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» Skinning of circles and spheres
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DCG
2006
89views more  DCG 2006»
13 years 7 months ago
Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions
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...
CAD
2010
Springer
13 years 7 months ago
3D ball skinning using PDEs for generation of smooth tubular surfaces
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...
CCCG
2003
13 years 8 months ago
Computing the Closest Point to a Circle
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...
Pinaki Mitra, Asish Mukhopadhyay, S. V. Rao
ICPR
2008
IEEE
14 years 1 months ago
Radon transform and Conformal Geometric Algebra with lines
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...
Luis Falcón-Morales, Eduardo Bayro-Corrocha...
COMPGEOM
2008
ACM
13 years 9 months ago
Arrangements of geodesic arcs on the sphere
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...
Efi Fogel, Ophir Setter, Dan Halperin