Overview
Lecturer
Ioan Lucian Popa
Seminar tutor
Ioan Lucian Popa
Type of course
Compulsory
Language of instruction
English
Erasmus language
English
Domain
Geodetic engineering - Masters
Field of study
Cadastral information systems and real estate management
Form of education
Full-time
Form of instruction
Class / Seminary
Credit awarded by
Grade
Teaching methods
Lecture, discussion, exemplification.
Aims
After going through the course, students will acquire skills in using different interpolation methods using MATLAB software in achieving specific problems of geodesy.
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Course contents
1. Least squares functions approximation
2. Least squares failure
3. Polynomials and matching data in MATLAB
4. Polynomial interpolation
5. Lagrange, Hermite interpolation
6. Calculation of polynomial interpolation efficient
7. Aitken type methods
8. Spline interpolation. Linear spline, Cubic spline interpolation.
9. uniform approximation, Bernstein polynomials
10. Applications in MATLAB: 1D interpolation, interpolation by least squares, interpolation Hermite. Using functions: interp1, splines, pchip
11. Applications in MATLAB: 2D and 3D interpolation. Using functions: interp2, interp3
12. Applications in MATLAB: 2D and 3D interpolation. Using functions: interpn, ndgrid
13. Applications in MATLAB: 2D and 3D interpolation. Using functions: meshgrid, griddata
Learning outcomes
In order to obtain credits for this discipline the students have to:
- Know the basics on the approximation by least squares, linear interpolation;
- Can determine the interpolation error expression;
- Can achieve concrete interpolation problem 1D, 2D and 3D using MATLAB
- Form their skills to plot different surfaces processed using MATLAB specific functions, such as: interp2, interp3, interpn
Assessment
Final evaluation – 50%; continuous assessment – 50%.
Recommended reading
Numerical Methods for Least Square Problem
A. Bjork
SIAM, -, 196 · -
Applied Numerical Methods With MATLAB: for Engineers & Scientists, 3rd Edition
Steven Chapra
McGraw-Hill Science, -, 2011 · -
Introduction to MATLAB for Engineers
William Palm III
McGraw-Hill Science, -, 2010 · -