Convex Polygon Containment under Rotation and Translation

Given two convex polygons PP and QQ in the plane with nn and m=O(n)m = O(n) edges, respectively, is there a rigid motion (translation and rotation) of PP that makes it contained in QQ

Parameters

  • nn: number of edges in PP
  • mm: number of edges in QQ; m=O(n)m = O(n)

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Computational Model

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Approximation

Algorithms Table

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Reductions Table

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