What multigrid and Poisson do to one's image
2007
htmlabstractThough the pun in the title is intended, it is not quite fair to Piet Wesseling as he is a
person who promoted the development of multigrid to far more complicated equations
than the Poisson equation. Instead, the title should be taken more literally as it truly
relates to the contents of this note. It is shown that while multigrid is renowned for his
efficiency in solving partial differential equations, integral equations and what not, it can
also, maybe surprisingly, be used for the multiresolution of images.
Keywords:
- Calculus
- Independent equation
- Method of characteristics
- Geophysics
- Geology
- Laplace's equation
- Differential equation
- Uniqueness theorem for Poisson's equation
- Discrete Poisson equation
- Multigrid method
- Partial differential equation
- Mathematics
- Applied mathematics
- Poisson's equation
- First-order partial differential equation
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