Distance computation from an ellipsoid to a linear or a quadric surface in IRn

Authors:
Alexei Yu. Uteshev;Marina V. Yashina
Affiliations:
Faculty of Applied Mathematics, St. Petersburg State University, St. Petersburg, Russia;Faculty of Applied Mathematics, St. Petersburg State University, St. Petersburg, Russia
Venue:
CASC'07 Proceedings of the 10th international conference on Computer Algebra in Scientific Computing
Year:
2007

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Abstract

Given the equations of the surfaces, our goal is to construct a univariate polynomial one of the zeroes of which coincides with the square of the distance between these surfaces. To achieve this goal we employ the Elimination Theory methods.