Getting a picture through a fine chain linked fence is doable with a telephoto lens. The mesh on this fence is no more than one inch / 2.54 cm across.
The telephoto is a 70 - 300 mm nikon lens on a nikon D3500 camera. The picture above is set at the lowest range of 70 mm.
As I start to zoom out, the fence starts to disappear like magic. I am in the same spot just engaging the zoom.
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At the full range of 300 mm the picture is sharpe with no sign of the fence mesh. But the mesh is there non the less.