AH2921 Adjustment Theory, 6c

Autumn Semester 2011, period 1

Last updated by Huaan Fan on 2011-06-09.

Geospatial information is often derived from different types of direct measurements, such as geodetic or photogrammetric measurements. All measurements contain errors which in turn affect the derived quantities (e.g. coordinates). Adjustment
theory concerns application of the least squares principle to:

  1. eliminate misclosures caused by measurement errors;
  2. derive optimal estimates from available, error-contaminated measurements and
  3. evaluate the quality of measurements and derived quantities in terms of precision, accuracy and reliability.

The course consists of 10 lectures and 8 computational exercises. The first exercise is a review of programming skills using MATLAB. Course participants are advised to get familiar with at least one programming language (e.g. C++, Java, Matlab, Pascal or Fortran) before taking this course.

A complete description of the course's aim, contents, requirements, etc, can be found at KTH:s online Study handbook.

1.  List of Teachers

  Huaan Fan course co-ordinator, responsible for all lectures
  Amin Alizadeh teaching assistant, responsible for all exercises

2.  Course Literature

Required literature:

Fan, H. (2010). Theory of Errors and Least Squares Adjustment. KTH
Fan, H. (2011). Exercise problems. KTH.
Introduction to MATLAB. KTH

The above literature can be bought from Caisa Naeselius (08-790 7980), Surveying Building (L-Huset), 1st floor.
Other optional literature:

Bjerhammar, A. (1973). Theory of Errors and Generalized Matrix Inverses. Elsevier.

3.  Requirements

To pass the course, students must pass one written examination (TEN1: 3c) and complete all  exercises  (LAB1: 3c).


4.  Time Schedule
( L = lecture,  = exercise, TEN = Written examination)

(Red texts indicate changes to the original schedule)

L E Day Date Time Room Topics Chapters
L1   Mon 110829 10-12 L43 Introduction. Data quality. Errors and weights. 1.1
  E1 Mon 110829 13-17 Geo-Lab Programming using MATLAB  
  E1 Wed 110831 13-17 Geo-Lab Programming using MATLAB  
L2   Wed 110831 10-12 L41 Error propagation 1.2
  E2 Thur 110901 08-12 Geo-Lab Error propagation 1.2
L3   Mon 110905 13-15 L41 Error ellipse and error ellipsoid 1.3
  E3 Thur 110908 13-17 Geo-Lab Error ellipse and error ellipsoid 1.3
L4   Wed 110907 10-12 L42 Statistical distributions and 
confidence iuntervals
L5   Thur 110908 10-12 Q11 Variance analysis. Linear regression. 1.4
  E4 Thur 110915 08-12 Geo-Lab Statistical analysis 1.4
L6   Wed 110921 10-12 L41 Least squares principle. 
Condition adjustment
1.5, 2.1
  E5 Wed 110921 13-17 Geo-Lab Linear condition adjustment 2.1
L7   Thur 110922 10-12 M21 Condition equations 2.2
  E6 Mon 110926 08-12 Geo-Lab Condition adjustment using non-linear conditions 2.2
L8   Mon 110926 13-15 L41 Adjustment by elements in linear models 3.1, 3.2
  E7 Wed 110928 13-17 Geo-Lab Adjustment by elements in linear models 3.1
L9   Wed 110928 10-12 L42 Observation equations of geodetic measurements 3.2
  E8 Wed 111005 13-17 Geo-Lab Adjustment by elements 
in non-linear models
L10   Thur 110929 10-12 L42 Summary of the course. 
Review of an old exam.
TEN1   Mon 111018 09-13 V01 Written examination 1-3



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