Application deadline

Type of course

Admission requirements

A relevant undergraduate bachelor Engineering programme with minimum 30 credits mathematic/statistics topics

Application Code: 9371

Recommended prerequisite knowledge:

• SMN6191 Numerical Methods 
• SMN6190 Linear Algebra 2
• SMN6192 Discrete Mathematics
• STE6245 Advanced Game and Simulator Programming
• STE6249-001 Virtual reality, graphics and animation - theory
• STE6249-002 Virtual Reality/Graphics/Animation - Project
• STE6238 Geometric modeling 1

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 parameterisation
• Evaluators and algorithms for Bezier and B-spline
• B-functions, B-splines and blending
• Expo-rational B-splines (blending splines)
• Tesselation
• Advanced morphing
• Dynamic change of shape
• Interactive editing ogf curves and sufaces

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

Objectives of the course

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

Knowledge:

• 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).

Skills:

• 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 and examination

Teaching methods

Assessment

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.

Recommended reading/syllabus

Given by the lecturer when the course starts

Additional literature

Basic properties of Expo-Rational B-splines and practical use in Computer Aided Geometric Design,  Lakså

Computational geometry, deBerg, vanCreveld, Overmars, Schwarzkopf.

More articles and books to be given when the course starts.