Cubic Interpolation

Figure 19 proposes three synthesis functions of identical support which have essentially the same computational cost. On the left, despite the use of the optimal parameter a = Keys offers the poorest visual performance since the central part of the figure is blurred. In addition, close inspection ( particularly on a monitor screen) discloses blocking artifacts that betray themselves as moire patterns. Those are absent with cubic spline and cubic o-Moms interpolation, although patterns unrelated to interpolation may be present on paper, because of the dithering process inherent in printing these figures. More important, cubic spline interpolation results in less blurring, and cubic o-Moms in even less.

TABLE 2 Experimental results in numerical form

Synthesis function

Time (s)

Circular (e2, dB)

Lena (e2, dB)


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