Geodetic foundations of cartography in Europe in 19th century

Geodetic surveying comprises the determination of locations on and the dimensions of the earth’s surface at a various scales. In the 19th century, its technologies are those of direct measurement of the earth’s surface combined with astronomical observations. Its social context encompasses all those individuals and institutions involved in the creation, preservation, use, and arrangement of knowledge of the earth. In the introductory part of the paper the author mentions several important events in the history of the 19th century geodesy. Geodetic work on determining the size of the Earth by measuring the lengths of the meridian arcs continues in this century. An international surveying organization was established and the international meter convention adopted. Basing on a detailed research of geodetic surveying in Central, Eastern and Southeastern Europe in the 19th century, a part of these surveys is presented that relates to Switzerland, Austro-Hungarian Monarchy, Austria, Hungary, Slovenia and Croatia. Common to all these geodetic surveys is that they were necessary for the development of cartography and were carried out by military institutions. The developed geodetic networks are characterized by the use of different ellipsoids, different prime meridians, different coordinate systems and their origin. In the area under consideration in the 19th century, there were five different ellipsoids in use suggested by Bessel, Bonenberger, Schmidt, Valbeck and Zach. Prime meridians were

Tradition of geodetic instruments production in the Czech Republic

The article describes the development of geodetic surveying and production of geodetic instruments in what is now Czech Republic. The beginnings of development can be found in the 12th–13th centuries during the colonization of the territory and the consolidation of state administration. Significant development peaks occurred in the 14th century during the reign of the Holy Roman Emperor and King of Bohemia Charles IV and then at the turn of the 16th and 17th centuries during the reign of the Holy Roman Emperor Rudolf II. The new direction is related to the development of industry at the end of the 19th century. At that time, several dozen companies in fine mechanics and optics were operating in Prague. The company J. & J. Frič was a world leader in the use of a glass divided circle in 1864. The production of astronomical and geodetic instruments in Czechoslovakia was successful until the end of the 1960s.

ANALYSIS AND GENERALIZATION OF REGULATORY SUPPORT FOR GEODESIC SUPPORT OF ROAD CONSTRUCTION OBJECTS

The transfer of the project to the site requires the performance of measurements and constructions with high accuracy. Changes in the technology of geodetic works related to the computerization of geodesy, the introduction into geodetic practice of electronic geodetic instruments and automated processing programs, require the introduction into production of both traditional methods of geodetic measurements and new technologies and methods of geodetic works. Despite the fact that geodetic works are an integral part of construction, in the regulations on surveys, design and construction of roads and man-made structures quite limited regulation of the content of work on the transfer of projects to the field, division work, executive surveys, geodetic quality control, accuracy requirements, etc. Given the current state of regulatory and legal support for geodetic support of road construction sites, it is advisable to develop a national standard for the implementation of geodetic surveying and geodetic control in the construction of road construction sites. This standard will supplement the main provisions of regulations on the construction of roads and transport facilities. With the growing volume of design, construction and overhaul of roads, it is necessary to standardize all stages of design and construction work, including those related to geodetic production. The development of technologies and methods of geodetic works related to the computerization of geodesy requires the introduction into production of both traditional methods of geodetic measurements and new technologies and methods of geodetic works. Based on the analysis and generalization of regulatory support for geodetic support of design and construction of roads and artificial structures, the need to develop a national standard for geodetic surveying and geodetic control in the construction of road construction as a supplement to the basic provisions of regulations on road construction and transport facilities.

FEATURES OF CONSTRUCTION OF DIGITAL RELIEF MODEL ACCORDING TO THE RESULTS OF GEODESIC SURVEYING LOCATIONS

Topographic maps in digital and electronic forms are created on the basis of available paper topographic maps or on the basis of primary materials of geodetic surveys. Geodetic surveys are performed both by ground methods, without the use of photogrammetric materials, and on the basis of materials obtained as a result of ground phototheodolite or aerial photography. The construction of a digital terrain model is a multi-stage process, which consists of a significant number of interconnected operations performed at the stage of in-house processing of the results of geodetic measurements carried out during engineering and geodetic surveys. The quality of the final result of modeling depends on the quality of each stage of construction of a digital terrain model, so it is extremely important to pay attention to all technological processes of model construction. The digital relief model is considered as an ordered set of triangular faces constructed by the Delaunay algorithm. The main condition of this type of triangulation is that in the middle of the circle described around any triangle can not be the vertex of another triangle. Construction of a digital terrain model based on the results of geodetic surveying of the area in the general case can be divided into several stages. At the beginning, an automated construction of triangulation is performed on the basis of the results of geodetic measurements, which carry information about three-dimensional coordinates of survey points. Allotments adjust the display of horizontals. Regardless of the selected surface display style, the surface model is a grid of triangles. At the next stage of construction of the digital model of a relief carry out visual control of the created model and if necessary carry out editing of elements of a surface and change of position of edges of triangulation for change of position of horizontals. The last stage of building a digital terrain model based on the results of geodetic surveying of the area is the design of modeling results, the application of individual styles of reflection for individual areas of the surface and the creation of mountain strokes and signatures of horizontals.

Photonic Microwave Distance Interferometry Using a Mode-Locked Laser with Systematic Error Correction

We report an absolute interferometer configured with a 1 GHz microwave source photonically synthesized from a fiber mode-locked laser of a 100 MHz pulse repetition rate. Special attention is paid to the identification of the repeatable systematic error with its subsequent suppression by means of passive compensation as well as active correction. Experimental results show that passive compensation permits the measurement error to be less than 7.8 μm (1 σ) over a 2 m range, which further reduces to 3.5 μm (1 σ) by active correction as it is limited ultimately by the phase-resolving power of the phasemeter employed in this study. With precise absolute distance ranging capability, the proposed scheme of the photonic microwave interferometer is expected to replace conventional incremental-type interferometers in diverse long-distance measurement applications, particularly for large machine axis control, precision geodetic surveying and inter-satellite ranging in space.

CURRENT SURVEYING METHODS FOR THE INTEGRATION OF ADDITIVE MANUFACTURING IN THE CONSTRUCTION PROCESS

The Technical University of Braunschweig (Brunswick) and Technical University of Munich were successful to establish a Collaborative Research Centre called “Additive Manufacturing in Construction (AMC) – The Challenge of Large Scale” starting from 2020 and funded by the German Research Foundation (DFG). The aim of this project is “to create the basic conditions for the introduction of additive manufacturing in construction, and thus to pave the way for the use of resource-efficient constructions with a high level of design freedom”. Surveying engineering (geodetic surveying, photogrammetry, laser scanning and GNSS) plays a major role in one of the sub-projects called “Integration of Additive Manufacturing in the Construction Process”. This paper aims at introducing the large scale AMC with the main focus on investigating the role of surveying engineering in this topic which will be a topic of high interest in the coming years in the digital fabrication within construction field. After a short introduction on additive manufacturing in construction, this paper will present the general aims and structure of the Collaborative Research Centre. Thereupon, the importance of geometric quality inspection and establishing and transferring different coordinate systems during the Additive Manufacturing (AM) construction steps (elements fabrication, installation and whole structure/building control) and the role of geodetic surveying, photogrammetry, laser scanning and GNSS will be outlined. This will be presented within a subproject called “C06: Integration of Additive Manufacturing in the Construction Process” and potentials and challenges for integrating surveying engineering in component and building level additive manufacturing in construction are mentioned.

ECONOMIC ANALYSIS OF QUARRY SURVEYING

There are several surveying methods whose practical function is to determine the areas of land, distances, heights, the amount of earthwork, and to produce reduced images of the earth's surface. The research looks at how geodetic and remote sensing methods can be used, and the results they provide in quarry surveying. The most important in quarry surveying is to get an accurate land surface for calculation of the volume of mineral resources. After quarries surveying, it is possible to calculate the amount of remaining mineral resources. Within the framework of the research, were performed surveying in quarries with geodetic surveying and remote sensing methods. For geodetic surveying was used GNSS receiver and a robotic total station, but from remote sensing methods were used aerial photography and aerial laser scanning. The most important reason why it is important to get an accurate surface and make an accurate volume calculation in quarry surveying is the economic factor. The economic analysis was carried out using a comparison method based on volume, market price and natural resources tax. The research presents the advantages and disadvantages of each surveying method and explains the results obtained, based on economic calculations. The main conclusion is that the accuracy of the preparation of land surface relief models is based mainly on economic calculations because mineral resources are a commodity that is bought and sold for which tax is payable.

Total Least-Squares Iterative Closest Point Algorithm Based on Lie Algebra

In geodetic surveying, input data from two coordinates are needed to compute rigid transformations. A common solution is a least-squares algorithm based on a Gauss–Markov model, called iterative closest point (ICP). However, the error in the ICP algorithm only exists in target coordinates, and the algorithm does not consider the source model’s error. A total least-squares (TLS) algorithm based on an errors-in-variables (EIV) model is proposed to solve this problem. Previous total least-squares ICP algorithms used a Euler angle parameterization method, which is easily affected by a gimbal lock problem. Lie algebra is more suitable than the Euler angle for interpolation during an iterative optimization process. In this paper, Lie algebra is used to parameterize the rotation matrix, and we re-derive the TLS algorithm based on a GHM (Gauss–Helmert model) using Lie algebra. We present two TLS-ICP models based on Lie algebra. Our method is more robust than previous TLS algorithms, and it suits all kinds of transformation matrices.