or minimize errors and anomalies in the models. This
common concern leads to a variety of analytical and
empirical approaches that are bound together by basic
mathematical and physical properties, and a common desire
to develop new production scenarios for digital terrain
that better define the surfaces being modelled.
A major problem in the discussion of digitaF terrain models
is the definition of what is meant by the terminology used
in the description of the model and associated accuracy
statements. For purposes of this paper, a Digital Terrain
Model (DTM) is defined as any numerical representation of
a landform, not to be confused with a Digital Elevation
Model (DEM), which only describes digital terrain elevations
at regular or irregular intervals. Note that a DEM is one
version of the general class of DTM's. Furthermore, this
paper will concentrate on production of DTM's over large
landmass areas (one degree cells and larger) because many
significant problems arise that are not important in small
area production, :
CLASSES OF DIGITAL TERRAIN MODELS
There are many ways in which DTM's may be classified; how-
ever, DTM's may be logically discussed by classifying them
in terms of type of source data used for DTM generation,
the data collected .in DTM compilation, and the method of
representation of the DTM as a product. Each of these
classifications are important, because each class defines
the requirements for the compilation equipment, the mathe-
matics used in compilation, and the methodology for evalua-
tion and usage of the DTM.
Sources of DTM Information
DTM's may be produced from two basic sources, physical
measurement of the surface or mathematical derivation from
remotely sensed images of the surface. This paper will
constrain its discussion of physical measurement of the
surface to cartographic DTM's, those produced from digitized
contour sheets produced by conventional surface mapping.
All DTM's mathematically derived from remotely sensed
imagery will be designated as photogrammetric, consistent
with a similar definition appearing in the Fourth Edition
of the Manual of Photogrammetry.
Cartographically produced DTM's require digitization of
contour sheets either manually with the aid of a digitizer,
or by automatic methods using a raster scanner with sub-
sequent vectorization or by using a line following scanner.
if a grid of elevations are required, then some interpola-
tion algorithm must be used to generate points from the
contour information.