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Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
MATHEMATICAL ELEMENTS FOR COMPUTER GRAPHICS CMM 513 0 3 + 0 3 6
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi Yüksek Lisans
Dersin Türü SECMELI
Dersin Koordinatörü Doç.Dr. ERGÜN NART
Dersi Verenler
Dersin Yardımcıları
Dersin Kategorisi Alanına Uygun Öğretim
Dersin Amacı
Teaching graduate students the mathematical elements for geometric modeling
Dersin İçeriği
Basics of Geometric Modeling, 2D and 3D Transformations, Perspectives, Planes and Space Curves, Surfaces, Solids, Analytical and Relational Properties and Intersections
Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 - Understanding the definition of geometric modeling 1 - 4 - 15 - C -
2 - Applying 2D transformations: Rotation, Reflection, Scaling, homogenous coordinates 1 - 4 - 15 - C -
3 - Performing multiple transformations 1 - 4 - 15 - C -
4 - Applying 3D transformations: Rotation, Reflection, Scaling, and Multiple transformations 1 - 4 - 15 - C -
5 - Obtaining Orthographic perspective transformation matrices for 3D objects and calculating new coordinates 1 - 4 - 15 - C -
6 - Obtaining axonometric perspective transformation matrices for 3D objects and calculating new coordinates 1 - 4 - 15 - C -
7 - Obtaining Oblique perspective transformation matrices for 3D objects and calculating new coordinates 1 - 4 - 15 - C -
8 - Learning Space curve types and their mathematical forms, and Applying calculation algorithms 1 - 4 - 15 - C -
9 - Knowing mathematical forms of surfaces 1 - 4 - 15 - C -
10 - Knowing the conditions for creating solid models 1 - 4 - 15 - C -
11 - Knowing surface intersection techniques 1 - 4 - 15 - C -
Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice 15:Problem Solving
Ölçme Yöntemleri: C:Homework

Ders Akışı

Hafta Konular ÖnHazırlık
1 Basics of Geometric Modeling
2 2D Transformations
3 Exercises I ( Rotation, Reflection, Scaling, Homogenous Coordinates, Multiple Transformations )
4 Exercises II ( Rotation and reflection with respect to a point and a line, General scaling)
5 3D Transformations
6 Exercises I ( Scaling, Shearing, Rotation, Reflection, Multiple Transformations)
7 Exercises II ( Rotation with respect to parallel axis, Rotation with respect to arbitrary axis, Reflection with respect to arbitrary plane )
8 Perspectives
9 Planes and Space Curves ( Cubic Splines, Bezier Curves, NURBS)
10 Midterm exam
11 Surfaces
12 Solids
13 Analytical and Relational Properties
14 Intersections

Kaynaklar

Ders Notu Geometric Modeling, Mortenson, M. E. , 1985 , John Wiley & Sons
Mathematical Elements for Computer Graphics, Rogers, D. , Adams , J. , 1990 , McGraw-Hill
Ders Kaynakları The NURBS Book, Piegl L. ,Tiller W. , 1997 , Springer-Verlag

Döküman Paylaşımı


Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5

Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 45
KisaSinav 1 15
Odev 1 2
ProjeTasarim 1 10
KisaSinav 2 15
Odev 2 2
Odev 3 2
Odev 4 2
Odev 5 2
Odev 6 2
Odev 7 3
Toplam 100
Yıliçinin Başarıya Oranı 40
Finalin Başarıya Oranı 60
Toplam 100

AKTS - İş Yükü

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