240103 Praktische Mathematik für Medieninformatiker (V) (SoSe 2012)
Contents, comment
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In der Vorlesung werden die Grundkenntnisse der linearen Algebra und der Analysis vertieft, wobei Konzepte im Vordergrund stehen, die Anwendungen in der Computergrafik besitzen, vgl. die unten aufgelisteten Stichworte.
Anschließend werden Minimierungs-, Ausgleichs- und Interpolationsprobleme behandelt. Zum Abschluss der Vorlesung wird die projektive Geometrie vorgestellt, die z. B. von der OpenGL-Bibliothek intern verwendet wird und es unter anderem erlaubt, Punkte im Unendlichen explizit zu beschreiben.Stichworte zum Inhalt:
Euklidische Vektorräume, orthogonale Matrizen, Skalierungen, Scherungen, QR-Zerlegung, komplexe Zahlen, Ähnlichkeitstransformationen, Eigenwerte und Eigenvektoren, Projektionen, (partielle) Ableitungen, Gradient, Normalen und Tangentialvektoren, Kurven, Niveaulinien, Berechnung lokaler Minima, Hesse-Matrix, Ausgleichsprobleme, Polynominterpolation, Darstellungen des Interpolationspolynoms nach Lagrange und Newton, Bezier-Kurven und Flächen, Projektive Geometrie.
Teaching staff
Dates ( Calendar view )
| Frequency | Weekday | Time | Format / Place | Period | |
|---|---|---|---|---|---|
| weekly | Di | 14-16 | V5-148 | 02.04.-13.07.2012 | |
| weekly | Mi | 10-12 | V5-148 | 02.04.-13.07.2012 |
Subject assignments
| Module | Course | Requirements | |
|---|---|---|---|
| 24-M-PMM Praktische Mathematik für die Medieninformatik | Praktische Mathematik für Medieninformatik | Student information | |
| - | Graded examination | Student information |
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- Faculty of Mathematics
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