Construction of the ellipse with maximum area inscribed in an arbitrary convex quadrilateral

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Long Ma, Yuanfeng Zhou

Published: 2024, Last Modified: 28 Oct 2024Comput. Aided Geom. Des. 2024EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Highlights•We find a method to transform the maximal inscribed ellipse for an arbitrary quadrilateral to a conditional extremum problem.•We derive the solution for the conditional extremum problem with elementary operations.•We design the construction algorithm for constructing the maximal ellipse inscribed in an arbitrary quadrilateral.