Topological Numbers and Singularities in Scalar Images: Scale-Space Evolution Properties

@article{Kalitzin1998TopologicalNA,
  title={Topological Numbers and Singularities in Scalar Images: Scale-Space Evolution Properties},
  author={Stiliyan Kalitzin and Bart M. ter Haar Romeny and Alfons H. Salden and Peter F. M. Nacken and Max A. Viergever},
  journal={Journal of Mathematical Imaging and Vision},
  year={1998},
  volume={9},
  pages={253-269}
}
Singular points of scalar images in any dimensions are classified by a topological number. This number takes integer values and can efficiently be computed as a surface integral on any closed hypersurface surrounding a given point. A nonzero value of the topological number indicates that in the corresponding point the gradient field vanishes, so the point… CONTINUE READING