File:Cercle minimum chrystal triangle.svg

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Français : Construction du cercle minimum par l'algorithme de Chrystal. On construit l'enveloppe convexe (en bleu).
  1. Prendre un côté de l'enveloppe convexe (en rouge), et regarder les triangles construits à partir de ce côté et d'un autre sommet de l'enveloppe (en vert). On retient le triangle ayant le plus petit angle au sommet (en traits pleins).
  2. Ce triangle a un angle obtus adjacent au segment de base, on considère donc le côté opposé à cet angle (en rouge). On construit de même des triangles avec les autres sommet (en vert), et on retient de même celui ayant le plus petit angle au sommet (en traits pleins).
  3. Ce triangle est acutangle, il définit donc le cercle minimum.
English: Determination of the smallest circle with the Chrystal algorithm. We build the convex hull (in blue).
  1. We choose one side of the convex hull (in red), we build triangles with the other vertices (in green), and we keep the one that has the smallest angle at this vertex (solid lines).
  2. This tirangle has an obtuse angle adjacent to the initial side, so we now considere the side of the triangle that is opposite to this obtuse angle (in red). As previously, we build triangle with the other vertices of the hull (in green), and we keep the tirangle with the smallest angle at this vertex (solid lines).
  3. This triangle has only acute angles, therefore it defines the smallest circle.
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Data: File:Smallest circle problem.svg.
Author Cdang


 
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current14:04, 10 January 2013Thumbnail for version as of 14:04, 10 January 2013608 × 589 (26 KB)Cdang (talk | contribs){{Information |description={{fr|1=Construction du cercle minimum par l'algorithme de Chrystal.}}{{fr|1=Determination of the smallest circle with the Chrystal algorithm.}} |date=2013-01-10 13:10:00 |source={{own}} |author=Cdang |permissi...

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