A wavelet based methodology for scale‐space anisotropic analysis

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Abstract
It is well known that several geophysical fields exhibit characteristic features at different scales. For some such fields scale‐space anisotropy is also present, that is, features contributing significant fraction of energy are oriented in different directions at different scales. Examples of such fields include clouds, rainfall, hurricanes etc. A technique based on wavelet transforms (with two‐dimensional directionally oriented Morlet wavelet) is developed to analyze such random fields. This methodology has significant advantage over Fourier transform based techniques and is demonstrated using the analysis of a spatial rainfall field.

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