First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
MATHEMATICAL ENGINEERING
Course unit
GEOMATICS
INP5070441, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2016/17

Information on the course unit
Degree course Second cycle degree in
MATHEMATICAL ENGINEERING - INGEGNERIA MATEMATICA (Ord. 2015)
IN2191, Degree course structure A.Y. 2015/16, A.Y. 2017/18
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Degree course track MATHEMATICAL MODELLING FOR ENGINEERING AND SCIENCE [001PD]
Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination GEOMATICS
Department of reference Department of Civil, Environmental and Architectural Engineering
Mandatory attendance No
Language of instruction English
Branch PADOVA
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

Lecturers
Teacher in charge MASSIMO FABRIS ICAR/06

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Educational activities in elective or integrative disciplines ICAR/06 Topography and Cartography 9.0

Mode of delivery (when and how)
Period Second semester
Year 2nd Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Lecture 9.0 72 153.0 No turn

Calendar
Start of activities 26/02/2018
End of activities 01/06/2018

Examination board
Board From To Members of the board
1 2016 01/10/2016 15/03/2018 FABRIS MASSIMO (Presidente)
ACHILLI VLADIMIRO (Membro Effettivo)
MENIN ANDREA (Supplente)

Syllabus
Prerequisites: Extensive knowledge of mathematical analysis, physics and statistics.
Target skills and knowledge: The goal of the Course is to provide at students the theoretical, practical and mathematical tools necessary to perform and manage data from surveys finalized to the execution, knowledge, recovery, restoration and monitoring both for territory and infrastructure, 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, the mathematical solutions adopted studying also the achieved accuracies. Moreover, are presented and used the main topographic instruments that are employed in the context of different methodologies, hinting to the mathematical procedures for data processing and the final precisions.
Course unit contents: Introduction in geomatics: overview on principles of Geodesy, Topography and Cartography; instruments for topographic surveying, GPS positioning, processing of data acquired.
Principles of photogrammetry and Lidar.
The role of photogrammetry in mapping applications (image acquisition and image measurement). Mathematical relationships between image and object space. Direct and inverse problems of projective and similarity coordinate transformations. Conditions of collinearity and coplanarity. Orientation procedures (Interior, Exterior, Relative and Absolute). Measurement and correction of image coordinates. Stereo-model formation and error analysis. Various mathematical models strip and block adjustments. Project planning. Principles of Lidar: TLS and ALS. Time Of Flight versus based on phase measuring systems. Characteristics of instruments.
Digital Terrain Modelling.
Digital Terrain Modelling (DTM, DEM, DSM, DTMM) concepts and their implementation and applications in geomatics engineering and other disciplines. Emphasis will be on mathematical techniques used in the acquisition (e.g. photogrammetric data capture, digitized cartographic data sources capturing, other methods: InSAR, and laser altimeters) processing, storage, manipulation, and applications of DTM. Models of DTM (Grids, Contours, and TINS). Surface representation from point data using moving averages, linear projection, and Kriging techniques. Grid resampling methods and search algorithms used in gridding and interpolation. DTM derivatives (slope maps, aspect maps, viewsheds, and watershed). Applications of DTM in volume computation, orthophotos and drainage networks.
High-precisions surveys.
Instrument systems and procedures for high-precision surveys: precise levels, high-precision total stations. High-precision industrial surveys: computation of three-dimensional orientations and rotations by autoreflection and autocollimation; computation of three-dimensional coordinates and coordinate changes by total station methods, scale bar on target methods, digital camera methods, laser scanner methods; systematic errors and their control; geometric form fitting. Case studies in high precision surveys.
Textbooks (and optional supplementary readings)