Determining the locations and discontinuities in the derivatives of functions
- 作者：Rick Archibald ; Anne Gelb ; Jungho Yoon
- 关键词：Edge detection ; Derivative discontinuities ; Piecewise smooth functions ; Polynomial annihilation
- 刊名：Applied Numerical Mathematics
- 出版年：2008
- 期刊代码：8_01689274
- 类别：cp
- 出版时间：May 2008
- 卷：58
- 期：5
- 页码：577-592
- 文件大小：735 K
摘要
We introduce a method for detecting discontinuities in piecewise smooth functions and in their derivatives. The method is constructed from a local stencil of grid point values and is based on a polynomial annihilation technique. By varying the order of the method and the arrangement of the corresponding stencils, the jump discontinuities of a function and its derivatives can be identified with high order accuracy. The method is efficient and robust and can be applied to non-uniform distributions in one dimension.