ABSTRACT
Imagine moving the set of control points of the Ferguson (or Bezier or B-Spline) curves in three dimensions. As they move in space, new curves will be generated. If they are moved smoothly in a proper way as desired then the curves formed create a surface, which may be thought as a bundle of curves. If each of the control point moves along a Ferguson curves of its owns, then a Ferguson surface patch will be created. Similarly, if each of the control points moves along Bazier curves of its own, then a Brazier surface patch will be created. Creating and representation of surface patch is discussed in this chapter. After knowing surface patch creation, surface fitting is also discussed in this chapter so that objects can be generated with the help of programming in CAD/CAM system.
