Classification of the relative positions between a small ellipsoid and an elliptic paraboloid

Brozos-Vázquez, Miguel; Pereira-Sáez, María José; Souto Salorio, María José; Tarrío-Tobar, Ana D.

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http://hdl.handle.net/2183/34506

Classification of the relative positions between a small ellipsoid and an elliptic paraboloid

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Brozos_Vazquez_Miguel_2019_Classification_of_the_relative_positions_between_a_small_ellipsoid_and_an_elliptic_paraboloid.pdf (2.88 MB)

Identifiers

URI: http://hdl.handle.net/2183/34506

DOI: 10.1016/j.cagd.2019.05.002

Publication date

2019-06

Authors

Brozos-Vázquez, Miguel

Pereira-Sáez, María José

Souto Salorio, María José

Tarrío-Tobar, Ana D.

Bibliographic citation

Brozos-Vázquez, M., Pereira-Sáez, M. J., Souto-Salorio, M. J., & Tarrío-Tobar, A. D. (2019). Classification of the relative positions between a small ellipsoid and an elliptic paraboloid. Computer Aided Geometric Design, 72, 34–48. doi:10.1016/j.cagd.2019.05.002

Abstract

[Abstract]: We classify all the relative positions between an ellipsoid and an elliptic paraboloid when the ellipsoid is small in comparison with the paraboloid (small meaning that the two surfaces cannot be tangent at two points simultaneously when one is moved with respect to the other). This provides an easy way to detect contact between the two surfaces by a direct analysis of the coefficients of a fourth degree polynomial.

Description

©2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/. This version of the article Brozos-Vázquez, M., Pereira-Sáez, M. J., Souto-Salorio, M. J., & Tarrío-Tobar, A. D. (2019). “Classification of the relative positions between a small ellipsoid and an elliptic paraboloid” has been accepted for publication in Computer Aided Geometric Design, 72, 34–48. The Version of Record is available online at https://doi.org/10.1016/j.cagd.2019.05.002.