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A resultant approach to detect intersecting curves in the projective space
Abstract : Given two curves in the projective space, either implicitly or by a parameterization, we want to check if they intersect. For that purpose, we present and further develop generalized resultant techniques. Our aim is to provide a closed formula in the inputs which vanishes if and only if the two curves intersect. This could be useful in Computer Aided Design, for computing the intersection of algebraic surfaces.
Cited literature [17 references]
https://hal.inria.fr/inria-00100315
Contributor : Laurent Busé Connect in order to contact the contributor
Submitted on : Tuesday, September 26, 2006 - 10:55:19 AM
Last modification on : Friday, February 4, 2022 - 3:18:16 AM
Long-term archiving on: : Monday, April 5, 2010 - 11:16:12 PM
Contributor : Laurent Busé Connect in order to contact the contributor
Submitted on : Tuesday, September 26, 2006 - 10:55:19 AM
Last modification on : Friday, February 4, 2022 - 3:18:16 AM
Long-term archiving on: : Monday, April 5, 2010 - 11:16:12 PM