Piecewise linear prewavelets over type-2 triangulations

Abstract

In this article, we study the construction of piecewise linear prewavelets over type-2 triangulations. Different from a so-called semi-prewavelet approach, we investigate the orthogonal conditions directly and obtain parameterized prewavelets with a smaller support. The conditions for parameterized prewavelet basis on the parameters are also given.

Keywords:

• Linear splines
• Prewavelets
• Smaller support
• Triangulation

Keywords:

• AMS 2000 Classifications: 41A1541A63
• 65D07
• 68U05