GEOMETRY | FMA135 |

**Aim**

The aim of the course is to introduce geometrical concepts of importance in modern engineering applications, e.g. computer aided design (CAD), computer aided manufacturing (CAM), computer graphics and computer vision, and to give examples of their use. A subgoal is to study how geometrical objects can be described numerically in a neat way.

*Knowledge and understanding*

For a passing grade the student must

exhibit understanding of different algorithms in computer geometry.

show knowledge of and understanding of the properties of different concepts in projective geometry, and be aware of how they appear in applications.

*Skills and abilities*

For a passing grade the student must

be able to write Matlab programs to solve mathematical problems within the course.

be able to explain the solution to a mathematical problem within the course, in writing and orally, with clear logic and using proper terminology.

**Contents**

- Curves and surfaces. Some fundamental differential geometry. Bezier curves. Interpolation.
- Projective geometry. Perspective.

**Literature**

Ufnarovski, V. Geometri. Mat.inst.

Holmstedt, T. Föreläsningar i projektiv geometri. Mat. inst.