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The projective invariants for polygons

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Computer Analysis of Images and Patterns (CAIP 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 970))

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Abstract

The paper deals with features of a general polygon which are invariant with respect to projective transform. First, some properties of the area of a triangle under projective transform are discussed. New projective triangular invariants of polygons are derived as the quotient of two different products of the areas of the triangles formed by the vertices of the polygon. The features are proved to be invariant to numbering of the vertices of the polygon. The number of projective triangular invariants for polygons with the given number of vertices is discussed. Numerical experiments dealing with three octagons deformed by projective transforms are described.

This work has been supported by the grant No. 102/94/1835 of the Grant Agency of the Czech Republic.

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References

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Authors and Affiliations

  1. Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vodárenskou věží 4, 182 08, Prague 8, Czech Republic

    Tomáš Suk & Jan Flusser

Authors
  1. Tomáš Suk
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  2. Jan Flusser
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Václav Hlaváč Radim Šára

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© 1995 Springer-Verlag Berlin Heidelberg

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Suk, T., Flusser, J. (1995). The projective invariants for polygons. In: Hlaváč, V., Šára, R. (eds) Computer Analysis of Images and Patterns. CAIP 1995. Lecture Notes in Computer Science, vol 970. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60268-2_372

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  • DOI: https://doi.org/10.1007/3-540-60268-2_372

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60268-2

  • Online ISBN: 978-3-540-44781-8

  • eBook Packages: Springer Book Archive

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