Scattering transform in microstructure reconstruction

Author:

Reck Paul1ORCID,Seibert Paul2ORCID,Raßloff Alexander2,Kästner Markus23,Peterseim Daniel14

Affiliation:

1. Institute of Mathematics University of Augsburg Augsburg Germany

2. Institute of Solid Mechanics, TU Dresden Dresden Germany

3. Dresden Center for Computational Materials Science, TU Dresden Dresden Germany

4. Centre for Advanced Analytics and Predictive Sciences University of Augsburg Augsburg Germany

Abstract

AbstractDescriptor‐based microstructure characterization plays a crucial role in the field of reversed material engineering for random heterogeneous media. With the advent of differentiable microstructure characterization and reconstruction, there has been a growing interest in the development of differentiable formulations of descriptors. The search for effective descriptors becomes indispensable to adequately characterize a wide range of microstructures. This work proposes a novel approach to construct a descriptor by utilizing a wavelet‐based transformation called the scattering transformation on microstructure images. The characterization and reconstruction capabilities of this newly developed descriptor are compared to a benchmark descriptor based on spatial correlation functions using various 2D microstructure images. The comparative analysis aims to evaluate the effectiveness and potential advantages of the proposed wavelet‐based descriptor.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Atomic and Molecular Physics, and Optics

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