Extra VRAM required for Filtered and MipMapped

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Hi All, I can't recall if it's Filtered Images or Mip Mapped Images that require more VRAM (or both). I recall something about a texture 1/4 the size and then 1/16th the size etc which I think must have been for mip mapped.

I'm basically trying to work out the VRAM an image uses. For example:

1024x1024x4 = 4Mb for a plain image. How much more for filtered, and how much more for mip mapped.

Anyone know? Thx.