I would like to define some simple geometric primitives (e.g. points and lines) and see what happens when I transform them by a non-linear transformation (in my case $(x,y)\mapsto (\sqrt x,\sqrt y)$). The result should be an image showing $\{(\sqrt x, \sqrt y)|(x,y)\in X\}$, where $X$ is some set I defined before, like union of points and lines.
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I tried playing with TransformedRegion
. I can apply it to a single line, but for example {Line[p1,p2],Line[p2,p3]}
is not a correctly specified region. Also, putting TransformedRegion[Line[p1,p2],F]
(for some defined function F) to Graphics
does not work, since "TransformedRegion is not a Graphics primitive or directive".