MEGA 2007 Effective Methods in Algebraic Geometry Strobl, Austria, June 25th - 29th http://www.ricam.oeaw.ac.at/mega2007

Abstract

Title	PN-surfaces for blending applications
Keywords	Geometrical modeling, surfaces with rational offsets, blendings
Abstract	General theory of PN-surfaces (surfaces with rational offsets) is developed using dual Laguerre geometry and a universal rational parametrization of the Blaschke cylinder. This approach allows to construct new PN-blendings between two natural quadrics in many positions, and demostrate improved shape and lower parametrization degree than earlier proposed canal surface solutions. The construction can be extended via inversion to blendings between natural quadrics and Dupin cyclides as well.

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