A method of constructing an EP map is provided. The method comprises obtaining a first surface model of an anatomic structure, the first model comprising an alpha shell of a cloud of location data points. The method further comprises obtaining a second surface model of the structure, the second surface model comprising an alpha shell of a cloud of measurement points. The method further comprises processing the first and second models to identify, for at least one of the location data points, a point on the second surface model that is closest in distance to the location data point, wherein said identified point has a value of said EP parameter associated therewith. The method still further comprises assigning a visual indicator to the location data point based on the EP parameter value associated with the identified point and in accordance with a visualization scheme corresponding to the EP parameter.