spring 2019 TEK-8503 Advanced Geometric Modelling - 5 ECTS

Application deadline

1 June for the autumn semester and 1 December for the spring semester. Exchange students and Fulbright students: 1 October for the spring semester and 15 April for the autumn semester.

Type of course

The subject can be taken as a singular course.

  • The PhD course is primarily open to UiT's PhD students (Category 1).

One or more of these categories of course students may also

be admitted:

  • Category 2: Participants in the Associate Professor programme that fulfil the educational requirements.
  • Category 3: Doctoral students from other universities.
  • Category 4: People with a minimum of a master's degree (or equivalent), who have not been admitted to a doctoral programme.

Admission requirements

General admission requirements for the PhD-program

Course content

The objective of the course is to give candidates an understanding of new theories in curve and surface modeling and description, iterative methods, use of blending in geometric descriptions, triangle based geometry. The students will get a thorough view on modern techniques in geometric modelling, emphasizing practical methods and the mathematical theory.
Barycentric coordinates, curves on surfaces, sub division and blending methods for curves and surfaces, geometric continuity, curve and surface fitting, triangle based geometry and introduction to isogeometric analysis. The course will focus on application for engineering computations, where shaping and computations (finite element method) are integrated.

Objectives of the course

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

  • Demonstrate understanding of the forefront of knowledge within theory of curves and surfaces and geometric modelling.
  • Evaluate the expediency and application of methods for modelling curves and surfaces 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 modelling curves and surfaces is of importance.

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

  • Implement and use curves and surfaces in modelling.
  • Make computer programs including geometry.
  • Formulate problems, plan and carry out research and scholarly development work connected to modeling curves and surfaces.
  • Carry out research and scholarly research work connected to geometric modelling, curves and surfaces, of a high international standard.
  • Handle complex academic issues and challenge established knowledge and practice in the field of computer aided geometric design.

Habits of mind:
After passing the course, the student is expected to be able to

  • Demonstrate a general understanding about geometric modelling and free form geometry on an advanced level.
  • Read literature that is in the research front of free form geometry.


Language of instruction and examination

English

Teaching methods

Lectures, guided self-study, paper and article writing tasks.

Assessment

Mandatory tasks: Essay

Exam: oral examination

The grade will be Passed/Not passed.

A re-sit exam will be arranged for this course


Recommended reading/syllabus

Compendium

In addition, each PhD student will be given an extended curriculum within the field/research area of the course.

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  • About the course
  • Campus: Narvik |
  • ECTS: 5
  • Course code: TEK-8503