Topics:

2-Dimensional Graphics

• Raster Graphics: Bresenham's Line Drawing Algorithm, Line Clipping, Ploygon Clipping, Region Filling, Antialiasing
• Fractals: Turtle graphics, Iterated function systems, Fractal dimension
• Freeform Curves: Bezier and B-spline methods, de Casteljau's algorithm, de Boor's algorithm, subdivision and knot insertion techniques

3-Dimensional Graphics

• Affine and Projective Transformations: Translation, Rotation, Mirror Image, Scaling, Projection, Perspective, Homogeneous Coordinates
• 3-Dimensional Rendering: Viewing and clipping in 3-Dimensions, the Synthetic Camera, the Graphics Pipeline, Line and Polygon Clipping in 3-Dimensions, Hidden surface algorithms, Lighting models, Shading methods, Color models, Recursive ray tracing
• Surface Modeling: Planes, Quadrics, Tensor product surfaces
• Solid Modeling: Constructive solid geometry, Boundary representations, Octrees

References:

• Foley and van Dam, Computer Graphics: Principles and Practice, Chapters 3,5,6,11,12,13,15,16,19
• Barnsley, Chapter 3