Research Article
Reconstructing B-patch surface from triangular mesh
@ARTICLE{10.4108/eai.10-1-2018.153547, author={L. T. T. Nga and N. T. Khoi and N. T. Thuy}, title={Reconstructing B-patch surface from triangular mesh}, journal={EAI Endorsed Transactions on Industrial Networks and Intelligent Systems}, volume={4}, number={12}, publisher={EAI}, journal_a={INIS}, year={2018}, month={1}, keywords={B-patch, geometric approximation, inverse subdivision, reconstruction, triangular mesh.}, doi={10.4108/eai.10-1-2018.153547} }- L. T. T. Nga
N. T. Khoi
N. T. Thuy
Year: 2018
Reconstructing B-patch surface from triangular mesh
INIS
EAI
DOI: 10.4108/eai.10-1-2018.153547
Abstract
B-patch is the main block for creating the multivariate B-spline surfaces over triangular parametric domains. It has many interesting properties in the smooth surface construction with arbitrary topology. This paper proposes a new approach for reconstructing B-patch surfaces from triangular mesh based on a local geometric approximation, along with inverse subdivision scheme. The result B-patches with the low degree cross through most of the data points of the original meshes after some steps of the local geometric approximation. The accuracy of result surfaces can be carried out by changing the position of control points and adjusting knotclouds in each of the iterations. Some concrete experimental examples are also provided to demonstrate the effectiveness of the proposed method. Because most of the low degree parametric curves and surfaces are often employed in CAGD, this result has practical significance, especially for mesh compression, inverse engineering, and virtual reality.
Copyright © 2018 L.T.T.Nga et al., licensed to EAI. This is an open access article distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/3.0/), which permits unlimited use, distribution and reproduction in any medium so long as the original work is properly cited.
