Please use this identifier to cite or link to this item: https://doi.org/10.1002/nme.1503
Title: Templatized refinement of triangle meshes using surface interpolation
Authors: Su, Y.
Kumar, A.S. 
Keywords: Feature retention
Mesh refinement
Quartic surface
Subdivision template
Surface interpolation
Triangular Bezier patch
Issue Date: 26-Feb-2006
Source: Su, Y., Kumar, A.S. (2006-02-26). Templatized refinement of triangle meshes using surface interpolation. International Journal for Numerical Methods in Engineering 65 (9) : 1472-1494. ScholarBank@NUS Repository. https://doi.org/10.1002/nme.1503
Abstract: Mesh refinement is an important process with regards to achieving good accuracy for computational simulation and analysis. Currently, there is a lack of a high-fidelity refinement algorithm for the accurate modelling of geometry in the absence of a physical geometric model. This paper focuses on using a surface interpolation procedure based on a quartic triangular Bezier patch to approximate the underlying geometry of a mesh and to determine the locations of new subdivision vertices. A robust methodology is used for feature retention and accurate curve fitting at sharp edges and hard vertices. This extends the applicability of the surface fitting procedure to any arbitrary geometric configuration. The refinement is based on a new 1:9 subdivision scheme and its implementation is discussed in detail. Despite its high order subdivision footprint, computational efficiency is made possible by the effective use of lookup tables. Copyright © 2005 John Wiley & Sons, Ltd.
Source Title: International Journal for Numerical Methods in Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/61468
ISSN: 00295981
DOI: 10.1002/nme.1503
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