Bouncing ball orbits and symmetry breaking effects in a three-dimensional chaotic billiard (2008)
Dietz, B., Moessner, B., Papenbrock, T., Reif, U., Richter, A.
We study the classical and quantum mechanics of a three-dimensional stadium billiard. It consists of two quarter cylinders that are rotated with respect to each other by 90 degrees, and it is...
Application of degree reduction of polynomial Bézier curves to rational case (2008)
Yunbeom Park, M. Watkins, A. Worsey, D. Lutterkort, J. Peters, U. Reif, ...
• Polynomial Bézier curve of degree n b n (t) = n� k=0 bkB n k (t) , 0 ≤ t ≤ 1, where B n k (t) are Bernstein polynomials of degree n, and b k(k = 0, · · · , n) are control points of b n...
On Constructing Topologically Unrestricted B-Splines (2007)
onstructing a spline space of smoothness order k. On one hand, the degree used here is twice the minimal degree required for tensor product splines. On the other hand, however, it is essentially...
Investigator Award 9457806-CCR (2007)
Abstract Given a polynomial p in d variables and of degree n we want to nd a best L 2-approximation over the d-simplex from polynomials of degree m n. This problem is shown to be equivalent to the...