A new intrinsic numerical method for PDE on surfaces

作者:Wu Jyh Yang; Chi Mei Hsiu; Chen Sheng Gwo*
来源:International Journal of Computer Mathematics, 2012, 89(1): 54-79.
DOI:10.1080/00207160.2011.627435

摘要

In this note, we introduce a simple, effective numerical method, the local tangential lifting method, for solving partial differential equations for scalar- and vector-valued data defined on surfaces. Even though we follow the traditional way to approximate the regular surfaces under consideration by triangular meshes, the key idea of our algorithm is to develop an intrinsic and unified way to compute directly the partial derivatives of functions defined on triangular meshes. We present examples in computer graphics and image processing applications.

  • 出版日期2012