CE59700 - Coordinate Systems and Conformal Mapping

Fall 2017

Days/Time: TBD / TBD
Credit Hours: 3

Learning Objective:
After the course the student will be able to solve most 1D/2D/3D survey problems based on rigorous 1D-, 2D- and 3D-modeling, perform coordinate transformations, assess mapping characteristics based on principles of differential geometry, develop mapping dedicated to any engineering project, generate novel engineering solutions to newly presented survey problems, evaluate 1D-, 2D-, and 3D-models, the coordinate frames used for these and their interrelationships, model the physical reality underlying most geometry-based models, in earth-fixed as well in inertial space.

The course will cover topics necessary for the modern "3D geomatics engineer/surveyor": it will give an overview of coordinate frames used in geodesy, surveying and mapping. What are the relationships between the various (3D) coordinate frames? How are the results of 1D/2D/3D surveys being mapped to a 2D, not necessarily flat, surface. Mapping models (mapping equations) and their characteristics will be discussed, based on the fundamentals of differential geometry and curvilinear coordinates.

Topics Covered:
(Differential) Geometry and Multivariate Calculus: Cartesian, Spherical and Ellipsoidal coordinates and transformations between them; Radius of curvature; Jacobian and Metric Matrices [ Cartan matrices]. Geometric Geodesy: Earth-fixed frames. Geocentric, topocentric and local frames; Radius of curvature in the meridian and the prime vertical [Differential coordinate transformations. Commutative diagram]; Reference sphere; Shortest distance over the sphere/ellipsoid; Reference ellipsoid; Reductions to the ellipsoid. Map projections: Basics of mapping; Conformal mapping; Mercator, Lambert, Stereographic; State Plane Coordinate Systems. Intro to Physical Geodesy: Shape of the Earth; Earth rotation; Inertial frames; Precession, Nutation, Polar Motion, Length of Day; Time Systems; Gravity and Gravitation; Potential Energy; Equipotential surfaces; Geoid; Height differences and the flow of water; Orthometric Heights. Geodetic Reference Datums/Frames/Systems: NAD27, NGVD29, IGSN71, WGS72, GRS80, NAD83, WGS84, NAVD88, IERS Standards 1992 and HARNs, GEOID90, GEOID93, GEOID96, GEOID99, GEOID2003.

Graduate standing or consent of instructor.

Web Address:

Homework assignments, quizzes and lab work. Lab assignments, such as mapping by computer, will be performed through the (heavy!) use of MATLAB.

See reference to lab assignments under "Homework".

Midterm and comprehensive final exam.

Leick, A., 2004. "GPS Satellite Surveying" John Wiley & Sons, Inc., Third Edition, ISBN-10: 0-471-05930-7 / ISBN-13: 978-0-471-05930-1

Computer Requirements:
ProEd Minimum Computer Requirements. Matlab (registered students have access to Matlab through the ITAP/Software Remote website: (https://goremote.ics.purdue.edu/).

ProEd Minimum Requirements: view

Tuition & Fees: view


T. B. D.
West Lafayette, IN 47907

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