Multi-level Hermite Variational Interpolation and Quasi-interpolation

Release time:2016-04-25

Journal:Visual Computer

Key Words:Interpolation – Quasi-interpolation – Hermite – Multi-level

Abstract:Based on the Hermite variational implicit surface reconstruction presented in Pan et al. (Science in China Series F: Information Sciences 52(2):308–315, 2009), we propose a multi-level interpolation method to overcome the problems resulted from using compactly supported radial basis functions (CSRBFs). In addition, we present a multi-level quasi-interpolation method which directly uses normal vectors to construct non-zero constraints and avoids solving any linear system, a common step of variational surface reconstruction, and leads to a fast and stable surface reconstruction from scattered po

Co-author:Shengjun Liu, Guido Brunnett, Jun Wang

Indexed by:Unit Twenty Basic Research

Document Type:J

Volume:23

Issue:6

Page Number:627-637

Translation or Not:no

Date of Publication:2013-04-20

Links to published journals:http://xueshu.baidu.com/s?wd=paperuri%3A%285f7785e9c92f31f508ba0acec4b4b73c%29&filter=sc_long_sign&tn=SE_xueshusource_2kduw22v&sc_vurl=http%3A%2F%2Flink.springer.com%2F10.1007%2Fs00371-013-0801-9&ie=u