Lemniscatas 3D

A 3D lemniscate is a surface consisting of all points whose product of distances toa (finite) set of points or foci is constant. We introduce 3D lemniscates in the contextof geometric modelling and consider its deformation, paying attention to disconnectednessissues. We deal mainly with lemniscates...

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Main Authors: Ortega, Rafael, Paluszny, Marco
Format: Artículo
Language: Español
Published: 2015
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/212
http://hdl.handle.net/10669/12854
Summary: A 3D lemniscate is a surface consisting of all points whose product of distances toa (finite) set of points or foci is constant. We introduce 3D lemniscates in the contextof geometric modelling and consider its deformation, paying attention to disconnectednessissues. We deal mainly with lemniscates of three foci.Keywords: lemniscate, implicit modelling, closed surface, algebraic surface, interactivedeformation