Computing Values and Derivatives of Bezier and B-spline Tensor Products|
Stephen Mann, Tony D. DeRose
We give an efficient algorithm for evaluating Bezier and B-spline tensor products for both positions and normals. The algorithm is an extension of a method for computing the position and tangent to a Bezier curve, and is asymptotically twice as fast as the standard bilinear algorithm.
Available in CAGD, Vol 12, No. 1.
Functional composition algorithms via blossoming|
Tony D. DeRose, Ronald N. Goldman, Hans Hagen, Stephen Mann
In view of the fundamental role that functional composition plays in mathematics, it is not surprising that a variety of problems in geometric modeling can be viewed as instances of the following composition problem: given representations for two functions F and G, compute a representation of the function H = F o G. We ... [more]
Available in Transactions on Graphics, Vol 12, No 2, April 1993.