Computer-supported Geometric Modeling

Објавено: June 28, 2022
1. Course Title Computer-supported Geometric Modeling
2. Code 4ФЕИТ08Л006
3. Study program NULL
4. Organizer of the study program (unit, institute, department) Faculty of Electrical Engineering and Information Technologies
5. Degree (first, second, third cycle) First cycle
6. Academic year/semester 7. Number of ECTS credits 6
8. Lecturer D-r Vesna Andova
9. Course Prerequisites
10. Course Goals (acquired competencies): Adopt the basic notions of euclidian geometry, and affine geometry and its application. To gain knowledge and techniques for modeling fractals, curves, and surfaces. To be able to apply these techniques in software of choice. To develop analytical thinking, critical abilities, the ability of visualization, and creative thinking. To present hers/his solutions clearly and precisely. To be able to write scientific text, and later to present the results.
11. Course Syllabus: Affine transformations in the plane. Iterative function systems and fractals. Algorithms for fractal generation. Basic models of curves in a plane. Bezier curves and B-spline curves (definition, properties, algorithms). Polynomial surfaces and spline surfaces. De Casteljau’s algorithm, sub-journalism. Modeling curves and surfaces.
12. Learning methods: Lectures, presentations, and exercises.
13. Total number of course hours 3 + 2 + 0 + 0
14. Distribution of course hours 180
15. Forms of teaching 15.1. Lectures-theoretical teaching 45
15.2. Exercises (laboratory, practice classes), seminars, teamwork 30
16. Other course activities 16.1. Projects, seminar papers 30
16.2. Individual tasks 30
16.3. Homework and self-learning 45
17. Grading 17.1. Exams 35
17.2. Seminar work/project (presentation: written and oral) 0
17.3. Activity and participation 0
17.4. Final exam 65
18. Grading criteria (points) up to 50 points 5 (five) (F)
from 51to 60 points 6 (six) (E)
from 61to 70 points 7 (seven) (D)
from 71to 80 points 8 (eight) (C)
from 81to 90 points 9 (nine) (B)
from 91to 100 points 10 (ten) (A)
19. Conditions for acquiring teacher’s signature and for taking final exam Аttend classes regularly.
20. Forms of assessment During the semester, two partial written exams are provided (in the 8th and 15th week of the semester, lasting 60 minutes) and а project that has to be done during the semester.
In the exam sessions, a student can take a written exam (duration 120 minutes).
For students who have passed the partial exams/written exam, a final oral exam can be conducted (duration 60 minutes). The points from the partial exams/written exam, as well as the points from the project and the final oral exam are included in the final grade.
It is not allowed to use books, manuscripts, or notes unless said otherwise.
21. Language Macedonian and English
22. Method of monitoring of teaching quality Self-evaluation and questionaries.
23. Literature
23.1. Required Literature
No. Author Title Publisher Year
1 Michael Barnsley Fractals everywhere Academic Press Proffesional, Inc., San Diego, CA 1988
2 Јean Gallier Curves and Surfaces In Geometric Modeling: Theory And Algorithms Morgan Kaufmann Publishers 2000
3 Давид Ф. Роџерс Вовед во NURBS со историска перспектива Датапонс Дооел 2010
23.2. Additional Literature
No. Author Title Publisher Year
1 Gerald Farin Curves and Surfaces for GACD Academic press, San Diego, CA 2002