Abstract
This paper deals with the figure field, which is defined as the negative of the gradient vector field of the linear scale-space image. The scale-space hierarchy is obtained from the connectivity of stationary points determined by figure-field fluxes and trajectories of the stationary points in the scale space. A point at infinity plays an important role in this theory. The figure-field fluxes and the configuration of stationary points at each scale define a graph in the scale-space image. This graph describes the topological relations of segments in the original image. We employ the Voronoi tessellation to extract boundaries of the segments from the blurred linear scale-space image.
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Sakai, T., Imiya, A. (2005). Figure Field Analysis of Linear Scale-Space Image. In: Kimmel, R., Sochen, N.A., Weickert, J. (eds) Scale Space and PDE Methods in Computer Vision. Scale-Space 2005. Lecture Notes in Computer Science, vol 3459. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11408031_32
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DOI: https://doi.org/10.1007/11408031_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25547-5
Online ISBN: 978-3-540-32012-8
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