I want to perform interpolation using cost distances rather than euclidean distances similar to Greenberg et al. (2011). In that paper they use r.cost in GRASS to compute cost distances for each prediction location. Unfortunately I am more familiar with ArcGIS than GRASS. Can I use the diffusion/kernel interpolation with cost surfaces in ArcGIS rather than GRASS/r.cost? Would I get equivalent results?
Greenberg, J.A., C. Rueda, E.L. Hestir, M.J. Santos and S.L. Ustin. 2011. Least cost distance analysis for spatial interpolation. Computers & Geosciences 37:272-276. http://dx.doi.org/10.1016%2Fj.cageo.2010.05.012