%% cross references \ccIndexSubitemSeeAlso{minimum enclosing}{smallest enclosing} \ccIndexSubitemSeeAlso{minimum spanning}{smallest enclosing} \ccIndexSubitemSeeAlso{concentric spheres}{annulus} %% ----------------------------------------------------------------------------- \ccRefChapter{Inscribed Areas} \ccChapterAuthor{Michael Hoffmann \and Eli Packer} This chapter describes concepts, classes, and functions for maximum area and perimeter inscribed $k$-gon (2D), extremal inscribed $k$-gon (2D), largest empty isorectangle (2D). \section*{Assertions} The optimization code uses infix \ccc{OPTIMISATION} in the assertions, e.g.\ defining the compiler flag \ccc{CGAL_OPTIMISATION_NO_PRECONDITIONS} switches precondition checking off, cf.~Section~\ref{sec:checks}. \section{Classified References Pages} \ccRefIdfierPage{CGAL::maximum_area_inscribed_k_gon_2}\\ \ccRefIdfierPage{CGAL::maximum_perimeter_inscribed_k_gon_2}\\ \ccRefIdfierPage{CGAL::extremal_polygon_2}\\ \ccRefIdfierPage{CGAL::Largest_empty_iso_rectangle_2}\\[1ex] \ccRefIdfierPage{CGAL::Extremal_polygon_area_traits_2}\\ \ccRefIdfierPage{CGAL::Extremal_polygon_perimeter_traits_2}\\[1ex] \ccRefConceptPage{ExtremalPolygonTraits_2}\\ \ccRefConceptPage{LargestEmptyIsoRectangleTraits_2} \input{Inscribed_areas_2_ref/main_Extremal_polygons.tex} \input{Inscribed_areas_2_ref/main_Largest_empty_iso_rectangle_2.tex}