Type of research: applied Duration from: 01/01/91. to 12/31/94. Papers on project (total): 244
Institution name: Geodetski fakultet, Zagreb (7) Department/Institute: Institute of cartography Address: Fra Andrije Kačića Mioića 26 City: 10000 - Zagreb, Croatia
Communication
Phone: 385 (0)1 4561 225
Phone: 385 (0)1 4561 222 / 176
Fax: 385 (0)1 445 410
Summary: The theory of cartographic projections has been developed
on the basis of analytical geometry, linear algebra and differential
geometry oriented towards the direct computer application. The equations
of the normal aspect of central perspective conic projections of the
sphere have been derived, and the algorithms for the calculation and the
diagram of distortions have been worked out. The modifications of the
Gilbert's projection have been carried out and the formulas for
calculating distortions suitable as well for computer assisted graphic
presentations have been derived. Searching the optimal modern algorithms
for computations in the Gauá-Krger projection, some tasks of a current
interest for Croatia have come in the foreground: determination of the
air cooridor intersections with the state border and the determination of
the territorial units area, the area of the Croatian sea and the area of
the epicontinental belt. The algorithms have been worked out for
calculating the intersection of the air corridors with the state border
and for determing the area with the accuracy estimation of territorial
units on the basis of digitized borders from the maps in Gauá-Krger
projection. It has been proved that by means of this method the area can
be determined with very high accuracy even from the map at the scale of
1:1 000 000. Thus the so far unknown area of the Croatian Sea and of the
epicontinental belt have been determined. The computer program for affine
transformation of coordinates between the old coordinates systems at the
territory of Croatia and the system of Gauá-Krger projection has been
designed on the basis of 14 datafiles of identical points and one
datafile of the transformation coefficients. After analysing more than a
hundred algorithms, the best algorithm today, regarding the distribution
of errors for the calculation of ellipsoidal coordinates from the spatial
rectangular coordinates, has been worked out. The algorithm efficiency
for calculating the geodetic altitude from the isometric latitude has
been analysed. A few of our own algorithms have been suggested. After our
modification, the Bowring's algorithm proved to be the most efficient.
The algorithms for mapping a sphere to the rotational ellipsoid and vice
versa by using trigonometric series have been developed. For the purpose
of differentiating the objects on the maps today's CAD and GIS packages
have numerous areal patterns at their disposal which, however, are not
always sufficient. Therefore we have generated our own new patterns. When
the patterns are generated through the application of graphic variable
"tone value", then the number of selectable degrees is limited. The
researches have shown, that at the most seven degrees of the tone value
can be used.
Research goals: To develope a modern theory of map projections on
the basis of analytical geometry, linear algebra and differential geometry
oriented towards the direct application of computer. Through the
application of thus developed theory to research some so far less known
projections: perspective conic, Gilbert's projection. For the purpose of
state surveying and production of topographic maps in the majority of the
countries in the world, the Gauá-Krger projection is used. According to
our evaluation, there are no optimal solutions for solving the geodetic
problems in that projection. Therefore, the outmost goal in the
modernization of the algorithms for computation in the Gauá-Krger
projection is to develope one's own software on the basis of the new and
modern algorithms. The transformation of the map contents from one
cartographic projection into the other has so far been practically an
unsolvable problem in most of the cases. The computer assisted methods
have enabled efficient solution of this problem being very important in
the formation of geoinformation systems. The goal of our researches is to
examine the existing procedures and to suggest new procedures together
with their evaluation. Furthermore, it is to be found out, to which extent
the areal patterns available in today's CAD and GIS packages meet the
cartographic demands for the differentiation of objects on maps.
OTHER ACHIEVEMENTS
Name
: Bibliografija geodetskog lista 1947-1990 Type of achievement: Catalogues, address books, Authors: Frančula N., Boićnik M., Vučetić, N., Petrović S. Other information about the project.