Brain topography beyond parcellations: Local gradients of functional maps

•Assessing the existence of local gradients in brain organization calls for multi-contrast analyses, such as task- vs. rest-fMRI.•Using about 200 parcels yields highest accuracy for local linear rest-to-task map prediction.•Combining results from multiple parcellations improves model accuracy.•Local linear models outperform whole-brain non-linear models.•Motor contrasts are less well predicted from resting-state activity than high-level contrasts.