This paper gives n-dimensional analogues of the Apollonian circle packings in Parts I and II. Those papers considered circle packings described in terms of their Descartes configur...
Ronald L. Graham, Jeffrey C. Lagarias, Colin L. Ma...
We present an approach to compute a smooth, interpolating skin of an ordered set of 3D balls. By construction, the skin is constrained to be C1 continuous, and for each ball, it i...
Gregory G. Slabaugh, Brian Whited, Jarek Rossignac...
In this paper we consider the problem of computing the closest point to the boundary of a circle among a set S of n points. We present two algorithms to solve this problem. One al...
In this paper we apply the classic theory of Harmonic Analysis and the Conformal Geometric Algebra (CGA) to evaluate the Fourier transform on the unit sphere S2 and on the rotatio...
This movie illustrates exact construction and maintenance of arrangements induced by arcs of great circles embedded on the sphere, also known as geodesic arcs, and exact computati...