Can remove a view but not her "result"?

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http://stackoverflow.com – I have a program which move imageview on touch and when the user press the specific button, he can draw with his finger but he cannot move the imageviews. After that, if the button pressed again I remove the view so the imageviews can move again and stop the drawing, but when I do this the previous lines dissapears, something that I don't want to happen. How I could change between these two states without lose the results of drawing? (HowTos)