Disclosed systems and methods perform histogram-based shape mapping for propagating changes across similar shapes in multiple artboards. An image processing application executed by one or more processing devices accesses a first shape to be displayed in a master artboard and a second shape to be displayed in a child artboard. The image processing application computes a first histogram for the first shape and a second histogram for the second shape. The image processing application maps the first shape to the second shape based on a level of similarity between the first and second histograms. The image processing application detects a change to the first shape in the master artboard. The image processing application propagates the change to the second shape in the child artboard based on the first shape being mapped to the second shape.