A Multi-Scale Materials Modeling Method With Seamless Zooming Capability Based on Surfacelets

Abstract

In multi-scale materials modeling, it is desirable that different levels of details can be specified in different regions of interest without the separation of scales so that the geometric and physical properties of materials can be designed and characterized. Existing materials modeling approaches focus on the representation of the distributions of material compositions captured from images. In this paper, a multi-scale materials modeling method is proposed to support interactive specification and visualization of material microstructures at multiple levels of details, where designer’s intent at multiple scales is captured. This method provides a feature-based modeling approach based on a recently developed surfacelet basis. It has the capability to support seamless zoom-in and zoom-out. The modeling, operation, and elucidation of materials are realized in both the surfacelet space and the image space.

Challenges and Status on Design and Computation for Emerging Additive Manufacturing Technologies

“…Wang and Rosen [175] presented a new dual representation to model heterogeneous materials based on a new basis functionsurfacelet, which can capture material distributions at multiple scales. Huang et al [176] extended the method to a new multiscale specification environment based on material images and microstructural feature modeling (see Figure 6(g)). With both the forward and inverse surfacelet transformation [156], their method has the capability to zoom-in and zoom-out seamlessly to exchange material information at multiple scales.…”