Visual geometry

elective monographs

Analysis of visualisation problems in the context of computational geometry and application of acquired knowledge in practice.

1. Arrangement of objects in three dimensional space. Hidden surface removal.

2. Illumination. Borders of a shadow.

3. Pattern recognition.

4. Determination of an object position in a space.

5. Modeling of surfaces.

6. Rudiments of OpenGL, OpenCV and WebGL.

7. Graph visualization.

1. Papers in scientific journals and conference proceedings.

2. Web page: http://www.mimuw.edu.pl/~kowaluk

Knowledge

Students:

1. have a knowledge of fundamental branches of mathematics (geometry, combinatorics,

graph theory) that are necessary to study discussed informatics problems (K_W01).

2. have a good understanding of role and meaning of data structures used while solving

the problems (K_W02).

3. are aware of problems, know methods and instruments occuring in theoretic

and practical considerations (K_W03).

Skills

Students:

1. have ability to construct mathematic reasoning (K_U01).

2. are able to express computational problems in the language of mathematics (K_U02).

3. have ability to design algorithms using known methods (K_U04).

Competences

Students:

1. are aware of limitations of their own knowledge and understand the necessity

of further education, including studying other science branches (K_K01).

2. know how to formulate questions that serve self-understanding

of the given thema (in particular, in contact with non-IT specialist) or finding

missing elements of reasoning (K_K02).

3. understand the necessity of regular reading scientific and popular

journals in order to broaden and deepen their knowledge.

Class activity. Oral exam.

In the case of completing the course by a PhD student, such a student will be obliged to read a scientific article concerning the newest research trends and to discuss it with the lecturer as part of the exam.