First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
Course unit
SURVEYING AND CARTOGRAPHY (Ult. numero di matricola da 0 a 4)
INM0018106, A.A. 2016/17

Information concerning the students who enrolled in A.Y. 2014/15

Information on the course unit
Degree course First cycle degree in
IN0505, Degree course structure A.Y. 2011/12, A.Y. 2016/17
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Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination SURVEYING AND CARTOGRAPHY
Department of reference Department of Civil, Environmental and Architectural Engineering
E-Learning website
Mandatory attendance No
Language of instruction Italian
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Teacher in charge MASSIMO FABRIS ICAR/06

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses ICAR/06 Topography and Cartography 9.0

Course unit organization
Period Second semester
Year 3rd Year
Teaching method frontal

Type of hours Credits Teaching
Hours of
Individual study
Lecture 9.0 72 153.0 No turn

Start of activities 27/02/2017
End of activities 09/06/2017
Show course schedule 2019/20 Reg.2011 course timetable

Examination board
Board From To Members of the board
20 2018 gr. 5-9 01/10/2018 15/03/2020 ACHILLI VLADIMIRO (Presidente)
FABRIS MASSIMO (Membro Effettivo)
MENIN ANDREA (Supplente)
19 2018 01/10/2018 15/03/2020 FABRIS MASSIMO (Presidente)
ACHILLI VLADIMIRO (Membro Effettivo)
MENIN ANDREA (Supplente)
18 2017 gr. 5-9 01/10/2017 15/03/2019 ACHILLI VLADIMIRO (Presidente)
FABRIS MASSIMO (Membro Effettivo)
MENIN ANDREA (Supplente)
17 2017 01/10/2017 15/03/2019 FABRIS MASSIMO (Presidente)
ACHILLI VLADIMIRO (Membro Effettivo)
MENIN ANDREA (Supplente)
16 2016 gr. 5-9 01/10/2016 15/03/2018 ACHILLI VLADIMIRO (Presidente)
FABRIS MASSIMO (Membro Effettivo)
MENIN ANDREA (Supplente)
15 2016 gr.o-4 01/10/2016 15/03/2018 FABRIS MASSIMO (Presidente)
ACHILLI VLADIMIRO (Membro Effettivo)
MENIN ANDREA (Supplente)
14 2015 Canale 1 01/10/2015 15/03/2017 FABRIS MASSIMO (Presidente)
ACHILLI VLADIMIRO (Membro Effettivo)
MENIN ANDREA (Supplente)
13 2015 Canale 2 01/10/2015 15/03/2017 ACHILLI VLADIMIRO (Presidente)
FABRIS MASSIMO (Membro Effettivo)
MENIN ANDREA (Supplente)

Prerequisites: Extensive knowledge of mathematical analysis and physics.
Target skills and knowledge: The goal of the Course is to provide at students the theoretical and practical tools necessary to perform surveys finalized to the execution, knowledge, recovery and restoration of works of Civil Engineering and their inclusion in the national and international reference systems.
In the Course are deepened the theoretical aspects of the different survey topographic methodologies (classical surveys, GPS, photogrammetry, laser scanning) and analyzed practical applications in different fields, studying the achieved accuracies. Moreover, are presented and used the main topographic instruments that are employed in the context of different methodologies, hinting to the procedures for data processing and the final precisions. The study of the form of the Earth (geodesy) and its cartographic representations, allows the inclusion of the survey in situ in national or international reference systems.
Examination methods: Oral examination
Assessment criteria: The evaluation is performed on the basis of the knowledge and abilities acquired by the student, from the ability to identify suitable solutions to solve practical surveys problems, to that demonstrate mastery with the different topics of the Course.
Course unit contents: Introduction to the survey. Definition of a reference surface. The geoid and its approximations. Parametric equations of curves and surfaces in the space. Theorem of Meusnier, theorem of Euler. The Earth’s ellipsoid: definition of Meridians and Parallels, Latitude and Longitude. Geometry of the rotational ellipsoid. Mainly normal sections of the rotational ellipsoid: Meridian and First Vertical. Geodesics. Theorem of Clairaut. Approximate expressions of the geodesics equations. Approximate solutions for the reference surface: determination of the plane or topographic field and the spheric or geodetic field; planimetric and altimetric applicability limits. Geoid undulation, vertical deviation.
The cartographic problem. Classification of maps: conformal, equal-area and compromise projections. Perspective and develop projections. Analytical expressions of modulus of linear, surface and angular deformation. Concept of scale map. Flamsteed projection. Mercator projection. Universal Polar Stereographic (UPS) projection. The Gauss projection. The UTM (Universal Transverse Mercator) projection for the globe representation: fuses, bands and zones. The official Italian cartography in Gauss Boaga projection.
Elements of probability. Characteristic parameters of a distribution. Gaussian normal distribution. Variance, standard deviation, Root Mean Square. Maximum verysimilitude principle. Law of Pythagorean propagation errors. Least squares principle. Measurements adjustment, variance-covariance matrix.
Topographic networks; elements strictly necessary of a network. General overview networks. Densification networks and detail surveys. Simple and multiple forward intersection; inverse intersection. Polygonal. Surveying instruments: theodolites, levels and electronic distance-meters. Angles, elevation differences and distances measurements. Measurements of azimuthal and zenithal angles using optical-mechanical theodolites. Electronic distance-meters: measurement of inclined and horizontal distances, elevation differences. Topographic surveys by means of total stations. Altimetric survey: geometric leveling from the middle using optical-mechanical and digital levels. Geometric leveling for the testing of structures.
The GPS positioning system: the space, control and users segments. Equation of the pseudorange GPS distance. Influence of the main types of errors on accuracy. Absolute, differential and relative GPS positioning. GPS reference systems: WGS84, ITRF, ETRF. International, national and regional networks of permanent GPS stations. Equation of GPS leveling. Orthometric and ellipsoidal elevations applied to a real case.
Principles of photogrammetry. Rotations in the plane and in the space; rotational matrix in the space. Determination of the collinearity equations. The case plane in photogrammetry. Image plane parallel to the plane of the object. The normal case in stereoscopic restitution. Accuracies. External orientation independent and separate of the two images, simultaneous and joined of the two images in a phase, simultaneous and joined of the two images in two phases. Aerial triangulation: adjustment of the block with independent models and with projective stars. Radial and tangential distortion: calibration procedures. Flight Plan: definition of the parameters for the planning of a photogrammetric survey. Digital photogrammetry: numerical representation of image and radiometry. Autocorrelation algorithms in digital photogrammetry.
Terrestrial and aerial laser scanning: operating principles, instruments, precisions.
Planned learning activities and teaching methods: Frontal lessons and practical exercises with topographic optical-mechanical and digital instruments.
Additional notes about suggested reading: Reference books, lecture notes.
Textbooks (and optional supplementary readings)
  • Inghilleri, Giuseppe, Topografia generaleGiuseppe Inghilleri. Torino: UTET, --. Cerca nel catalogo
  • Torge, Wolfgang, GeodesyWolfgang Torge. Berlin: New York, Walter de Gruyter, --. Cerca nel catalogo
  • Leick, Alfred, GPS satellite surveyingAlfred Leick. Hoboken <N.J.>: J. Wiley, --. Cerca nel catalogo
  • Krauss, Karl, Fotogrammetria vol. 1. Torino: Levrotto & Bella, 1998. Cerca nel catalogo