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General intensity transformations and differential invariants

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Abstract

We consider the group of invertible image gray-value transformations and propose a generating equation for a complete set of differential gray-value invariants up to any order. Such invariants describe the image's geometrical structure independent of how its gray-values are mapped (contrast or brightness adjustments).

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Authors and Affiliations

  1. 3D Computer Vision Research Group, Utrecht University Hospital, Room E.02.222, Heidelberglaan 100, 3584 CX, Utrecht, The Netherlands

    L. M. J. Florack, B. M. Ter Haar Romeny, J. J. Koenderink & M. A. Viergever

Authors
  1. L. M. J. Florack
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  2. B. M. Ter Haar Romeny
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  3. J. J. Koenderink
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  4. M. A. Viergever
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Additional information

This work has been carried out as part of the national priority research program “3D Computer Vision,” supported by the Netherlands Ministries of Economic Affairs and Education and Science through a SPIN grant. The support from the participating industrial companies is gratefully acknowledged.

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Florack, L.M.J., Ter Haar Romeny, B.M., Koenderink, J.J. et al. General intensity transformations and differential invariants. J Math Imaging Vis 4, 171–187 (1994). https://doi.org/10.1007/BF01249895

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