Project: Multiscale Heterogeneous Materials Modeling
The objective of this research is to develop a unified geometry and materials representation to support multiscale computer-aided design. In materials design, the specifications of material compositions and distributions are as important as geometric shapes in multiscale materials and product design. Additionally, "zoom" capability is required in such multiscale CAD systems, where the definitions of interphase regions and internal domains depend on the length scales. A new representation dual-Rep supports such zoom process is developed.
Surfacelet Basis Functions
Surfacelet is a new concept of combining implicit surfaces with wavelets such that surface or singularity patterns in 3D space can be captured and compressed efficiently.
Surfacelet Transform as Materials Structure Descriptor
Surfacelet transform is developed to capture the interface or inter-phase feature information from material images. Inverse surfacelet transform is also developed to allow for lossless material image reconstruction from the surfacelet parameter space. Lossy data compression mechanisms are also proposed to achieve high compression ratios.