SUBJECT: Ph.D. Proposal Presentation
   
BY: Wei Huang
   
TIME: Tuesday, February 19, 2013, 11:00 a.m.
   
PLACE: MARC Building, 201
   
TITLE: Surfacelet-based Heterogeneous Materials Modeling
   
COMMITTEE: Dr. Yan Wang, Chair (ME)
Dr. David Rosen (ME)
Dr. Suresh Sitaraman (ME)
Dr. Xiaoming Huo (ISyE)
Dr. Edmond Chow (CS)
 

SUMMARY

In this dissertation proposal, the objective is to develop three critical techniques of surfacelet-based heterogeneous materials modeling for computer-aided materials design in future computer-aided design (CAD) systems. First, a method of inverse surfacelet transform will be developed such that the original images can be reconstructed from the surfacelet coefficients. The surface integrals of voxel values are obtained from the surfacelet coefficients using the one-dimensional inverse wavelet transform. The images are then reconstructed by solving linear equations from discretized surface integrals. The prior knowledge of material properties and distributions is applied to solve the under-constrained problems. Second, composite surfacelets with the combinations of different types of primitive surfacelets are proposed to increase flexibility of the surfacelet transform with potentially fewer surfacelets and improved reconstruction accuracy. Third, a method for the zoom-in and zoom-out operations of surfacelet will be developed. During the zoom-in and zoom-out operations, unevenly distributed grid points are created or chosen from the grids generated from the previous scale.