Exemplary methods and systems visualize or contour a power distribution system state by displaying to an operator output data values interpolated at output data locations from input data including distributed input data sensor locations in three dimensions and corresponding dynamically updated input data values. The method includes defining triangles in the volume, and determining, for each triangle, closest input data locations according to a closeness criteria. The method also includes projecting each triangle onto a visualization plane, and determining, for an output data location on the visualization plane at least one triangle, the projection of which includes the output data location. The method interpolates, for the output data location, the input data values of the closest input data locations of each of the at least one determined triangle to generate an output data value corresponding to the output data location.