Algorithms in Geometric Modeling

Doctorate level

Theoretical. (Åpen for UiT sine ph.d.-studenter (kategori 1) og åpen for følgende kategorier av enkeltemnestudenter:

- kategori 2: Deltakarar på UiT sitt førstelektorprogram som fyller utdanningskravet.

- kategori 3: Doktorgradsstudentar frå andre universitet.

- kategori 4: Personar med minimum mastergrad eller tilsvarande som ikkje er doktorgradsstudentar.)

Application code: 9301

Last dates for course registration and registration for examination are September 1 for the fall semester, and February 1 for the spring semester.

PhD students or holders of a Norwegian master´s degree of five years or 3+ 2 years (or equivalent) may be admitted (categories 3 and 4 above). PhD students must upload a document from their university stating that they are registered PhD students. This group of applicants does not have to prove English proficiency and are exempt from semester fee.

Holders of a Master´s degree must upload a Master´s Diploma with Diploma Supplement / English translation of the diploma. Applicants from listed countries must document proficiency in English. To find out if this applies to you see the following list: Proficiency in English must be documented - list of countries.

For more information on accepted English proficiency tests and scores, as well as exemptions from the English proficiency tests, please see the following document: Proficiency in English - PhD level studies.

The course will be cancelled if less than five participants.

The students will be introduced to modern techniques in the elements of geometric modeling with emphasis on practical methods and mathematical theory. The course will concentrate of the areas; computer aided geometric design (CAGD) and computational geometry. In addition, the PhD student will, through a practical project, develop skills in applying the methods and the theory.

The course has a practical part, and students are supposed to develop, use and test algorithms in the areas; Computer Aided Geometric Design (CAGD) and Computational Geometry, in engineering applications.

The course start with a theoretical framework; Affine, projective and Grassman spaces, homogenous coordinates, parametric curves and surfaces, basis functions and differentiation. It continuous with surfaces of revolution, surface by sweeping, boolean sum surfaces, algorithms for Bezier-methods and blending methods, General Expo-Rational B-Splines - ERBS / BFBS, introduction to barycentric coordinates and triangular surfaces.

General admission requirements for PhD.-program at UiT.

Offered irregularly. The course will be cancelled if less than five participants.

Knowledge:

After passing the course, the student is expected to be able to

• Demonstrate understanding of the forefront of knowledge within theory of algorithms in geometric modeling.
• Evaluate the suitability and application of methods for geometric modeling in research and scholarly development projects.
• Contribute to the development of new knowledge, new theories, methods, interpretations and forms of documentation in research fields where geometric modeling are of importance.

Skills:

After passing the course, the student is expected to be able to

• Implement and use geometric modeling.
• Formulate problems; carry out research and scholarly development work connected to geometric modeling at a high international standard.

Habits of mind:

After passing the course, the student is expected to be able to

• Show a general understanding of geometric modeling, and is able to read literature that is in the research front of the field.

Anbefalte forkunnskaper

DTE-3604 Applied Geometry and Special Effects, END-3607 Geometric Modelling, MAT-3800 Linear Algebra II, MAT-3801 Numerical Methods

Language of instruction and examination

Schedule

More info about the coursework requirements

More info about the oral exam

Re-sit examination