Rational swept surface constructions based on differential and integral sweep curve properties ?
A novel family of swept surfaces, based on differential/integral sweep curve properties, is introduced. For Pythagorean-hodograph (PH) sweep curves, the swept surfaces admit exact rational representations. Several examples, involving the sweep curve parametric speed, arc length, tangent, normal, curvature, and offsets are presented. Preliminary requirements for automated machining of these surfaces, using only their high-level procedural definitions, are addressed.
swept surface sweep curve profile curve homogeneous coordinates rational surface pythagorean-hodograph curve