Changing Views on Curves and Surfaces

@article{Kohn2017ChangingVO,
  title={Changing Views on Curves and Surfaces},
  author={Kathl{\'e}n Kohn and B. Sturmfels and Matthew Trager},
  journal={Acta Mathematica Vietnamica},
  year={2017},
  volume={43},
  pages={1-29}
}
  • Kathlén Kohn, B. Sturmfels, Matthew Trager
  • Published 2017
  • Mathematics, Computer Science
  • Acta Mathematica Vietnamica
  • Visual events in computer vision are studied from the perspective of algebraic geometry. Given a sufficiently general curve or surface in 3-space, we consider the image or contour curve that arises by projecting from a viewpoint. Qualitative changes in that curve occur when the viewpoint crosses the visual event surface. We examine the components of this ruled surface and observe that these coincide with the iterated singular loci of the coisotropic hypersurfaces associated with the original… CONTINUE READING

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