Instruction offered by members of the Department of Geomatics Engineering in the Schulich School of Engineering.
Department Head – A. Habib
Associate Heads – K. O’Keefe, D.J. Marceau
Geomatics Engineering 103
Survey Block Week
Instrument calibration, resection, traverse, levelling, topographic survey and map generation, least squares and error propagation. Course Hours:Q(32) Prerequisite(s):Geomatics Engineering 343 and 361. NOT INCLUDED IN GPA
Review of procedural programming and introduction to object-based programming using high level compiled and interpreted languages. Binary and ASCII File I/O, use of function libraries and class libraries. Construction of simple classes. Inheritance and polymorphism. Programming for Geomatics Engineering applications. Visualization and data representation. Course Hours:H(3-2) Prerequisite(s):Engineering 233.
Differential levelling including precise methods and instruments and the Modified Princeton Test; heights by other methods; angular and gyrotheodolite measurements; distance measurements by taping, optical methods, and EDM; basic principles; basic features of instruments; testing, adjustment and calibration of instruments; measurement procedures; accuracies. Computations: traverse and area, the first and second geodetic problem on the plane, trig sections, station and target eccentricities, coordinate transformations. Route Surveying: route location, horizontal and vertical curves, sight distance, slope staking, earth work computations, mass diagram. Routine procedures: setting out straight lines and right angles, measurement with obstructions. Mapping by tacheometry or total station. Setting out surveys: alignment and grade for roads, sewers and pipelines, bridges, buildings, dams, tunnels. Mining surveys. Introduction to satellite positioning. Course Hours:H(3-3) Prerequisite(s): Biomedical Engineering 319 or Engineering 319 and one of Physics 269 or 369.
Introduction to Geospatial Information Systems and Geographic Information Science, Georelational vector data model, object-based vector data model, raster data model, map projections, geodetic datums, coordinate systems, georeferencing, database design and management, query language, geometric transformations, vector data analysis, raster data analysis, spatial interpolation, terrain modelling and analysis, triangulated irregular network data model, path and network analysis, temporal GIS. Course Hours:H(3-3) Prerequisite(s):Engineering 233.
Familiarization with Geomatics engineering methodology and estimation. Classes and combination of mathematical models. Least squares method: parametric, condition and combined cases. Problem formulation and solution: theory of errors and adjustment of observations, analysis of trend, problems with a priori knowledge of the parameters, step by step methods, sequential solution methods, summation of normals. Introduction to Kalman filtering. Introduction to univariate and multivariate statistical testing applied to Geomatics engineering problems. Course Hours:H(3-3) Prerequisite(s):Geomatics Engineering 333 and one of Biomedical Engineering 319 or Engineering 319. Corequisite(s):Applied Mathematics 309.
A systematic approach to the "Geomatics Network Analysis and Optimal Design," that are two of the most important processes in establishing a Geodetic Network. Network concepts and their implementation. Reference systems and surfaces, datum, and fiducial networks. Observational models for terrestrial and extraterrestrial measurements of type position and gravity. Measures of precision and accuracy of coordinates. Reliability, data snooping, variance component analysis. Implementation aspects for different types of networks. Integration of satellite observations into geodetic and photogrammetric networks. Deformation analysis. New network concepts. WADGPS and the concept of dynamic network. Course Hours:H(3-3) Prerequisite(s):Geomatics Engineering 361. Corequisite(s):Geomatics Engineering 423.
Fundamental concepts, definitions and basic aims of geodesy. Representation of the Earth's surface: physical and mathematical figures of the Earth, geodetic reference systems, frames and coordinates, reference ellipsoids and geodetic datums, maps. Time systems, basic motions of the Earth, dynamic behaviour of the Earth. Basic types of geodetic reference systems, computational procedures and coordinate transformation methods. Celestial coordinate systems and astronomic positioning. Elements of map projections, examples and applications. Course Hours:H(3-3) Prerequisite(s):Geomatics Engineering 343, Computer Engineering 339 or Geomatics Engineering 333 and Applied Mathematics 309. Corequisite(s):Geomatics Engineering 103.
Introduction to geodesy, its principles, tasks and applications. Measurements and methods for geodetic positioning. The gravity field and the geoid in science and engineering. Elements from potential theory, vector calculus, Gauss divergence, Green's theorems, boundary value problems. The normal field. Gravimetry. Gravity reductions, isostasy. Geoid determination, Stokes's formula, combination methods. Vertical positioning and height systems. Fundamentals of Earth's figure and gravity field estimation using perturbations of orbits of satellites and planets. Principle and applications of satellite gravimetry and satellite altimetry. Course Hours:H(3-3) Prerequisite(s):Geomatics Engineering 343, 361, 421, Electrical Engineering 327 and Engineering 349.
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. Stereomodel formation and error analysis. Various mathematical models strip and block adjustments. Project planning. Course Hours:H(3-3) Prerequisite(s):Applied Mathematics 309 and Geomatics Engineering 361.
A survey of modern quantitative remote sensing using optical, infrared and microwave radiation. Topics include: physical principles, including governing equations; imaging system geometries; radiometric corrections, including calibration and atmospheric correction; geometric corrections, including registration and land cover classification algorithms, including accuracy assessment and geospatial data integration. Course Hours:H(3-3) Prerequisite(s):Computer Engineering 339 or Geomatics Engineering 333, Geomatics Engineering 351 and one of Physics 269 or 369.
Design and Implementation of Geospatial Information Systems
Overview of Geographical Information Systems from a computing perspective. Topics include: Fundamental Database Concepts: relational algebra, UML modeling, and SQL; Fundamental Spatial Concepts: Geometry, Euclidean space, topological space, set notations, point set topology, and base graph theory; Models for Geospatial Information: object models and field models; Representations and Algorithms for GIS: computational complexity, discretization algorithms, topological data models and algorithms, TIN model, and computational geometry algorithms for GIS; Spatial Access Methods: B-Tree, Quadtree, and R-Tree; and Architechtures; centralized and decentralized architectures.
Land tenure, cadastral systems, real property law, methods of acquiring rights in land, boundary concepts, cadastral survey computations, land registration systems, entity relationship models of land tenure systems, case law of boundary systems. History of cadastral systems, land administration, fiscal and juridical cadastres, dominion land systems, land registration in Alberta, special types of surveys relating to Canada Lands, structure of professional surveying bodies in Canada. Course Hours:H(3-3) Prerequisite(s):Geomatics Engineering 343, 421 and 451 or 443Â and Communications Studies 363.
Satellite orbit motion and Kepler's laws. Description of GPS signal structure and derivation of observables. Characteristics of instrumentation. Analysis of atmospheric, orbital and other random and non-random effects. Derivation of mathematical models used for absolute and differential static and kinematic positioning. Pre-analysis methods and applications. Concept of Kalman filtering applied to kinematic positioning. Ambiguity resolution procedures. Differential GNSS implementation. Overview of GNSS augmentation and high-sensitivity receivers. Course Hours:H(3-3) Prerequisite(s):Geomatics Engineering 343, 361, and 421. Corequisite(s):Geomatics Engineering 419 and 423.
Principles of project management and applications in geomatics projects. Group project, under the supervision of a faculty member, on an assigned Geomatics Engineering topic. The project will normally involve a literature review, theoretical work, and laboratory or field work. Submission and defence of progress reports and a final report are required. Course Hours:F(1-5) Prerequisite(s):Communications Studies 363. Corequisite(s):Geomatics Engineering 501.
Field exercises include: instrument calibration, cadastral retracement, determination of astronomic azimuth, conventional control survey for deformation analysis, real time kinematic surveying, geodetic control using static GPS, precise levelling and geographic information systems and data management. This course adopts a team based learning approach and emphasis is placed on practical professional experience, planning, and logistic for field survey operations. Each team is required to produce a fieldwork report for each field activity, and each student is responsible for a chapter, detailing one of the exercises, of the primary team report describing all of the work accomplished by the team during the course. The course concludes with a half day seminar that focuses on the practice and profession of Land Surveying. Course Hours:H(152 hours) Prerequisite(s): All third year courses or consent of the Department Head. Notes: A two-week field camp will be held at the Biogeoscience Institute at Barrier Lake prior to the start of the Fall Term lectures.
Analogue and digital imaging systems, frame versus line cameras, stereo-coverage configurations of line cameras, geometric modelling of line cameras (rigorous versus approximate sensor modelling), geo-referencing requirements of frame and line cameras, high-resolution imaging satellites, active imaging systems (LIDAR/RADAR), data integration and fusion. Course Hours:H(2-2) Prerequisite(s):Geomatics Engineering 421, 431, and 435.
Elements of oceanography, tides and water levels. Fundamentals of RF and acoustic propagation. Marine positioning: shore-based and satellite-based radionavigation systems, positioning accuracies. Underwater acoustic positioning. Sounding methods: shipborne single beam and multibeam echo-sounding, sonars, related corrections. Practical examples: data acquisition and processing. Course Hours:H(2-2) Prerequisite(s):Geomatics Engineering 361 and 465.
Special topics in the research, development and applications of geospatial information systems. Internet and Web GIS, Mobile/Wireless GIS and Location Based Services (LBS), 3D GIS, GIS Interoperability, Ontology, Spatial Data Infrastructures, Geo-Sensor Networks and Spatial Sensor Web, Social Networks, and Collaborative GIS. Labs and group projects will focus on 3D GIS/Google Earth Applications. Course Hours:H(2-2) Prerequisite(s): Fourth Year Standing.
An introduction to digital image processing (IP) and computer vision (CV) concepts, methods and algorithms which will enable the students to implement IP/CV systems or use IP/CV software with emphasis on remote-sensing and photogrammetry applications and problem solving. Course components include: digital image acquisition and sampling, image enhancement in the spatial and frequency domain, color image processing, image restoration, image segmentation, image compression and multi-source image/data fusion. Course Hours:H(2-2) Prerequisite(s):Electrical Engineering 327 and Geomatics Engineering 435.
Fundamental of matrix theory, linear systems, probability and statistics. Data classification, analysis and bias identification. Random data acquisition, qualification and analysis. Least squares estimation and data analysis. Random process, stationarity test and kinematic modelling. Kalman filtering and real-time data analysis. Introduction to signal processing and time series analysis. Practical applications of data analysis and processing in geomatics engineering. Course Hours:H(2-2) Prerequisite(s):Geomatics Engineering 361.
Instrument systems and procedures for high-precision surveys: precise levels, high-precision theodolites, electronic distance measurement instruments. High-precision industrial surveys: computation of three-dimensional orientations and rotations by autoreflection and autocollimation; computation of three-dimensional coordinates and coordinate changes by theodolite intersection methods, 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. Course Hours:H(2-3) Prerequisite(s):Geomatics Engineering 343, 361 and 419. Corequisite(s):Geomatics Engineering 501.
Digital Terrain Modelling (DTM, DEM, DHM, DTEM) 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: IFSAR, 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. Course Hours:H(2-2) Prerequisite(s):Engineering 407 and Geomatics Engineering 431.
Review of legislation, standards of practice and case law affecting property interests, property boundaries and boundary surveys. Evidence and Boundary Survey Principles, Riparian rights, Title to land, Canada lands, Aboriginal rights, inter-jurisdictional boundaries. Reforms in the Surveying Profession. Field exercises may take place off campus over weekends. Course Hours:H(2-3) Prerequisite(s):Geomatics Engineering 455 and 443. Corequisite(s):Geomatics Engineering 501.
Theoretical and historical bases of planning. Urban reform and development of planning in Canada. Sustainable development. Subdivision planning process. Provincial and municipal planning approval requirements. Public participation. Site assessments. Field exercises may take place off campus over weekends. Course Hours:H(2-2) Prerequisite(s):Geomatics Engineering 455. Corequisite(s):Geomatics Engineering 579.
Nature and purpose of environmental modelling; the top-down and the bottom-up approaches; typology of environmental models; definition of fundamental concepts; steps involved in designing and building a model; calibration, verification and validation of models; scale dependency; sensitivity analysis; characteristics, architecture and functioning of selected environmental models. Course Hours:H(2-2) Prerequisite(s):Fourth year standing. Also known as:(Environmental Engineering 635)
Fundamentals of radio-frequency propagation, principles of radio-frequency positioning, observations and their associated error sources. Introduction to self-contained inertial sensors including odometers, gyros, accelerometers, and augmentation of RF methods with self-contained sensors and other data sources. Current systems: Assisted GPS, cellular telephone location techniques, pseudolites, location with wireless computer networks, ultra-wideband. Applications: outdoor and indoor personal location, asset tracking. Course Hours:H(2-2) Prerequisite(s):Electrical Engineering 327 and Geomatics Engineering 465.
Following are the graduate courses normally offered in the Department. Additional courses are also offered by visiting international lecturers. Please refer to the Department web site () for current course listings.
Geomatics Engineering 601
Graduate Project
Individual project in the student's area of specialization under the guidance of the student's supervisor. A written proposal, one or more written progress reports, and a final written report are required. An oral presentation is required upon completion of the course. Course Hours:H(0-4) Notes: Open only to students in the course-only route MEng.
Seminar presentation of studies related to the student's research. Course Hours:Q(0-1S) Notes: Compulsory for all MSc graduate students. NOT INCLUDED IN GPA
Seminar presentation of studies related to the student's research. Should not normally be taken in the same term as Geomatics Engineering 609. Course Hours:Q(0-1S) Notes: Compulsory for all PhD graduate students. NOT INCLUDED IN GPA
Seminar presentation of studies related to the student's research. Should not normally be taken in the same term as Geomatics Engineering 607. Course Hours:Q(0-1S) Notes: Compulsory for all PhD graduate students. NOT INCLUDED IN GPA
Potential theory and geodetic boundary value problems (GBVPs). Solution approaches to the Molodensky problem. Least-squares collocation (LSC). Hilbert spaces with kernel functions. Variational principles, improperly posed problems and regularization. The altimetry-gravimetry and overdetermined GBVPs. Solution of GBVPs by integral techniques, fast Fourier transforms and LSC. Use of heterogeneous data sets and noise propagation. Applications to gravity prediction, geoid determination, deflection estimation, satellite altimetry and airborne gravimetry and gradiometry. Current research activities. Course Hours:H(3-0) Antirequisite(s):Not open to students with credit in Geomatics Engineering 611 or 617.
Overview of estimation fundamentals including stochastic processes, covariance matrices, auto-correlation functions, power spectral densities, and error propagation. Review of least-squares estimation, summation of normals and sequential least-squares formulations, and role of measurement geometry in least-squares position estimation. Constraints and implementations. Concept of Kalman filtering; relationship between Kalman filtering and least-squares; linear, linearized and extended Kalman filter formulations; system model formulation; process noise model determination; measurement models, and effect of time-correlated measurements and possible remedies. Numerical stability issues in estimation and possible solutions. Statistical reliability in least-squares and Kalman filtering and related RAIM concepts. Introduction to other estimation techniques including unscented Kalman filters and particle filters. Application of above topics to relevant navigation estimation problems. Course Hours:H (2-2)
Inertial sensors and their application in inertial navigation, existing inertial systems, new developments in strapdown technology. Practical aspects of inertial positioning definition of an operational inertial frame, inertial error models. Effect of inertial sensor errors on the derived navigation parameters, performance characteristics of inertial sensors, calibration of inertial sensors. Mechanization equations in different coordinate frames, step by step computation of the navigation parameters from the inertial sensor data introduction to Kalman filtering for optimal error estimation, modelling INS errors by linear state equations, practical issues for the implementation of update measurements (ZUPT, CUPT, Integrated systems), current research activities. Course Hours:H(3-0)
Overview of space positioning and navigation systems; concepts and general description. Global Navigation Satellite System signal description. Receiver and antenna characteristics and capabilities; signal measurements indoor; GNSS error sources and biases; atmospheric delays, signal reflection and countermeasures. Mathematical models for static point and relative positioning. Kinematic single point and differential post mission and real time positioning, navigation and location. Augmentation methods. Land, marine, airborne and indoor applications. Case studies. Course Hours:H(3-2)
Concepts of optimal estimation and different optimization criteria. Least squares estimation and different adjustment models. Fundamental of random process and kinematic modelling. Development of the Kalman filter equations. Implementation aspects of Kalman filtering. Concept of signal and least squares collocation. Robust estimation and analysis. Error analysis and advanced statistical testing. Applications to geomatics engineering problems. Course Hours:H(3-0)
Atmospheric Effects on Satellite Navigation Systems
Theoretical and observed aspects of radio wave propagation in the ionosphere and troposphere, with an emphasis on L-band (GPS) signals. Fundamentals of absorption, attenuation, depolarization, and defraction will be covered, in addition to characteristics and physical properties of the propagation medium and atmospheric constituents. The impact of such effects, and methods of mitigation, will be interpreted with respect to satellite navigation applications. Course Hours:H(3-0)
An introduction to environmental earth observation systems in particular to satellite platforms. Technique for fusing multi-dimensional datasets (i.e., multi-spectral, multi-temporal, multi-resolution, and point-source ground data). A number of environmental issues will be discussed, including carbon sequestration, advanced techniques for estimating biophysical variables that are integral parts of various environmental models; vegetation phenology; and understanding of climatic influence on forested and polar ecosystems, etc.
Global Navigation Satellite System signal structure, overview of receiver architecture, measurements, antenna design, receiver front-end, reference oscillator, sampling and quantization, phase lock loops, frequency lock loops and delay lock loops, tracking loop design and errors, signal acquisition and detection, interference effects. Course Hours:H(2.5-1)
Optical imaging methods for precise close-range measurement. Photogrammetric techniques with emphasis on the bundle adjustment. Photogrammetric datum definition, network design and quality measures. Principles of laser rangefinding and laser scanning. Imaging distortions, sensor modelling and system self-calibration for a variety of imaging sensors including digital cameras, panoramic cameras, 3D laser scanners and 3D range cameras. Automated point cloud processing methods; registration, modelling and segmentation. Selected case studies. Course Hours:H (3-0)
Review of basic digital imaging; advanced topics in multispectral or hyperspectral analysis, multiresolution analysis, image segmentation, image transform, data fusion, pattern recognition or feature matching; current research applications especially in Geomatics. Course Hours:H(3-0)
Comprehensive overview of spatial database management systems and issues related to spatial data mining. The topics that will be covered include: overview of spatial databases, spatial concepts and data models, spatial query languages, spatial storage and indexing, spatial networks, spatial data mining, and trends in spatial databases. Course Hours:H(3-0)
Advanced techniques for analysis and interpretation of remotely sensed imagery, with emphasis on data acquired from satellite and airborne platforms. Topics include: review of physical principles, including governing equations; imaging system geometries; radiometric corrections, including calibration and atmospheric correction; spatial filtering for noise removal and information extraction; geometric corrections, including rectification and registration; geophysical algorithms such as leaf area index and biomass and land cover classification algorithms. Course Hours:H(3-0)
Overview of the fundamental concepts, approaches, techniques, and applications in the field of Geocomputation. Topics being discussed include Geocomputation, Computational intelligence, Complex Systems theory, Cellular automata modelling, Multi-agent system modelling, Calibration and validation of dynamic models, Scale, Artificial neural network, Data mining and knowledge discovery, Geovisualization, and Post-normal science. Individual projects involving the application of Geocomputational techniques and models are conducted.
Overview of aerial triangulation procedures (strip triangulation, block adjustment of independent models, bundle block adjustment, automatic aerial triangulation, direct versus indirect orientation). Mapping from space (modelling the perspective geometry of line cameras, epipolar geometry for line cameras). Multi-sensor aerial triangulation (integrating aerial and satellite imagery with navigation data). Photogrammetric products (Digital Elevation Models, ortho-photos). The role of features in photogrammetric operations (utilizing road network captured by terrestrial navigation systems in various orientation procedures). Course Hours:H(3-0)
Spatial phenomena and spatial processes. Spatial data analysis and the importance of spatial data in scientific research. Methods will range from exploratory spatial data analysis through to recent developments such as nonparametric semivariogram modeling, generalized linear mixed models, estimation and modeling of nonstationary covariances, and spatio-temporal processes. Course Hours:H(3-0)
Elasticity, figure of the Earth, Earth structure and seismology, gravity and its temporal variations, isostasy, tides, Earth rotation and orientation, time, plate flexure, glacial rebound, continental drift, geodetic observation methods for geodynamics. Course Hours:H(3-0) Also known as:(Geophysics 681)
Focus on advanced studies in specialized topics. Students may also conduct individual studies under the direction of a faculty member. Course Hours:H(3-0) MAY BE REPEATED FOR CREDIT
COURSES OF INSTRUCTION