Interpolation
Abstract
Atmospheric observations are often collected from irregularly distributed spatial locations. Numerical weather prediction models require a set of atmospheric state variables on an analysis grid mesh at a specified time, where the analysis grid mesh is a theoretical N-dimensional space with regularly distributed values. Interpolation converts real-world data to the would-be-ideal grid points satisfying theoretical regularity. It processes and maps irregularly distributed real-world data onto a theoretically regular analysis grid space. This chapter presents simple interpolation techniques through a sequence of function-fitting examples, to successive correction and optimal interpolation methods. The concepts of linear ...
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