The main concept of this research is the well-accepted and recognized equation that models the pulse-transfer function (PTF) as the ratio between the Z-transform of the filter output and the Z-transform of the filter input. The proof of concept has been tested to verify the main modelling aspect using theoretical images. The proof of concept is then mathematically extended, so as to use the PTF to filter images in Z-space using Bessel, Butterworth, and type I Chebyshev filters. Z-space filtering is determined using inverse Z-transform of the pointwise multiplication between Z-space of PTF and Z-space of departing image. The filtered image is reconstructed using inverse Z-transform of the Z-space multiplication. Further, the PTF is calculated using scaled data and is called normalized transfer function (NTF). The NTF is then compared to Fourier convolution image. This paper documents methodology and technology used for the calculation of the PTF of discrete digital filters. The proof of concept is verified successfully. The novelty of this research is Z-space filtering in two dimensions using PTF. [ABSTRACT FROM AUTHOR]