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I rather disagree with the stairstep theory of interpolation...if you are using Photoshop CS or CS2. In PS CS new algorithms were created which allow one to resample images in one step as well as any other more laborious technique.

There was a long thread on the Adobe forums a year or so ago with dozens of opinionated people chiming in with their favorite techniques of resampling images. The general consensus was stimulated by Chris Cox who, in the beginning of several hundred posts, asserted that the new algorithms were as good as you could do. I came to believe him and use, almost exclusively, Bicubic Sharper and Smoother.