The Mitchell–Netravali filters were designed as part of an investigation into
artifacts from reconstruction filters. The filters are piece-wise
cubic filters with four-pixel wide
supports. After excluding unsuitable filters from this family, such as
discontinuous curves, two parameters B and C remain, through which the Mitchell–Netravali filters can be configured. The filters are defined as follows: : k(x) = \frac{1}{6} \begin{cases} \begin{array}{l} (12-9B-6C)|x|^3 + (-18+12B+6C)|x|^2 \\ \qquad + (6-2B) \end{array} & \text{, if } |x| It is possible to construct two-dimensional versions of the Mitchell–Netravali filters by
separation. In this case the filters can be replaced by a series of interpolations with the one-dimensional filter. From the color values of the four neighboring pixels P_0, P_1, P_2, P_3 the color value is then calculated P(d) as follows: :\begin{align} P(d) &\textstyle = \left((-\frac{1}{6}B-C)P_0 + (-\frac{3}{2}B-C+2)P_1 + (\frac{3}{2}B+C-2)P_2 + (\frac{1}{6}B+C)P_3\right) d^3 \\ &\textstyle + \left((\frac{1}{2}B+2C)P_0 + (2B+C-3)P_1 + (-\frac{5}{2}B-2C+3)P_2 -CP_3\right) d^2 \\ &\textstyle + \left((-\frac{1}{2}B-C)P_0 + (\frac{1}{2}B+C)P_2\right) d \\ &\textstyle + \frac{1}{6}BP_0 + (-\frac{1}{3}B+1)P_1 + \frac{1}{6}BP_2 \\ \end{align} P lies between P_1 and P_2; d is the distance between P_1 and P. == Subjective effects ==