Abstract
In this chapter we consider the case of a smooth surface illuminated from one direction and viewed from a different direction. The shade curve and the apparent contour will then interact, but since these curves are not arbitrary curves on the surface the possible interactions are not necessarily the same as those which are possible on a surface with a marking curve or boundary. Since we assume the light projection is stable, we need only consider the case where it is a fold map or a cusp map.
Keywords
- Parameter Plane
- Viewpoint Change
- View Projection
- Versal Unfolding
- Light Projection
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References
J.W. Bruce, P.J. Giblin, Projections of surfaces with boundary. Proc. Lond. Math Soc. (3) 60, 392–416 (1990)
L. Donati, Singularités des vues des surfaces éclairées. Ph.D. thesis, Université de Nice, Sophia Antipolis, 1995
L. Donati, N. Stolfi, Shade singularities. Math. Ann. 308, 649–672 (1997)
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Damon, J., Giblin, P., Haslinger, G. (2016). Stable View Projections and Transitions Involving Shade/Shadow Curves on a Smooth Surface (SC). 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_11
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DOI: https://doi.org/10.1007/978-3-319-41471-3_11
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Print ISBN: 978-3-319-41470-6
Online ISBN: 978-3-319-41471-3
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