Computer-supported Geometric Modeling

Објавено: October 23, 2019
  1.    Course Title Computer-supported Geometric Modeling
  2.    Code 3ФЕИТ08Л007
  3.    Study program KTI
  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 III/6   7.    Number of ECTS credits 6.00
  8.    Lecturer  Dr Vesna  Andova
  9.    Course Prerequisites Taken course: Mathematics 1

10.    Course Goals (acquired competencies):  Adopt the basic notions of affine geometry and its application in modeling curves and surfaces, fractals and iterative function systems. Development of analytical thinking, critical abilities, learning ability. The acquired knowledge is necessary for the study of electrical engineering.

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, auditory 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 40
16.2. Individual tasks 10
16.3. Homework and self-learning 55
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 51 to 60 points     6 (six) (E)
from 61 to 70 points     7 (seven) (D)
from 71 to 80 points     8 (eight) (C)
from 81 to 90 points     9 (nine) (B)
from 91 to 100 points   10 (ten) (A)
19.    Conditions for acquiring teacher’s signature and for taking final exam Listened: Mathematics 1
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 Internal evaluation and surveys
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
23.2. Additional Literature
No. Author Title Publisher Year
1 Gerald Farin  Curves and Surfaces for GACD  Academic press, San Diego, CA  2002