1. The document discusses different types of parametric curves used for modeling shapes, including Bezier curves, B-splines, and Catmull-Rom splines. 2. These curves allow specifying points to interpolate and ensure continuity between pieces through conditions like C0, C1, and C2 continuity. 3. B-splines provide C2 continuity while allowing local control, whereas Catmull-Rom splines only provide C1 continuity but retain local control and interpolation properties.