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Updated: Jan 11, 2026

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分析非差异形状的数字工具

Henry Kirveslahti1,2,3, Xiaohan Wang1,4

  • 1Department of Mathematics and Computer Science, Laboratory for Topology and Neurosciences, Ecole polytechnique fédérale de Lausanne, Lausanne CH-1015, Switzerland.

Proceedings of the National Academy of Sciences of the United States of America
|November 14, 2025
PubMed
概括

我们为欧勒特征变换 (ECT) 开发了一种精确的数字算法,可以在没有信息丢失的情况下进行精确的形状分析. 这种新方法增强了复杂数据集的形状反转和对齐.

关键词:
统计形状分析是一种统计形状分析.拓学数据分析数据分析.拓学的变换是变化的.

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Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
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