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Visual Computing for Industry, Biomedicine, and Art
Fig. 2 | Visual Computing for Industry, Biomedicine, and Art

Fig. 2

From: Intensity-curvature functional based digital high pass filter of the bivariate cubic B-spline model polynomial function

Fig. 2

Intensity-curvature functional of the three model functions. The intensity-curvature functional (ICF) is the ratio of the intensity curvature terms (ICT) before (Eo (x, y)) and after interpolation (EIN (x, y)). Here, the ICF appears as the HPF even though the ICTs are not HPFs. These correspond to the cases when the convolutions of pixel intensity values in the defining equation of the ICF are not responsible for the creation of the high pass (HP) filtering effect, which shows up in the ICF images. The HPF-like appearance of the ICF in such cases can be attributed to the effect of the ratio between ICTs. This figure demonstrates that the gradients embedded in the formulation of the ICTs are not the reason for this appearance

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