CSC 418/2504 Lecture Topics

Getting Started with OpenGL (PDF)

Introduction, Display Technology, and Basic Drawing

• Introduction
• What is computer graphics?
• Elements of CG
• Modeling, Animation, Rendering, & Interaction
• Display Technology
  • Vector Graphics
  • Raster Graphics
  • Gamma Correction
  • Colormaps
  • Frame Buffer/Double Buffer
• Basic Drawing
  • Line drawing
    • Bresenham's Algorithm
  • Polygon Drawing
    • Convex vs. Concave
    • Scan Conversion a Triangle
    • Polygon Triangulation
    • Pattern Filling
  • Circle/Ellipse Drawing
  • Clipping
    • Sutherland-Hodgman

Basic Geometric Modeling

• Coordinate-Free Geometry
  • Algebra of Points & Vectors (Fall 2003)
• 2D Affine Transforms
  • Translation
  • Scale
  • Rotation
  • Shear
  • Matrix Transformation
  • Homogeneous Coordinates
• Hierarchical Models
  • Scene Graph (DAG)

• Principles of Animation
  • Ease-in/Ease-out
  • Straight Up vs. Pose to Pose
  • Squash & Stretch
  • Anticipation & Follow Through
• Key-frame Animation
  • Interpolation
  • Parametric Curves
• Articulated Figures
  • Foward & Inverse Kinematics
• Motion Capture
• Physical-based Animation
  • Newtons Laws of Motion
  • Spring-Mass Systems

• Planes
• Polyhedra/Meshes
  • Face Normal
  • Vertx Normal
  • Bi-linear Interpolation
• 3D Transformations
  • Change-of-Basis Matrix

• Viewer Coordinates
• Projections
  • Orthographic
  • Perspective
• Viewing Pipeline
• 3D View Volumes
  • Canonical Space
  • 3D Clipping
  • Perspective Divide

• Backface culling
• Image Space Visibility Algorithm
  • Z-buffer/A-buffer
• Object Space Visibility Algorithm
  • Painter's Algorithm
  • BSP Trees

• Light Sources
  • Point
  • Spot
  • Directional
  • Area
• Illumination Models
  • BRDF
  • Ambient
  • Diffuse
    • Lambert's Law
  • Specular
    • Snell's Law
  • Phong/Blinn
• Shading
  • Flat
  • Gouraud
  • Phong

• Texture Coordinates, 2D Mapping, and 3D Mapping
• Bump Mapping
• Environment Mapping

• Introduction
• Object Intersections
• Spawning Rays (Reflection, Refraction, and Shadows)
• Monte-Carlo Sampling

• Global Illumination
• Radiosity
• Caustics
• Antialiasing
• Depth of Field
• Motion Blur

• Continuous Curves
  • Parametric, Explicit, Implicit and Representations
  • Polynomials
  • Continuity: C and G - Position, Tangentional...
• Hermite Curves
• Basis Functions
• Basis Matrix
• Bezier Curves
  • Bernstein's Polynomials
• Splines
• Curve Properties
  • Affine Invariance
  • Variation Diminishing
  • Convex Hull
  • Local Control

• Subdivision Curves
• Spline Patches