A new method for constructing interpolating Loop subdivision surfaces is presented. The new method is an extension of the progressive interpolation technique for B-splines. Given a triangular mesh M, the idea is to iteratively upgrade the vertices of M to generate a new control mesh overline M such that limit surface of overline M would interpolate M. It can be shown that the iterative process is convergent for Loop subdivision surfaces. Hence, the method is well-defined. The new method has the advantages of both a local method and a global method, i.e., it can handle meshes of any size and any topology while generating smooth interpolating subdivision surfaces that faithfully resemble the shape of the given meshes. The meshes considered here can be open or closed.
|Number of pages||8|
|Journal||Journal of Computer Science and Technology|
|State||Published - Jan 2009|
Bibliographical noteFunding Information:
Regular Paper Research work presented here is supported by NSF of USA under Grant No. DMI-0422126. National Natural Science Foundation of China under Grant Nos. 60625202, 60533070.
- Geometric modeling
- Loop subdivision surface
- Progressive interpolation
ASJC Scopus subject areas
- Theoretical Computer Science
- Hardware and Architecture
- Computer Science Applications
- Computational Theory and Mathematics