simple question about glTexImage2D and texture objects

I have tried to look this up on google but couldn't find a definite awnser. My question can be asked by posing a small little example. Say you store into a specific texture object via glTexImage a 1024 by 1024 image. Then later you bind to that texture image and use glTexImage again to load in a 256 by 256 image. This is clearly much less memory than before, but is the huge amount of memory first allocated for the object freed since now it only has to deal with this small image? Edit: And I know I could technically use glDeleteTextures to be guaranteed I am freeing the memory, but if opengl takes this into consideration I would prefer to do things as mentioned above. [edited by - Khaos Dragon on June 4, 2004 7:27:28 PM]