Second cycle degree in MATHEMATICAL ENGINEERING - INGEGNERIA MATEMATICA (Ord. 2015) (discontinued)

Campus: PADOVA

Language: English

Teaching period: Second Semester


Number of ECTS credits allocated: 9

Prerequisites: Extensive knowledge of mathematical analysis, physics and statistics.
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.