HE modern computer has imparted new power and meaning to the old axiom One picture is worth a thousand words (Davies et al. 1990). Machine visualization-the art, science, and technology of seeing via computer graphics-has developed the means to view the unviewable: natural events and processes invisible to the unaided eye because they are too abstract, complex, fast, remote, small, or large (Friedhoff and Benzon 1991). Earth's topography is an apt example of the last restriction. Customary methods for viewing the landscape do not simultaneously provide broad coverage and accurate detail. The Earth's surface cannot be seen at 1:1 scale in its entirety and all at once, but just in many small areas visited sequentially in the field-clearly too great a task even over the lifetime of an individual. Spatial continuity and context can only be obtained at greatly reduced scales: on contour maps and aerial photographs, on radar images, or at even smaller scales on satellite images. Computer graphics overcomes these problems and offers a fresh look at the Earth's landform patterns by mechanizing an old approach: relief representation (Brassel et al. 1974). The well-known technique of shading, or chiaroscuro, developed by Renaissance painters, shows topographic form by intensity of the Sun's shadows (Imhof 1965). Because manual (artistic) methods can economically portray only small areas both accurately and in detail, Yoeli (1967) adapted a quantitative variant of the technique, termed analytical hillshading, for digital execution. Large areas have been mapped by mechanized shading, but until recently spatial resolution has remained low (e.g., Moore and Simpson 1982). Our digital relief map of the entire conterminous US (Fig. 1), which shows features as small as a mile across, is one of the first images to combine detail with synoptic coverage (for a Swedish example, see Elvhage and Lidmar-Bergstrdm 1987). The machine-shaded maps shown here resemble cloudless aerial photographs, but actually are large arrays of minute gray rectangles (nominally squares). Each rectangle, or picture element (pixel), represents a reflectance (brightness) value of the topography computed from a mathematical expression called the photometric function. This equation, which has many variants, relates (1) ground slope and azimuth, (2) location of the observer (here, overhead), and (3) position of a simulated Sun (here, from the west-northwest at 250 above the horizon) (Yoeli 1967; Batson et al. 1975). Light and dark tones on the resulting image show steep areas; intermediate tones are gentle terrain. The data from which the maps are created are dense square-grid matrices of terrain
Read full abstract