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
Mode of Delivery -
Teaching Methods and Techniques of the Course
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.
Learning Outcomes 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 Description Wellknown computational geometry problems, their algorithmic solutions and computational geometry problem solving techniques.
Related Sustainable Development Goals

 



Course Category

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

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Required Materials
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
Portfolio
Homework / Assignments
2
40
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
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
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
48
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
2
10
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
1
16
Final Exams
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 and Industrial Engineering; to be able to use theoretical and applied information in these areas to model and solve Industrial Engineering problems.

X
2

To be able to identify, formulate and solve complex Industrial Engineering problems by using state-of-the-art methods, techniques and equipment; to be able to select and apply proper analysis and modeling methods for this purpose.

X
3

To be able to analyze a complex system, process, device or product, and to design with realistic limitations to meet the requirements using modern design techniques. 

X
4

To be able to choose and use the required modern techniques and tools for Industrial Engineering applications; to be able to use information technologies efficiently.

X
5

To be able to design and do simulation and/or experiment, collect and analyze data and interpret the results for investigating Industrial Engineering problems and Industrial Engineering related research areas.

X
6

To be able to work efficiently in Industrial Engineering disciplinary and multidisciplinary 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 present effectively; to be able to give and receive clear and comprehensible instructions

8

To have knowledge about contemporary issues and the global and societal effects of Industrial Engineering practices on health, environment, and safety; to be aware of the legal consequences of Industrial Engineering solutions.

X
9

To be aware of professional and ethical responsibility; to have knowledge of the standards used in Industrial Engineering practice.

X
10

To have knowledge about business life practices such as project management, risk management, and change management; to be aware of entrepreneurship and innovation; to have knowledge about sustainable development.

11

To be able to collect data in the area of Industrial Engineering; to be able to communicate with colleagues in a foreign language.

X
12

To be able to speak a second foreign 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 Industrial Engineering.

X

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