Publication (Journal publications)

Conchoid surfaces of spheres

Peternell, Martin; Gruber, David; Sendra, Juana

Abstract:

The conchoid of a surface F with respect to given fixed point O is roughly speaking the surface obtained by increasing the radius function with respect to O by a constant. This paper studies conchoid surfaces of spheres and shows that these surfaces admit rational parameterizations. Explicit parameterizations of these surfaces are constructed using the relations to pencils of quadrics in R3 and R4. Moreover we point to remarkable geometric properties of these surfaces and their construction.

Year:

2013

Type of Publication:

Journal publications

Journal:

Computer Aided Geometric Design

Volume:

30

Pages:

35-44

ISSN:

0167-8396

DOI:

http://dx.doi.org/10.1016/j.cagd.2012.06.005