Taylor series based two-dimensional digital differentiators
Ishtiaq Rasool Khan, Ryohji Ohba · IEE Proceedings - Vision Image and Signal Processing · 2002
A new type of Taylor series based 2-D finite difference approximation is presented, and it is shown that the coefficients of these approximations are not unique. Explicit formulas are presented for one of the possible sets of coefficients for an arbitrary order, by extending the previously presented 1-D approximations. These coefficients are implemented as maximally linear 2-D FIR digital differentiators, and their formulas are modified to narrow the inaccuracy regions on the resultant frequency responses, close to the Nyquist frequencies.