dc.contributor
Universitat Politècnica de Catalunya. CRG - Grup de Robòtica Computacional
dc.contributor.author
Thomas, Federico
dc.contributor.author
Bongardt, Bertold
dc.date.accessioned
2026-03-26T08:24:55Z
dc.date.available
2026-03-26T08:24:55Z
dc.identifier
Thomas, F.; Bongardt, B. On ellipse intersections by means of distance geometry. A: ASME/IFToMM International Conference on Reconfigurable Mechanisms and Robots. «Advances in Mechanism and Machine Science: Proceedings of the 16th IFToMM World Congress 2023 - Volume 1». Springer, 2023, p. 533-543. ISBN 978-3-031-45705-0. DOI 10.1007/978-3-031-45705-0_52 .
dc.identifier
978-3-031-45705-0
dc.identifier
https://hdl.handle.net/2117/459499
dc.identifier
10.1007/978-3-031-45705-0_52
dc.identifier.uri
https://hdl.handle.net/2117/459499
dc.description.abstract
The problem of intersecting two ellipses arises as a frequent subproblem in computational kinematics and geometry. In this paper, an efficient solution method to this problem is presented using the concept of the power of a point with respect to an ellipse. The point-ellipse power appears in Distance Geometry as a generalization to the squared distance between two points. For establishing the intersection method, several algebraic forms of ellipses are reviewed and the interoperability of distinct deffinitions for the power of points and ellipses are outlined.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Preprint
dc.format
application/pdf
dc.relation
https://link.springer.com/chapter/10.1007/978-3-031-45705-0_52
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject
Distance geometry
dc.subject
Ellipse constellations
dc.subject
Squared distances
dc.subject
Computational kinematics
dc.subject
Power of a point with respect to an ellipse
dc.title
On ellipse intersections by means of distance geometry
dc.type
Conference report
