The forms of freeform surfaces (and curves) are not stored or defined in CAD software in terms of polynomial equations, but by their poles, degree, and number of patches (segments with spline curves). Most systems today use nonuniform rational B-spline (NURBS) mathematics to describe the surface forms however, there are other methods such as Gorden surfaces or Coons surfaces. Initially developed for the automotive and aerospace industries, freeform surfacing is now widely used in all engineering design disciplines from consumer goods products to ships. They are used to describe forms such as turbine blades, car bodies and boat hulls. Freeform surfaces do not have rigid radial dimensions, unlike regular surfaces such as planes, cylinders and conic surfaces. Freeform surface, or freeform surfacing, is used in CAD and other computer graphics software to describe the skin of a 3D geometric element.
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