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Conchoid surfaces of spheres
Peternell, Martin and Gruber, David and Sendra Pons, Juana
Conchoid surfaces of spheres.
"Computer Aided Geometric Design", v. 30
The conchoid of a surface F with respect to given xed 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.
Profesor Titular de Universidad Juana Sendra Pons
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