Computing intersections of implicitly specified plane curve

Title: Computing intersections of implicitly specified plane curve
Creator: Lindstrom, Scott B.; Sims, Brailey; Skerritt, Matthew P.
Relation: Journal of Nonlinear and Convex Analysis Vol. 18, Issue 3, p. 347-359
Relation: http://www.ybook.co.jp/
Publisher: Yokohama Publishers
Resource Type: journal article
Date: 2017
Description: Abstract: We investigate the application of projection algorithms, more specifically the Douglas-Rachford algorithm, to finding points of intersection of two plane curves. We contrast the employment of typical Euclidean reflection with that of Schwarzian reflection. Local convergence near an isolated intersection point is established and the efficacy of the approaches relative to one another and to more classical methods is explored. The extension to curves in higher dimensional space is noted.
Subject: Douglas Rachford algorithm; intersection of two curves; analytic curve; Schwarzian reflection
Identifier: http://hdl.handle.net/1959.13/1399761
Identifier: uon:34670
Identifier: ISSN:1345-4773
Language: eng
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