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Transitions Involving Geometric Features and Shade/Shadow Curves (SFC)

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

Abstract

We have already completed the classifications of the realizations of the local transitions for both (SC) in Chap. 11 and (FC) Chap. 12 For (SF) we only consider stable view projections of stable (SF) stratifications which are regular or strata regular, so there is no contribution from apparent contours in the images; and the classification of these view projections for both the local and multilocal cases was completed in Chap. 8 Thus, to complete the classification of stable views and transitions involves two remaining cases. One is for the transitions for the local interaction of all three geometric features, shade/shadow, and apparent contours (SFC); and the second is for the multilocal transitions. In this chapter, we complete the classification for the case (SFC) and in the next chapter we shall complete the classification for multilocal transitions.

Keywords

  • Normal Form
  • Generic Transition
  • Transverse Line
  • Edge Curve
  • Cast Shadow

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

  1. Additional material on corners and some other cases, pdf file available at https://www.liv.ac.uk/~pjgiblin/papers/corners2-3.pdf and http://www.math.unc.edu/Faculty/jndamon

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© 2016 Springer International Publishing Switzerland

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Damon, J., Giblin, P., Haslinger, G. (2016). Transitions Involving Geometric Features and Shade/Shadow Curves (SFC). 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_13

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