Risorse bibliografiche
 Risorsa bibliografica obbligatoria Risorsa bibliografica facoltativa
 Scheda Riassuntiva
 Anno Accademico 2022/2023 Scuola Scuola di Ingegneria Civile, Ambientale e Territoriale Insegnamento 058026 - GEOFUNDAMENTALS [I.C.] 058025 - GEOFUNDAMENTALS A: GEOMATIC DATA EXPLOITATION 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
Ing - Civ (Mag.)(ord. 270) - MI (495) GEOINFORMATICS ENGINEERING - INGEGNERIA GEOINFORMATICA*AZZZZ058026 - GEOFUNDAMENTALS [I.C.]
058027 - GEOFUNDAMENTALS A: GEOMATIC DATA EXPLOITATION
056625 - GEOMATICS FOR GEOINFORMATICS

 Obiettivi dell'insegnamento
 This module aims at providing fundamental notions of geomatics, in the following macro-topics: statistics, reference frames, surveying. 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. 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 geomatics (terrestrial surveying) observations.

 Argomenti trattati
 Statistics. Probability. Distribution and density in one dimension, then in n dimensions. Uniform distribution and properties. Normal distribution: variance and standard deviation, n-dimensional case and covariance matrix. General mean and covariance propagation. Density propagation for specific distributions. Observables and observations, random errors and biases. Least squares principles and solution for linear and not linear problems. Hypothesis testing: Chi square test, test on individual observations, Leave one Out. 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. Classwork. Transformations between coordinate and heights systems. Mean computation, variance computation: 1D, n-D; covariance propagation. LS application to surveying problems.

 Prerequisiti
 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.

 Bibliografia
 Slides of the professor https://beep.metid.polimi.it/Note:On Beep page of the course W. Schofield, Engineering Surveying, 5th edition, Editore: Elsevier, Anno edizione: 2001, ISBN: 0750649879 T. 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
(hh:mm)
Ore di studio autonome
(hh:mm)
Lezione
30:00
45:00
Esercitazione
20:00
30:00
Laboratorio Informatico
0:00
0:00
Laboratorio Sperimentale
0:00
0:00
Laboratorio Di Progetto
0:00
0:00
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
 schedaincarico v. 1.8.3 / 1.8.3 Area Servizi ICT 04/03/2024