Abstract: A computer-implemented technique is described herein for interpolating input data that includes image and/or audio content. The technique identifies plural sizes associated with different respective phenomena exhibited by the input data. The technique then interpolates the input data in a pipeline that includes plural passes. The plural passes are controlled using plural respective parameter values. The plural respective parameter values, in turn, are selected based on the plural respective sizes, arranged from largest to smallest. In other implementations, the technique chooses pass-specific algorithmic changes to be applied by the interpolation algorithms used by the different passes. In other implementations, the technique chooses its configurations without regard to sizes of phenomena that may be exhibited in the input data. The technique is advantageous because it reduces the presence of artifacts in output data produced by the computer-implemented technique.