Minimum-Area ellipse containing a finite set of points. I

• Datum: 1998
• Hauptverfasser: Petunin, Yu. I., Rublev, В. V., Петунин, Ю. И., Рублев, Б. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4877
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

From the geometric point of view, we consider the problem of construction of a minimum-area ellipse containing a given convex polygon. For an arbitrary triangle, we obtain an equation for the boundary of the minimum-area ellipse in explicit form. For a quadrangle, the problem of construction of a mi...