Fundamentals of Computer Aided Geometric Design

TL;DR: It is proved that, for a given set of parametric primary surfaces and parametric clipping curves, all parametric blending solutions can be expressed as the addition of a particular parametric solution and a generic linear combination of the basis of a free module of rank 3.

TL;DR: This paper characterize the generalized Chebyshev-type polynomials of the first kind, and provides a closed form of the constructed poynomials in term of the Bernstein polynomsials.

TL;DR: Various techniques to segment point clouds, which represent ‘regular’ or ‘free-form’ objects, are described, which are based on the logical separation of primary surfaces and feature elements.

TL;DR: This paper discusses some special applications of the theory of rational b-spline motions to the computer aided design of robot trajectories in which the motion of the end effector is implicitly defined by task level considerations.