1. Simple Ray-Based Rendering
REF:
Google Book: An Introduction to Ray Tracing (Glassner)

3. Image Formation (Forward) Ray Tracing (Backward) Ray Tracing [physics]
[only trace the rays that come to our eye]
[physics]

19. [ ]

21. Barycentric Coordinates
Also known as area coordinates
bi + bj + bk = 1
the coordinates of P with respect to triangle ABC are proportional to the (signed) areas of PBC, PCA and PAB.

22. r1 r2 r3
(l1, l2, l3)

23. (ray-quadric intersection)

24. （二次曲面）

25. Ellipsoid
Paraboloid
Hyperbolic paraboloid
Hyperboloid
of one sheet
of two sheets
Cone
Cylinder

26. Ray-Quadrics Intersection
Normal
(gradient)

27. Example

28. Example (cont)

29. Transformed Quadrics Point u on a quadric: After transformation H
Point u becomes v = Hu
Quadric Q becomes H-TQH-1
Proof:

33. Check out
BVH notes!!

39. (modified DDA algorithm, ref)