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Pipeline +- algorithmisches Konzept, sowie Realisierung der Grafikkartenhardware ist vergleichbar mit Fließband +- spezialisierte Arbeitsstationen (Spezialprozessoren) +- jedes geometrische Objekt durchläuft Arbeitsstationen sequenziell +- Arbeitsschritte können dadurch gleichzeitig auf verschiedenen Daten ausgeführt werden + +## Bestandteile +Programm API -> Treiber -> Vertex-Verarbeitung -> Primitivenbehandlung -> Rasterisierung & Interpolation -> Fragment Verarbeitung -> Rasteroperation -> Bildspeicher + +## Allgemeines +- Anwendungsprogramm: + - läuft auf der CPU, + - definiert Daten und Befehlsabfolge, + - greift dazu über das Grafik-API (Application Programming Interface, z. B. OpenGL, Direct3D) auf die Grafikkarte zu +- Treiber: übersetzt die Grafikbefehle des Programms in die Maschinensprache der speziellen Grafikhardware (Graphics Processing Unit / GPU, z.B. von nVidia, AMD oder Intel) +- Befehle und Daten werden über den Bus (z.B. PCI-Express) von der CPU auf die GPU übertragen +- OpenGL-Pipeline: Abarbeitung der Grafikbefehle auf der GPU +- Ausgabe des Bildspeichers auf dem Monitor +- typischer OpenGL "Draw"-Befehl (im Anwendungsprogramm via OpenGL-API aufgerufen) + ```bash + glBegin(GL Polygon); + glVertex3f (1.0, 1.0, 0.0); + glVertex3f (0.0, 1.0, 0.0); + ... + glEnd(); + ``` +- Treiber schickt Daten/Befehle an die GPU (z. B. via PCIe -Bus) +- Funktionsausführung auf der GPU ist dann abhängig vom aktuellen Zustand (OpenGL State Machine bzw. den gewählten Shadern): + - z. B. vorher definierter Primitivtyp (hier GL Polygon), Transformation, Lichtquellen, Interpolationsart (z.B. Gouraud Shading vs. Flat Shading) + +Abarbeitungsreihenfolge auf der GPU: +- Empfangen der Vertices in einer geordneten Sequenz. +- Vertexverarbeitung via Vertex Shader. Jeder Input-Vertex im Datenstrom wird in einen Output-Vertex transformiert und beleuchtet. +- Primitive culling (Verwerfen wenn nicht sichtbar) und clipping (Abschneiden der Polygone am Rand) +- Rasterkonvertierung (Polygon Filling) und Interpolation der Attributwerte (x-Koordinate, 1/z, R, G, B, Texturkoordinaten u/v, ...) +- Die Daten jedes Fragmentes (Pixel/Subpixel) wird mit einem Fragment Shader verarbeitet. Zu jedem Fragment gehört eine Anzahl Attribute. +- Per-Sample Operationen: Blending (Alpha-Blending bei Transparenz), Tiefen- und Stencil- Operationen ... + + +## Vertex-Verarbeitung +- Transformationen: + - Modell-Transformation, Kamera-Transformation (Model View Matrix) → Matrixmultiplikationen → Skalarprodukt +- Beleuchtung (Lighting): + - Lichtquellen, diffuses & spekuläres Material: (Gouraud Shading) Lambert, Phong-Modell → Skalarprodukt +- Skalarprodukte (Gleitkomma-Multiplikationen und Additionen) werden durch viele parallele Prozessoren auf der GPU effizient verarbeitet. + +## Primitive & Primitivenbehandlung +![Primitive; Quelle Computergrafik Vorlesung 2020/21](Assets/Computergrafik-Renderpipeline-primitive.png) + +## Rasterkonvertierung +- Edge Tables bereits erzeugt (Polygonsetup in Primitivenbeh.) +- Rasterkonvertierung/Interpolation entspricht der Scan-Line-Konvertierung (s. Polygonfüllalgoritmus), generiert Pixel (Fragments) +- Interpolation der x-Werte der Kanten (siehe left edge scan /bzw. right edge scan) +- pro Scan Line: inkrementiere x-Wert (left edge, right edge) (OpenGL behandelt nur konvexe Polygone/Dreiecke – d. h. immer 2 Kanten pro Bildzeile!) +- lineare Interpolation weiterer Attribute: + - z (1/z)-Werte, + - RGB-Werte (Gouraud Shading), + - Texturkoordinaten u/v (affines Texturmapping), + - Normalen (Phong Shading) +- sehr wenige Ganzzahloperationen pro Pixel/Bildzeile +- Ausnahmen: z. B. perspektivische Texture Maps (FP-Division!) + + +## Fragment-Verarbeitung +Weiterverarbeitung auf Basis der interpolierten Attribute im Fragment Shader + +Beispiel: Phong-Shading + - Berechnung des Phong-Beleuchtungsmodells auf Basis der vorher linear interpolierten Fragmentnormalen, -position und Materialdaten sowie der Daten der Lichtquellen und Kameraposition + +## Rasteroperationen +- Abschließende Auswahl/Zusammenfassung der berechneten Fragmentdaten (pro Pixel) +- Beispiel: nicht transparente Objekte, Übernahme der Farbwerte mit z-Position, welche am dichtesten an der Kamera ist (z-Buffer) +- Beispiel: + - transparente Objekte (z.B. Glashaus), lineares Blending zwischen schon existierenden Farbwerten und neuesten entsprechend der Transparenz + - z.B. 40% Transparenz (bzw. 60% Opakheit) für rotes Quadrat $\begin{pmatrix} R & G & B \end{pmatrix} = \begin{pmatrix} 0,6*1+0,4*0 & 0,6*0+0,4*0 & 0,6*0+0,4*1 \end{pmatrix} = \begin{pmatrix} 0,6 & 0 & 0,4 \end{pmatrix}$ + + +## Performance +Einfaches Modell zur Bestimmung der Rechenzeit T: +$T = a * \text{Anzahl Vertices} + b * \text{Anzahl Bildpixel}$ (a = Aufwand pro Vertex, b = Aufwand pro Pixel) + +- Grafikkarten geben ihre Performance an in: + - Anzahl Polygone / Sekunde (Polygone mit kleiner Pixelanzahl) + - Anzahl verarbeitete Pixel / Sekunde + - z.B. ca. 100 Millionen Polygone/sec à 10 Pixel / Polygon (mit Texturen, tri-lineare Filterung, etc. mehrere Milliarden Pixel / s (Gouraud Shader) (Angaben: nVidia Geforce 6800 - Jahr 2005) +- Problem der Grafik-Pipeline: Flaschenhals! - Langsamste Operation hält Pipeline auf (bestimmt Durchsatz) → Zwei extreme Situationen: + - Vertex-limited: viele Vertices, kleine Polygone (wenige Pixel), einfache lineare Interpolation der Vertex-Attribute pro Fragment (kleines b ) + - Fill rate limited: anspruchsvolle Fragment-Shader (großes b), weniger dafür große Polygone (viele Pixel) +- Außerdem: Grafikspeicher-Zugriffe sind teuer (Latenz und Bandbreite beachten!) z.B. Auslesen gerenderter Bilder aus dem Grafikspeicher +- Eine für die Grafikkarte angegebene Performance (z. B. 100 Mio Polygone/sec bei G-Force 6800) ist nur unter unrealistisch günstigen Bedingungen zu erreichen. + - d. h. z.B. nicht 100 Mio. unterschiedliche Polygone mit 1 fps (wegen Speicherbandbreite für Vertexzugriffe) + - auch nicht 10.000 Polygone mit 10.000 fps (da Framebuffer-Reset teuer) + - Herstellerangaben gelten nur unter optimalen Bedingungen (z. B. 10 Pixel / projiziertem Polygon)! + - realistisch (verschieden große Polygone) → ca. 1 Mio Polygone mit 10 fps (10 Mio Polygone/s) = 10% der Peak Performance! + +$$\text{Durchsatz (fps)} \approx \text{Konst.} / \text{Polygonanzahl}$$ +- unter realitischem Durchsatz: Begrenzung durch Bildspeicher +- über realisitschem Durchsatz: Begrenzung durch Geometriespeicher + +## Hardware-Architektur +![GPU Architektur](Assets/Computergrafik_GPU_Hardware.png) +