Common Tangents to Spheres in $R3$

Ciprian Borcea 1 Xavier Goaoc 2 Sylvain Lazard 2 Sylvain Petitjean 2
2 VEGAS - Effective Geometric Algorithms for Surfaces and Visibility
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We prove that four spheres in $R3$ have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.
Document type :
Journal articles
Complete list of metadatas

Cited literature [9 references]  Display  Hide  Download

https://hal.inria.fr/inria-00100261
Contributor : Sylvain Lazard <>
Submitted on : Thursday, November 22, 2007 - 1:18:12 PM
Last modification on : Thursday, January 11, 2018 - 6:20:14 AM
Long-term archiving on : Tuesday, April 6, 2010 - 1:12:34 AM

File

DCG_4balls_revised.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Ciprian Borcea, Xavier Goaoc, Sylvain Lazard, Sylvain Petitjean. Common Tangents to Spheres in $R3$. Discrete and Computational Geometry, Springer Verlag, 2006, 35 (2), pp.287-300. ⟨10.1007/s00454-005-1230-y⟩. ⟨inria-00100261⟩

Share

Metrics

Record views

312

Files downloads

378