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Surface area processing in GIS
Sandeep N Kundu
IFGI, University of Münster, 48149 Münster, Germany
Phone: 0049 251 8330058 Fax: 0049 251 8339763
Email: skundu@ifgi.uni-muenster.de

Biswajeet Pradhan
Asian Institute of Medicine, Science & Technology,
08000, Sungai Petani, Kedah Darul Aman, MALAYSIA
Phone: 00604 445 2233 Ext. (222) Fax: 00604 442 2887
Email: biswajeet@aimst.edu.my (presenting author)
Introduction
Area is a fundamental parameter derived from terrain analysis which is necessary for numerous
decision-making processes. There is a need to obtain an accurate approximation of distance and
area which are the fundamental terrain parameters associated with spatial data content since these
have a bearing on cost (Navigation, cadastral applications). This problem has been addressed within
the framework of a given data scale and a suitable projection. In most elementary GIS models,
distance and area calculations are based on the vector data model which is a planar
approximation of data layers. This does not approximate distance or area on an undulating
surface as in reality. Given the pre-conditions that the data layers are in the desired scale and
projection, a novel way to integrate a raster elevation model to retrieve the near true area and
distance (involving elevation data & slopes) is proposed.
Methodology
The technique utilises a Digital Elevation Model (DEM) layer in addition to the vector polygon
layers and experiments on some algorithms for surface area calculations for the polygon parcels.
The technique can also be extended to distance calculations.
A DEM is essentially, “a regular gridded matrix representation of the continuous variation of
relief over space” (Burrough & McDonnell, 1987). This in fact means that a DEM is a continuous
grid containing the elevation at its spatial location in each grid cell. Before the 80s, topographic
contour maps and aerial photographs were the primary sources of geomorphological
information. The accuracy of these maps was highly questionable and there were also
discrepancies in information content for two maps for the same region but from different sources. After the advent of DEM this discrepancy was reduced to a large extent. Nevertheless, a
DEM is also subject to error depending of the method of its acquisition as each method has its
own advantages and limitations. Usually a DEM is interpolated from digitising spot heights as
recorded on field or from an existing contour map. But a better DEM is extracted from stereo
aerial photographs or stereo digital remote sensing imagery. A DEM was preferred to a TIN
because the latter is based on slope inflection points and fail to capture the subtle difference in
slope along a particular aspect.
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