We present a method that flattens a curved surface and its neighborhood to create effective, uncluttered visualizations by applying standard flow visualization techniques in the deformed space. Level sets of the distance from the curved surface are mapped to parallel planes. Data fields are mapped accordingly. Our method eases the visual inspection and analysis of a curved surface's vicinity by providing a flat space that supports the creation of standardized views. This is particularly useful for visualizing flow fields in the boundary layer.