Review List for Midterm Examination 2

Chapters:             4 and 5

Lecture Notes: 12 ~ 21

Topics:

1. Vector space: Components and operations
2. Affine space: Components and operations
3. Elementary objects: points, lines, line segments, curves, surfaces, planes, triangles and associations such as convexity, normals
4. Coordinate system: linear independence, dimensions, basis, frames, and their representations
5. Homogeneous coordinate representation
6. Coordinate and Frame change
7. Affine transformations and their characteristics: translation, rotation, scaling, shear
8. Affine transformation matrix and transformation concatenation
9. General transformation
10. Model-view matrix and projection matrix
11. OpenGL matrices, CTM (Current Transformation Matrix) and their operations
12. OpenGL functions for transformations
13. Matrix stacks
14. OpenGL Vertex arrays
15. Classical viewing and various projections and their cons and pros
16. Computer viewing: three aspects – positioning camera, selecting lens and clipping
17. OpenGL default settings for camera, lens (projection), and clipping
18. Two ways to positioning camera in OpenGL
19. Parallel projection and normalization: Orthogonal and shear projection
20. Perspective projection and normalization: simple and general projection
21. Projection pipeline
22. Parallel and perspective projections in OpenGL
23. Hidden-surface removal and the z-buffer algorithm
24. Projection and shadows