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How do these two concepts relate?

Thus far I have a (what I think is a) good intuitive idea of a continuous deformation- the visual basically looks like the boundary being stretched so that it never passes across a hole in the main body.

But then looking into affine transformations of conics there seems to be potential that the two relate.

Is one a more powerful form of the other? Completely different?

user70147
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    This post may give you an idea of how one can obtain an affine transformation as the result of a continuous deformation. Orientation-reversing affine transformations aren't covered by that, though. – MvG Sep 02 '14 at 22:01
  • Thank you sire. Will have a read. – user70147 Sep 03 '14 at 17:41
  • Original poster likely has a continuum mechanics in mind. In mathematics, there are no specific relation between the concepts, except for continuity of affine transformations. I’d say there is some relationship between affine transformations and differentiability. – Incnis Mrsi Nov 02 '14 at 17:17

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