In an implementation, an appearance of a lens is applied to an original image by a data processing system to produce a presentation for display on a display screen, the appearance of the lens having a focal region at least partially surrounded by a shoulder region. A data interaction mode is provided by the data processing system to interact with underlying data of the focal region if a cursor is positioned over the focal region in the presentation. A lens interaction mode is provided by the data processing system to adjust one or more parameters of the appearance of the lens if the cursor is positioned over the shoulder region in the presentation. The presentation is displayed on the display screen.