2D or 3D dataset transformations, interpolations and resampling operations are essential techniques that are able to display graphical models in several fields such as medical visualization and engineering. In this study, an overview of interpolation approaches of the last ten years was given and a resampling application for magnetic resonance images was implemented using free form cubic b-spline deformation model based transformed images. In addition, the registration error was shown as a grid view for the 2D nonrigid registration.