Abstract
In Chap. 8 we gave the classification of stable view projections of type (FC). In this chapter we further give the classification of generic transitions of type (FC). We summarize the classification for the five classes of transitions in Theorem 12.1 and in subsequent sections consider the individual cases.
Keywords
- Normal Form
- Generic Transition
- Tangent Plane
- Abstract Case
- View Direction
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References
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
J. Damon, P. Giblin, G. Haslinger, Local image features resulting from 3-dimensional geometric features, illumination, and movement: I. Int. J. Comput. Vis. 82, 25–47 (2009)
F. Tari, Projections of piecewise-smooth surfaces. J. Lond. Math. Soc. (2) 44, 152–172 (1991)
F. Tari, Some applications of singularity theory to the geometry of curves and surfaces. Ph.D. thesis, University of Liverpool, 1990
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Damon, J., Giblin, P., Haslinger, G. (2016). Transitions Involving Views of Geometric Features (FC). 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_12
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DOI: https://doi.org/10.1007/978-3-319-41471-3_12
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