Risorse bibliografiche
Risorsa bibliografica obbligatoria
Risorsa bibliografica facoltativa
Scheda Riassuntiva
Anno Accademico 2020/2021
Scuola Scuola di Ingegneria Civile, Ambientale e Territoriale
Insegnamento 099339 - GEO FUNDAMENTALS [I.C.]
  • 099338 - GEO FUNDAMENTALS [2]
Docente Biagi Ludovico Giorgio Aldo
Cfu 5.00 Tipo insegnamento Modulo Di Corso Strutturato

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento

Obiettivi dell'insegnamento

This module aims at providing fundamental notions of geomatics, in the following macro-topics: statistics, reference frames, surveying and cartography. Moreover, numerical problems are solved in the classworks: the case studies are simplified but represent typical and realistic case studies.

Risultati di apprendimento attesi

D1. Knowledge and understanding. The students will gain a preliminary knowledge and understanding of
- Statistics of the observations; Least squares tool to analyze and adjust (geomatic) observations.
- The Earth shape and gravity field; reference frames and coordinates to compute positions.
- Terrestrial surveying techniques, surveying schemes and adjustment methods.

- The cartographice representation of the Earth.

D2. Applying knowledge and understanding. The students will be able to solve simple problems relevant to
- statistical and least squares analysis and adjustment of observations;
- transformation between reference frames and coordinates systems;
- analysis and adjustment of observations from terrestrial surveying;
- transformation from the Earth surface to a projection map.

Argomenti trattati

Statistics. Observables and observations, random errors, normal distribution, variance and standard deviation, n-dimensional case and covariance matrix, mean and covariance propagation. Least squares principles and solution for linear and not linear problems. Chi square test.

Reference Frames. Earth structure and shape: geoid, ellipsoid, geoid ondulation and deflection, cartesian and geodetic coordinates. Spherical and local planar approximations.

Surveying. Instruments: bubble, theodolite, EDM, level, instrumental errors. Horizontal networks: observation equations, surveying schemes and adjustment. Trigonometric and gemetric levelling: vertical networks, observation equations, surveying and adjustment.

Cartography. History of mapping. The mapping process. Reference and projection surfaces. Perspective and analytical projections. Linear and surface scale factors. Conformal and equivalent maps. The UTM projection. Digital Terrain Models

Classwork. Transformations between coordinate and heights systems. Mean computation, variance computation: 1D, n-D; covariance propagation. Direct intersection, levelling: propagation and closure analysis. Stereo/polar coordinates computation



Mathematical formalism is used through the course, therefore having completed a basic Calculus course is highly recommended. Numerical problems will be proposed in classworks: capability to work in a computing environment is recommended.

Modalità di valutazione

Examination is performed at the end of the course through an oral examination. A 0-32 scale is used to grade each test. The exam is considered as passed with a grade ≥18/32. The grade obtained in the Geo Fundamentals [2] module contributes by 50% towards the final grade of the integrated course Geo Fundamental.

In the oral examination, first questions are on very fundamental points of the program. By the following questions, the capability of the student to face more complex and in-depth parts are examined. During the exam, the questions move through all the macro-topics: statistic, reference frames, surveying and cartography. At the end, the student is asked to analitycally describe a specific problem that has been posed and solved during classworks.

Risorsa bibliografica obbligatoriaSlides of the professor https://beep.metid.polimi.it/

On Beep page of the course

Risorsa bibliografica facoltativaW. Schofield, Engineering Surveying, 5th edition, Editore: Elsevier, Anno edizione: 2001, ISBN: 0750649879
Risorsa bibliografica facoltativaT. J. Blachut, A. Chrzanowski, J. H. Saastamoinen, Urban surveying and Mapping, Editore: Springer Verlag, Anno edizione: 1979, ISBN: 0378903445

Software utilizzato
Nessun software richiesto

Forme didattiche
Tipo Forma Didattica Ore di attività svolte in aula
Ore di studio autonome
Laboratorio Informatico
Laboratorio Sperimentale
Laboratorio Di Progetto
Totale 50:00 75:00

Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua Inglese
Disponibilità di materiale didattico/slides in lingua inglese
Disponibilità di libri di testo/bibliografia in lingua inglese
Possibilità di sostenere l'esame in lingua inglese
Disponibilità di supporto didattico in lingua inglese

Note Docente
schedaincarico v. 1.6.9 / 1.6.9
Area Servizi ICT