  The stochastic rounding (SR) function is proposed to evaluate and demonstrate
the effects of stochastically rounding row and column subscripts in image
interpolation and scan conversion. The proposed SR function is based on a
pseudorandom number, enabling the pseudorandom rounding up or down any
non-integer row and column subscripts. Also, the SR function exceptionally
enables rounding up any possible cases of subscript inputs that are inferior to
a pseudorandom number. The algorithm of interest is the nearest-neighbor
interpolation (NNI) which is traditionally based on the deterministic rounding
(DR) function. Experimental simulation results are provided to demonstrate the
performance of NNI-SR and NNI-DR algorithms before and after applying smoothing
and sharpening filters of interest. Additional results are also provided to
demonstrate the performance of NNI-SR and NNI-DR interpolated scan conversion
algorithms in cardiac ultrasound videos.
