Publications/carlinet.14.icip.inc

Getting a morphological Tree of Shapes for mulativariate images: paths, traps, and pitfalls

Method Description

(pre)order based methods

Colors are reduced to scalar value that defines an ordering to compute the Tree of Shapes. We have tested different pre-order on several color space, as well as several restitution rules.

• Restitution Rules:
  • Nearest color (NC): A removed shape is assigned to the closest color in the parent shape.
  • Mean (Pmean): Every shape is assigned with the mean color of its pixels.
  • Mean Parent (MP): A removed shape is assigned with the mean color of the parent shape pixels.
• Total orders considered: (NC, Pmean, MP are equivalent in this case).
  • Lexicographical (Lex): Lexicographical order with the R,G,B triplet.
• Total pre-orders considered:
  • Lightness in La*b*
  • Lightness in HLS $L_{HLS}=0.30R+0.59G+0.11B$
  • Brightness $I=(R+G+B)/3$
  • Chrominance in La*b* $C={\sqrt {a^{2}+b^{2}}}$