Mathematical Model of Catmull-Clark Subdivision Scheme on Regular Mesh
Shu-qun Liu, Bei Zhang
Available Online March 2017.
- 10.2991/amcce-17.2017.31How to use a DOI?
- Subdivision, interpolation, mathematical expression, B-spline surface.
In order to further simplify the research of limit surface properties and establish a unified mathematical model. According to Catmull-Clark subdivision method in the regular mesh at the subdivision rules, a method of calculating the mathematical expression of limit surface by interpolation was presented by using the subdivision method which is described by the curves and surfaces interpolation theory. And according to the process of solving, we prove that the limit surface which generated by the Catmull-Clark subdivision method in the regular mesh is a bi-cubic B-spline surface.
- © 2017, 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/).
Cite this article
TY - CONF AU - Shu-qun Liu AU - Bei Zhang PY - 2017/03 DA - 2017/03 TI - Mathematical Model of Catmull-Clark Subdivision Scheme on Regular Mesh BT - Proceedings of the 2017 2nd International Conference on Automation, Mechanical Control and Computational Engineering (AMCCE 2017) PB - Atlantis Press SP - 180 EP - 186 SN - 2352-5401 UR - https://doi.org/10.2991/amcce-17.2017.31 DO - 10.2991/amcce-17.2017.31 ID - Liu2017/03 ER -