A New Method of B-spline Surface Reconstruction Using Hierarchical Surface

DOI

10.2991/icmmcce-15.2015.237How to use a DOI?

Keywords

Surface reconstruction; Parameterization; Best square approximation; Hierarchical surface

Abstract

In the process of surface reconstruction, the least squares fitting surface often produces singular matrix and it will cause a failure surface fitting. In this paper, we propose a new surface reconstruction method based on hierarchical surface. We first construct a low-order surface to interpolate data points, which is controlling surface, and then we use high-order surface to approximate the controlling surface, which is approximating surface. The best square approximation and hierarchical surface are used in this approximation to controlling surface, and we refine the control points mesh to approximate the controlling surface locally to achieve the given precision step by step. Finally, some examples of this algorithm demonstrate its usefulness and quality.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Zizhi Lin
AU  - Yun Ding
AU  - Sihui Shu
PY  - 2015/12
DA  - 2015/12
TI  - A New Method of B-spline Surface Reconstruction Using Hierarchical Surface
BT  - Proceedings of the 4th International Conference on Mechatronics, Materials, Chemistry and Computer Engineering 2015
PB  - Atlantis Press
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmmcce-15.2015.237
DO  - 10.2991/icmmcce-15.2015.237
ID  - Lin2015/12
ER  -