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Abstract Classification of Singularities Preserving Features

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2165)

Abstract

In Chap. 2, we described the geometric features which objects in our images may have. One part of the classification of view projections involves the views of objects with geometric features in the absence of any additional features resulting from illumination. This reduces to the classification of view projections of objects with only geometric features. In this chapter we shall review several abstract classifications of map germs which have already been obtained for this situation. In addition, we shall indicate how these abstract results may be further extended so that they provide the abstract classifications for analyzing additional features beyond those originally considered.

Keywords

  • Geometric Feature
  • Geometric Realization
  • Abstract Classification
  • Local Diffeomorphism
  • View Projection

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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© 2016 Springer International Publishing Switzerland

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Damon, J., Giblin, P., Haslinger, G. (2016). Abstract Classification of Singularities Preserving Features. In: Local Features in Natural Images via Singularity Theory. Lecture Notes in Mathematics, vol 2165. Springer, Cham. https://doi.org/10.1007/978-3-319-41471-3_4

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