ABSTRACT
Figure 3.5: Comparison of (a) total variation and (b) PIP-interpolation restora
tions of two disconnected ramps, one linear, the other second order. This exam
ple identifies a deficiency of the interpolation approach — when the magnitude
of an edge is not large enough to put it in the “TV-region” of the norm, it will
be smoothed out. (c) By changing the region of transition of the polynomial,
we can determine the level at which smoothing of low-intensity edges sets in.