autumn 2020
DTE-3604 Applied Geometry and Special Effects - 5 ECTS

Last changed 31.12.2020

Application deadline

Applicants from Nordic countries: 1 June. Exchange students and Fulbright students: 15 April

Type of course

The course may be taken as a single subject.

Admission requirements


- A relevant undergraduate bachelor Engineering program with minimum of 30 credits in Mathematics/Statistics topics.

Application Code: 9371

Required prerequisite knowledge: This course is an extension of STE6238 Geometric modeling


- Master-level course in Numerical Methods

- Master-level course in Linear Algebra 2

- Master-level course in Graph Theory

- Master-level course in programming in C++

- Master-level course in Computer graphics

- Master-level course in Geometric Modelling

Course overlap

STE6247 Applied Geometry and Special Effects 5 stp

Course content

This course is a project-based subject. There will be lectures spred out over the entire teacher-led two-week period. Most of the time shall still be used for the project. (Total workload for the course is estimated at 135 hours).

  • Representation of geometry and parameterization
  • Evaluators and algorithms for Bezier and B-spline
  • B-functions, B-splines and blending
  • Expo-rational B-splines (blending splines)
  • Tessellation
  • Advanced morphing
  • Dynamic change of shape
  • Interactive editing of curves and surfaces

Project work

  • The project must result in a report and a computer program including source code and executable program.
  • A version control system must be used (git)

Recommended prerequisites

DTE-3603 Introduction to Technical Programming, DTE-3605 Virtual Reality, Graphics and Animation - Project, DTE-3607 Advanced Game and Simulator Programming, DTE-3609 Virtual Reality, Graphics and Animation - theory, END-3607 Geometric Modelling, MAT-3800 Linear Algebra II, MAT-3801 Numerical Methods, MAT-3802 Discrete Mathematics with Game- and Graph Theory

Objectives of the course

On completion of the course, the successful student is expected to have the following:


  • Special knowledge in the field of combination of geometric modelling and programming (K3).
  • Have knowledge about splines, blending theory, tessellations and implementation of these (K2 and K3).


  • The candidate will work independently with problems, by analyzing the problem and make plans for solving them (S1)
  • The candidate will be able independently to make big and/or complex computer programs running on different platforms (S2)
  • The candidate can find, analyse and deal critically with various sources of information and use them in development and in argumentation (S4)
  • The candidate will be able to write a longer continuous report and present research clearly in written work and in general communicate knowledge orally and in writing (S5)

General Competence:

  • Understand that geometry is fundamental in computer games, simulators, computation and heavy computer systems in general.
  • The candidate is influenced to maintain and develop curiosity and values such as openness, precision and the importance of separating between knowledge and opinions. (GC1)
  • The candidate can contribute to new thinking and innovation processes in cooperation with experts from other fields. (GC3).

Language of instruction


Teaching methods

The course is project based with three concentrated weeks of work. Lessons will be given spread out during the two weeks directed by the teacher. Most of the time will still be used to work on the mandatory project.


Course work requirement:

The student must submit a report, as well as source code and an executable computer program no later than 3 days before the examination. Exact date and time will be provided, as well as how delivery will take place (usually with git).

Examination and assessment:

Form of assessment: Oral

Grouping: Individual

Grading scale is from A (highest) to F (lowest), with E as the minimum pass grade.

Re-sit exam for this course will be possible in early March in conjunction with other oral exams.

  • About the course
  • Campus: Narvik |
  • ECTS: 5
  • Course code: DTE-3604
  • Undersider