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# Reconstructing high-order surfaces for meshing

@article{Jiao2010ReconstructingHS, title={Reconstructing high-order surfaces for meshing}, author={Xiangmin Jiao and Duo Wang}, journal={Engineering with Computers}, year={2010}, volume={28}, pages={361-373} }

- Published 2010 in Engineering with Computers
DOI:10.1007/s00366-011-0244-8

We consider the problem of reconstructing a high-order surface from a given surface mesh. This problem is important for many meshing operations, such as generating high-order finite elements, mesh refinement, mesh smoothing, and mesh adaptation. We introduce two methods called Weighted Averaging of Local Fittings and Continuous Moving Frames. These methods are both based on weighted least squares polynomial fittings and guarantee C 0 continuity. Unlike existing methods for reconstructingâ€¦Â CONTINUE READING

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