I want to do a simple coordinate transformation and would like to know what is the rigorous way to describe this mathematically in order to be able to search for algorithms for more complex transforms. I am not sure that is really a coordinate system conversion since I see that during a conversion, the geometry usually stays the same and the coordinates are rewritten in the new system.
I, on the contrary, actually want to transform my geometry by substituting one coordinate axis while still staying in a Cartesian space. The purpose of this is to build a complex FEA model of a cylindrical shell by building a developed cylinder initially, then 'folding' it into shape. What is the term for this, any formula links? TIA.
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