Publication Abstract

Discrete Edge Extension: A New Discrete Mesh Operation

McLaurin, D., Remotigue, M., & Marcum, D. (2012). Discrete Edge Extension: A New Discrete Mesh Operation. International Journal of Numerical Methods in Engineering. Wiley. Online.


Computational models have become a fundamental part of manufacture, design, and development across many industries. In general, the accuracy (or lack thereof) of the computational model is often a predictor of the success of a specific application. The aim of this work is reduce the time needed to generate a computational model. The will be accomplished by developing accurate and consistent tools that semi-automatically repair discrete data. The developed algorithms are meant to offer a semi-automated solution to a large complex problem that can be present in discrete data—specifically isolated boundaries. Isolated boundaries are a type of gap that current research does not address directly. They are defined by discrete boundary edges that are unable to be paired with nearby discrete boundary edges in order to fill the existing gap. In this research the method of repair seeks to fill the gap by extruding the isolated boundary along a defined vector so that it is topologically adjacent to a nearby surface. The outcome of the repair process is that the isolated boundaries no longer exist because the gap has been filled. Results are presented showing the precision of the edge projection and the advantage of edge splitting in the repair of isolated boundaries.