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**1. Introduction and Overview of Graphics System:**

- Definition and Representative uses of computer graphics, classification of application areas, Overview of coordinate systems ,definition of scan conversion, rasterization and rendering.
- Raster scan & random scan displays, Flat Panel displays like LCD and LED , architecture of raster graphics system with display processor, architecture of random scan systems.

**2. Output Primitives :**

- Scan conversions of point,line, circle and ellipse : DDA algorithm and Bresenham algorithm for line drawing, midpoint algorithm for circle, midpoint algorithm for ellipse drawing ( Mathematical derivation for above algorithms is expected )
- Aliasing , Antialiasing techniques like Pre and post filtering , super sampling , and pixel phasing ).
- Filled Area Primitive: Scan line Polygon Fill algorithm, Inside outside tests, Boundary Fill and Flood fill algorithm.

**3: Two Dimensional Geometric Transformations**

- Basic transformations : Translation , Scaling , Rotation
- Matrix representation and Homogeneous Coordinates
- Composite transformation
- Other transformations : Reflection and Shear
- Raster method for transformation.

**4. Two Dimensional Viewing and Clipping:**

- Viewing transformation pipeline and Window to Viewport coordinate transformation
- Clipping operations – Point clipping , Line clipping algorithms : Cohen – Sutherland , Midpoint subdivision , Liang – Barsky , Polygon Clipping Algorithms : Sutherland – Hodgeman, Weiler – Atherton.

**5. Three Dimensional Object Representations , Geometric Transformations
and 3D Viewing**

- Boundary Representation and Space partitioning representation: Polygon Surfaces , Bezier Curve , Bezier Surface , B-Spline Curve , Sweep Representation, Constructive Solid Geometry ,Octree, Fractal-Geometry : Fractal Dimension, Koch Curve.
- 3D Transformations :Translation, Rotation , Scaling and Reflection.
- Composite transformations :Rotation about an arbitrary axis
- 3D transformation pipeline
- Projections – Parallel , Perspective.( Matrix Representation )
- 3D clipping.

**6. Visible Surface Detection**

- Classification of Visible Surface Detection algorithm
- Back Surface detection method
- Depth Buffer method
- Depth Sorting method
- Scan line method
- Area Subdivision method

**7. Illumination Models and Surface Rendering**

- Basic Illumination Models : Diffused reflection, Phong Specular reflection Model
- Halftone and Dithering techniques
- Polygon Rendering :Constant shading , Gouraud Shading , Phong Shading.

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