To be able to introduce curves in plane and space and to obtain geometric modeling of curves by using approximation methods.
20
Contribution of the Course to Professional Development
21
Learning Outcomes:
1
Recall and reinforce the concepts of analytical and differential geometry curves;
2
To comprehend interpolation methods;
3
To understand the difference between Lagrange and Newton Interpolayson methods;
4
To understand the advantages of Hermite interpolation method against other methods;
5
To be able to comprehend the relationship and advantages between spline curves and Bezier curves;
6
To determine the usage areas of Bezier curves;
7
To have information about the places where curves are encountered in daily life and examples of their usage areas;
22
Course Content:
Week
Theoretical
Practical
1
Affine space
2
Point-vector relations and barisantric coordinates
3
Curves in plane and space
4
Linear interpolation method in curves
5
Polynomial interpolation and 4-point method in curves
6
Lagrange and Newton polynomial methods
7
Hermite interpolation method in curves
8
Spline interpolation method and cubic spline curves
9
Bezier curves
10
Bernstein representation of Bezier curves
11
Characteristics of Bezier curves and their relations with interpolation methods
12
Subdivision algorithm in Bezier curves
13
Degree elevation of Bezier curves
14
B-spline and NURBS curves
23
Textbooks, References and/or Other Materials:
A. Jaklic, A. Leonardis, F. Solina, Segmentation and Recovery of superquadrics,Kluwer Academic Publishers, 2000 G. Farin, J. Hoschek, M. S. Kim, Handbook of Computer aided Geometric Design, Elsevier Science, 2002. D. Salomon, Curves and Surfaces for Computer Graphics, springer Science business media, 2006. F. Yamaguchi, Curves and Surfaces in Computer Aided Geometric Design, Springer-Verlag, 1988.
24
Assesment
TERM LEARNING ACTIVITIES
NUMBER
PERCENT
Midterm Exam
1
40
Quiz
0
0
Homeworks, Performances
0
0
Final Exam
1
60
Total
2
100
Contribution of Term (Year) Learning Activities to Success Grade
40
Contribution of Final Exam to Success Grade
60
Total
100
Measurement and Evaluation Techniques Used in the Course
Information
25
ECTS / WORK LOAD TABLE
Activites
NUMBER
TIME [Hour]
Total WorkLoad [Hour]
Theoretical
Practicals/Labs
Self Study and Preparation
Homeworks, Performances
0
Projects
Field Studies
Midtermexams
Others
Final Exams
Total WorkLoad
Total workload/ 30 hr
ECTS Credit of the Course
26
CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
