|> Has anyone out there ever done convolution in polar coordinates? I've derived
|> what I believe to be the correct transformation of rectangular convolution
|> into polar coordinates, but it is giving me inconsistent results. Is polar
|> convolution possible? I haven't found any references in the literature.
|> Any comments or references would greatly be appreciated.
There is a similar problem in statistics, when the data to be analysed
are "circular" in nature (e.g. compass bearings). When the pdf's of in these sorts of problems have to be calculated, a "modulo" convolution operation
has to be defined. There is a book on this topic by K.V. Mardia, "Statistics of Directional Data", Academic Press, 1972.
I'm not sure whether this is of any use, but it sounds similar to the problem
as you've stated it.