A new topological algorithm is presented that generates all the faces of a genus O, 3-connected wireframe in 0( nz2) time, where m is the number of edges of the wireframe. It is based on an eftlcient shortest path rdgorithm for cycle generation. The completely general wireframe to solid model conversion problem is also shown to be combinatorially equivalent to the graph genus problem which is known to be computationally intractable. The new algorithm is conceptually simpler than previous embedding and other topological algorithms for resolving the faces of wireframes with a unique embedding (genus O, 3 connected only). It also holds promise as an efficient cycle generator for input to more generat algorithms. For example, for 3-connected genus 1 objects (both manifold and non-manifold) it successfully generated all the facial cycles as a subset.
Charles is a PhD student in Environmental Sciences at Louisiana State University. In 2012, he earned his master's degree in Medical and Health Physics and has since been working towards a PhD. During his studies, he has worked actively with the LSU STEM Talent and Expansion Program and LSU Center for Academic Success helping with different methods that aim to improve how STEM college students learn including tutorial centers, PLTL, SI, and recitation programs. Dr. Wang's research interests focus on the development of feasible solutions to practical radiation protection and radiation detection issues. The majority of his work has emphasized operational radiation safety, radiation detection instrumentation, air monitoring methodology, and radioactive waste management. He has authored or co-authored more than 30 peer-reviewed publications, conference proceedings and abstracts, and book chapters. He has also chaired five graduate committees and served on another 16 graduate committees. In addition, he has served as a manuscript reviewer for four referred journals (i.e.,
SUMMARYA new algorithm is presented for performing mesh rezoning on isoparametric elements used in simulations of non-linear deformation processes. The method uses techniques from elimination theory to solve the parametric inversion problem for each node on the new, undistorted mesh. These parameter values are then used in the elemental shape functions to transfer the nodal state variables from the distorted mesh to each node in the new mesh by interpolation. The method has been implemented for bilinear and biquadratic elements. The method is based on fundamental finite element approximations, since the interpolation functions which define the element are also used to perform rezoning.
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