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CMPS 3120: Computational Geometry Spring 2013

CMPS 3120: Computational Geometry Spring 2013. A. B. d  (B,A). Shape Matching. Translate. When are two shapes similar?. Are these shapes similar?. Translate & Rotate. Translate. When are two shapes similar?. Are these shapes similar?. Translate & Rotate. Translate. Translate & Scale.

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CMPS 3120: Computational Geometry Spring 2013

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  1. CMPS 3120: Computational GeometrySpring 2013 A B d(B,A) Shape Matching CMPS 3120 Computational Geometry

  2. Translate When are two shapes similar? Are these shapes similar?

  3. Translate & Rotate Translate When are two shapes similar? Are these shapes similar?

  4. Translate & Rotate Translate Translate & Scale When are two shapes similar? Are these shapes similar?

  5. Translate & Rotate Translate Translate & Scale Translate & Reflect When are two shapes similar? Are these shapes similar?

  6. Translate & Rotate Translate Translate & Scale Translate & Reflect Partial Matching When are two shapes similar? Are these shapes similar?

  7. Translate & Rotate Translate Translate & Scale Translate & Reflect Partial Matching When are two shapes similar? Are these shapes similar?

  8. Geometric Shape Matching Given: Twogeometric shapes, each composed of a number of basic objects such as points line segments triangles An application dependantdistance measured, e.g., the Hausdorff distance A set of transformations T, e.g., translations, rigid motions, or none min d(T(A),B) Matching Task: Compute TÎT

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