1. A mean preserving interpolation calculation circuit that obtains interpolation data for a missing pixel such that a mean value of a sequence of pixels constituting a group of pixels including the missing pixel is equal to a mean value of another sequence of pixels constituting a group of pixels not including the missing pixel, wherein the number of pixels constituting the group of pixels including the missing pixel and the number of pixels constituting the group of pixels not including the missing pixel are each k, k being a positive integer.