Here a computer program has been written to
obtain a Digital Terrain Model which is a regularly
spaced grid of height points discrete from ir-
regularly spaced points such as digitized con-
tours.
Authors: Dr. K. Kubik (Netherlands)
Dr. A. Botman (Netherlands)
Title: Interpolation Accuracy for Topo-
graphic and Geological Surfaces
PP III/32
This paper considers the theoretical accuracy
of point interpolation for topographic and geo-
logical surfaces. The accuracy results prove that
interpolation accuracy depends primarily on the
properties of the surface, on the spacing of the
control points, and, to a much lesser extent, on
the interpolation methods used.
Author: Dr. W. Marckwardt (G.D.R.)
Title: The Mathematical Treatment of Digi-
tized Curved Lines PP ///30
A qualitative characteristic is correlated to each
digitized point, permitting an analysis of the
curve with a view to generalization and decima-
tion of the data set to be stored.
Author: Dr. U. Rauhala (U.S.A.)
Title: A Review of Array Algebra PP 111/48
Array algebra is a concept generalizing conven-
tional vector, matrix and tensor algebra. It deals
with systems of multilinear equations that are at
the base of the "fast" solution algorithms like
the FFT. Estimation using array algebra is based
on the theory of loop inverses, which is an ex-
tension of the generalized matrix inverses. A
multilinear function theory, the array prediction
using covariance functions, is the main applica-
tion of the array estimation. It is based on banded
R-matrices. With a regular grid of data consider-
able savings are achieved in computation and
core space requirements compared with the
conventional case.
The first paper of the session was presented by
Mr. G. Schut from Canada.
Invited Paper
Author: Mr. G. Schut (Canada)
Title: Interpolation Methods for Digital
Terrain Models IP 111/07
This paper reviewed the methods of height inter-
polation for digital terrain models which had
been published in photogrammetric and related
journals.
In the course of the following general discus-
sion, Dr. U. Rauhala (U.S.A.) said that his array
algebra provides a general solution for all inter-
polation methods. He said an advantage of his
method is that the computer time required in-
creases only linearly with the number of pa-
rameters used.
Presented Papers
Author: Mr. O. Ayeni (U.S.A.)
Title: Objective Terrain Description and
Classification for Digital Terrain
Models PP 11/71
Here various quantitative methods for describing
102
a terrain had been investigated. Based on the
different terrain characteristics four major classes
of terrains which span the whole spectrum of
terrain types had been identified, using tech-
niques of objective classification theory derived
from multivariate statistical cluster analysis.
Suggestions were made as to how the reactions
of various interpolation techniques could be
properly evaluated in relation to the four major
classes of terrains with a view to achieving auto-
mation.
Author: Dr. W. Stanger (F.R.G.)
Title: The Stuttgart Contour Program
SCOP — Further Development and
Review of Its Application PP ////56
The Stuttgart Contour Program SCOP described
here has been conceived as an independent part
of a data flow ranging from (semi) automatic
data acquisition up to the automatic plotting
of isolines. A grid-form digital terrain model is
obtained as an intermediate result. This D.T.M.
also provides a wealth of information and has
many independent uses. The possibility of using
the SCOP program for the production of special-
purpose thematic maps also deserves mention.
Author: Mr. E. Assmus (Austria)
Title: Extension of Stuttgart Contour Pro-
gram to Treating Terrain Break-Lines
— Theory and Results PP 111/10
For the computation of maps with complex geo-
morphological structures an expanded program
version SCOP-B has been developed. For this
purpose linear prediction has been modified in
such a way as not to permit the points separated
by terrain break-lines to correlate with one an-
other. In this way the edges of the terrain are
clearly indicated. This paper deals with the
theoretical foundations of program extension and
its technical realisation. With the aid of a number
of maps, computed by means of SCOP-B, the
absolute accuracy of the contour lines is ex-
amined and their cartographic quality demon-
strated.
Author: Dr. O. Hofmann (F.R.G.)
Title: KARTOSCAN — A New MBB-Data-
Acquisition System for Cartography
Use PP 1l/19
KARTOSCAN is a fully automatic system for the
digitization of maps, especially contour lines.
Compared with conventional digitization methods,
the time-consumption is 1/500. A computer is
used for the formation of lines from the tonal
values of all screen points stored on magnetic
tape.
Authors: Mr. A. Beier (G.D.R.)
Mr. P. Hanke (G.D.R.)
Title: The DIGICART Data Processing Sys-
tem and Its Applicability to Survey-
ing and Mapping PP 11/13
The introduction of electronic data processing
to surveying was exemplified by the DIGICART
project. The capabilities and automatic facilities
of the system were explained, covering the
processes from aerial photography to the pro-
duction of the topographical map. DIGICART
permits the selective acquisition, processing and