Parametic representation

Finally I fininshed the first chapter of learning the animation!

1. Parametric representation & Implicit representation;
2. Basis and Control Points(Vertices);
3. The property of basis function: Convex hull property & Affine invariance;
4. Bezier curves and surfaces;
5. Recursive subdivision of Bezier curves & Bezier surfaces (patch splitting);
6. B-splines: The uniform B-spline;
7. Local & global paramenters;
8. The blending functions and knot vectors;
9. Nonuniform B-splines;
10. Nonperiodic knot vectors;
11. Knot insertion;
12. Continuity: G0,C0,G1,C1,G2,C2;
13. Interpolation using B-splines;
14. Chord lenght parametrization;
15. Surface fitting using B-spline fitter;
16. The twist vector;
17. Non-uniform rational B-spline(NURBS);
18. beta-splines;
19. Catmull-Rom splines;
20. Converting between representation.