to change what you think the meaning of something is

The technique trains patients to reinterpret a traumatic event from a different perspective.

Insurance policies are being re-interpreted after the fact to provide for coverage that was not contemplated when the policies were written. 事后正在重新解释保单，以提供保单制定时未考虑的承保范围。

to perform a play, piece of music, etc. in a way that expresses your own new ideas about it, or to create something again using new ideas

When people recreate old music they tread a fine line between reinterpreting it and mimicking it.

The dresses our grandmothers wore are being re-interpreted for today. 我们祖母辈那代人穿的服装在今天被赋予了新的时尚。