Difference between revisions of "Publications/carlinet.14.icip.inc"

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 ${\displaystyle L_{HLS}=0.30R+0.59G+0.11B}$
• Brightness ${\displaystyle I=(R+G+B)/3}$
• Chrominance in La*b* ${\displaystyle C={\sqrt {a^{2}+b^{2}}}}$

Results Summary

Best Grain<br\> Size Min PSNR Max PSNR Avg. PSNR
Shape-Graph ${\displaystyle {\dot {\mathcal {G}}}}$
Preorder CLa*b* (NC) 2 36.21 39.60 37.43
Preorder LLa*b* (NC) 5 36.32 38.43 37.43
Preorder LHLS (NC) 7 36.34 39.36 37.57
Preorder Brightness (NC) 8.5 36.39 39.60 37.67
Order Lex 100 36.42 47.78 38.10
Distance-Based 15 37.02 41.14 38.76
Preorder CLa*b* (MP) 300 36.31 41.37 38.92
Preorder CLa*b* (Pmean) 200 36.20 41.45 39.03
Preorder LLa*b* (MP) 300 36.77 41.38 39.34
Preorder LHLS (MP) 300 36.65 41.49 39.59
Preorder LLa*b* (Pmean) 200 37.00 42.22 39.72
Preorder Brightness (MP) 300 36.60 42.69 39.94
Preorder LHLS (Pmean) 200 37.03 41.84 39.96
Preorder Brightness (Pmean) 200 36.41 43.19 40.40
Shape-Graph ${\displaystyle {\ddot {\mathcal {G}}}}$ (marginal) 50 37.59 50.21 41.66
 Original image with gaussian noise corruption. PSNR = 36.46 Distance-based. λ = 9, PSNR = 37.88 Shape-graph ${\displaystyle {\ddot {\mathcal {G}}}}$ (marginal). λ = 30, PSNR = 39.98
 Preorder Brightness I (NC). λ = 100, PNSR = 37.24 Preorder Brightness I (MP), λ = 100, PSNR = 37.98 Preorder Brightness I (Pmean), λ = 100, PSNR = 38.23