Ming-Jun Lai's REU Group on Numerical Analysis7 undergraduate students Katie Agle, Dustin Burns, Cooper Cumliffe, Grant Fiddyment, Max Mautner, and Tarik Trent working on various research problems in the summer, 2008 for 7 weeks. They have successfully finished REU program. They have tasted bivariate splines (Mmmmmmm .... splines) and experienced doing research projects. See the group photo here and presentations below.Katie Agle, University of Tennessee, Knoxville works on bivariate splines for surface design. She studies how to use bivariate splines to construct interpolatory and/or fitting surfaces under various energy functionals. See details in her presentation Dustin Burns, Georgia Institute of Technology works on 3D data sampler to collect data from a truck model and then applies various surface design methods to generate truck body surface. See truck surfaces in various angles. Coop Cunliffe, University of North Carolina, Ashville studies the convergence of data fitting methods for minimal triharmonic energy method and minimal surface area method. See his presentation. James Alexander, Rutgers University studies the bivariate splines for weak solution of Bousinesque equations and their approximation of the global weak solution. See his presentation for more detail. Max. Mautner, Clairmount McKena College and Tarik Trent, Emory University work on image segmentation together to obtain the boundary of local regions of an image. Max and Tarik invented an edge-crawling method to find edges. See examples from their presentation. Grant Fiddyment, University of Georgia works on image denoising to remove noises in local regions of an image. See his presentation. |