CE 380 | Course Introduction and Application Information

Course Name
Computational Geometry
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
CE 380
Fall/Spring
3
0
3
5

Prerequisites
None
Course Language
English
Course Type
Elective
Course Level
First Cycle
Course Coordinator -
Course Lecturer(s) -
Assistant(s) -
Course Objectives The objective of this course is to teach the students techniques of solving geometric problems using algorithmic methods.
Course Description The students who succeeded in this course;
  • will be able to formally define the primitive computational geometric objects,
  • will be able to develop polynomial time algorithms for computational geometry problems where such an algorithm exists,
  • will be able to compute the convex hull of a given point set,
  • will be able to construct the Voronoi diagram of a given point set,
  • will be able to calculate the Delaunay triangulation of a given point set,
  • will be able to triangulate a given polygon,
  • will be able to partition a given polygon into convex or monotone polygons.
Course Content Wellknown computational geometry problems, their algorithmic solutions and computational geometry problem solving techniques.

 



Course Category

Core Courses
Major Area Courses
Supportive Courses
X
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
1 Background & Introduction
2 Polygon Triangulation I Chapter 1, Computational Geometry in C (2nd Edition), Joseph O'Rourke
3 Polygon Triangulation II Chapter 1, Computational Geometry in C (2nd Edition), Joseph O'Rourke
4 Polygon Partitioning Chapter 2, Computational Geometry in C (2nd Edition), Joseph O'Rourke
5 Convex Hulls in Two Dimensions I Chapter 3, Computational Geometry in C (2nd Edition), Joseph O'Rourke
6 Convex Hulls in Two Dimensions II Chapter 3, Computational Geometry in C (2nd Edition), Joseph O'Rourke
7 Review
8 Midterm
9 Convex Hulls in Three Dimensions I Chapter 4, Computational Geometry in C (2nd Edition), Joseph O'Rourke
10 Convex Hulls in Three Dimensions II Chapter 4, Computational Geometry in C (2nd Edition), Joseph O'Rourke
11 Voronoi Diagrams Chapter 5, Computational Geometry in C (2nd Edition), Joseph O'Rourke
12 Delaunay Triangulations Chapter 5, Computational Geometry in C (2nd Edition), Joseph O'Rourke
13 Search and Intersection I Chapter 7, Computational Geometry in C (2nd Edition), Joseph O'Rourke
14 Search and Intersection II Chapter 7, Computational Geometry in C (2nd Edition), Joseph O'Rourke
15 Review
16 Review of the Semester  

 

Course Notes/Textbooks Computational Geometry in C (2nd Edition), Joseph O'Rourke, Cambridge University Press
Suggested Readings/Materials Computational Geometry Algorithms and Applications (3rd Edition), Mark De Berg, Otfried Cheong, Marc van Kreveld, Mark Overmars, SpringerVerlag Publishing

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Homework / Assignments
2
40
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
1
25
Final Exam
1
35
Total

Weighting of Semester Activities on the Final Grade
65
Weighting of End-of-Semester Activities on the Final Grade
35
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Theoretical Course Hours
(Including exam week: 16 x total hours)
16
3
48
Laboratory / Application Hours
(Including exam week: 16 x total hours)
16
Study Hours Out of Class
16
3
Field Work
Quizzes / Studio Critiques
Homework / Assignments
2
10
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
1
16
Final Exam
1
18
    Total
150

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To have adequate knowledge in Mathematics, Science, Computer Science and Software Engineering; to be able to use theoretical and applied information in these areas on complex engineering problems.

X
2

To be able to identify, define, formulate, and solve complex Software Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose.

X
3

To be able to design, implement, verify, validate, document, measure and maintain a complex software system, process, or product under realistic constraints and conditions, in such a way as to meet the requirements; ability to apply modern methods for this purpose.

X
4

To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in software engineering applications; to be able to use information technologies effectively.

X
5

To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex Software Engineering problems.

X
6

To be able to work effectively in Software Engineering disciplinary and multi-disciplinary teams; to be able to work individually.

7

To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to be able to present effectively, to be able to give and receive clear and comprehensible instructions.

8

To have knowledge about global and social impact of engineering practices and software applications on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of Engineering and Software Engineering solutions.

9

To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in engineering applications.

10

To have knowledge about industrial practices such as project management, risk management, and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development.

11

To be able to collect data in the area of Software Engineering, and to be able to communicate with colleagues in a foreign language.

X
12

To be able to speak a second foreign language at a medium level of fluency efficiently.

13

To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Software Engineering.

X

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest