Computational geometry: find where the triangle is after rotation, translation or reflection on a mi

Posted by newba on Stack Overflow See other posts from Stack Overflow or by newba
Published on 2010-04-30T15:45:12Z Indexed on 2010/04/30 15:57 UTC
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algorithm

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algorithm-design

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java

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c++

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geometry

I have a small contest problem in which is given a set of points, in 2D, that form a triangle. This triangle may be subject to an arbitrary rotation, may be subject to an arbitrary translation (both in the 2D plane) and may be subject to a reflection on a mirror, but its dimensions were kept unchanged. Then, they give me a set of points in the plane, and I have to find 3 points that form my triangle after one or more of those geometric operations.

Example:

I bet that have to apply some known algorithm, but I don't know which. The most common are: convex hull, sweep plane, triangulation, etc.

Can someone give a tip? I don't need the code, only a push, please!

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