottleneck in exploration of this phenomenon with atomistic modeling has been the lack of a robust computational tool that…

Materials Science · Physics 2018-02-21 Qiang Zhu , Amit Samanta , Bingxi Li , Robert E. Rudd , Timofey Frolov

The identification of orientation relationships (ORs) plays a crucial r\^ole in the understanding of solid phase transformations. In steels, the most common models of ORs are the ones by Nishiyama-Wassermann (NW) and Kurdjumov-Sachs (KS).…

Materials Science · Physics 2017-02-09 Anton Muehlemann , Konstantinos Koumatos

Man-made environments typically comprise planar structures that exhibit numerous geometric relationships, such as parallelism, coplanarity, and orthogonality. Making full use of these relationships can considerably improve the robustness of…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Yangbin Lin , Jialian Li , Cheng Wang , Zhonggui Chen , Zongyue Wang , Jonathan Li

Emerging microstructural characterization methods have received increased attention owing to their promise of relatively inexpensive and rapid measurement of polycrystalline surface morphology and crystallographic orientations. Among these…

Materials Science · Physics 2025-02-27 Amit Singh , Mark Obstalecki , Darren C. Pagan , Michael Glavicic , Matthew Kasemer

We study rotation-robust learning for image inputs using Convolutional Model Trees (CMTs) [1], whose split and leaf coefficients can be structured on the image grid and transformed geometrically at deployment time. In a controlled MNIST…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Hongyi Li , William Ward Armstrong , Jun Xu

The C-Orientation problem asks whether it is possible to orient an undirected graph to a directed phylogenetic network of a desired network class C. This problem arises, for example, when visualising evolutionary data, as popular methods…

Data Structures and Algorithms · Computer Science 2025-09-30 Tsuyoshi Urata , Manato Yokoyama , Haruki Miyaji , Momoko Hayamizu

The past decade has witnessed the development and success of coarse-grained network models of proteins for predicting many equilibrium properties related to collective modes of motion. Curiously, the results are usually robust towards the…

Biomolecules · Quantitative Biology 2010-02-04 Canan Atilgan , Osman Burak Okan , Ali Rana Atilgan

Change-plane regression identifies subpopulations through an interpretable linear threshold rule, but likelihood-based inference for the hard-threshold boundary is nonregular: objectives are non-smooth, the boundary is weakly identified…

Methodology · Statistics 2026-04-28 Yuki Ohnishi , Fan Li

Decision trees are a popular technique in statistical data classification. They recursively partition the feature space into disjoint sub-regions until each sub-region becomes homogeneous with respect to a particular class. The basic…

Machine Learning · Statistics 2015-04-15 D. C. Wickramarachchi , B. L. Robertson , M. Reale , C. J. Price , J. Brown

While the major white matter tracts are of great interest to numerous studies in neuroscience and medicine, their manual dissection in larger cohorts from diffusion MRI tractograms is time-consuming, requires expert knowledge and is hard to…

Computer Vision and Pattern Recognition · Computer Science 2019-09-26 Jakob Wasserthal , Peter Neher , Dusan Hirjak , Klaus H. Maier-Hein

We present several algorithms designed to learn a pattern of correspondence between two data sets in situations where it is desirable to match elements that exhibit a relationship belonging to a known parametric model. In the motivating…

Faces-classes of grains, often referred to as topological features, largely dictate the evolution of polycrystalline microstructures during grain growth. Realising these topological features is generally an arduous task, often demanding…

Materials Science · Physics 2023-01-02 Mridhula Venkatanarayanan , P G Kubendran Amos

Accurate grain orientation mapping is essential for understanding and optimizing the performance of polycrystalline materials, particularly in energy-related applications. Lithium nickel oxide (LiNiO$_{2}$) is a promising cathode material…

Disordered Systems and Neural Networks · Physics 2025-11-26 Sebastian Wissel , Jonas Scheunert , Aaron Dextre , Shamail Ahmed , Andreas Bayer , Kerstin Volz , Bai-Xiang Xu

Parental origin effects play an important role in mammal development and disorder. Case-control mother-child pair genotype data can be used to detect parental origin effects and is often convenient to collect in practice. Most existing…

Methodology · Statistics 2022-08-11 Yuang Tian , Hong Zhang , Alexandre Bureau , Hagit Hochner , Jinbo Chen
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