Universitat Politècnica de Catalunya
Universitat Politècnica de Catalunya. CRG - Grup de Robòtica Computacional
2023
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.
Peer Reviewed
Preprint
Conference report
Inglés
Àrees temàtiques de la UPC::Matemàtiques i estadística; Distance geometry; Ellipse constellations; Squared distances; Computational kinematics; Power of a point with respect to an ellipse
Springer
https://link.springer.com/chapter/10.1007/978-3-031-45705-0_52
Open Access
E-prints [72871]
