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

From LRDE

Line 27: Line 27:
 
! !! Best Grain Size !! Min PSNR !! Max PSNR !! Avg. PSNR
 
! !! Best Grain Size !! Min PSNR !! Max PSNR !! Avg. PSNR
 
|-
 
|-
| Shape-Graph \GI || || || ||
+
| Shape-Graph <math>\dot{\mathcal{G}}</math> || || || ||
 
|-
 
|-
| Preorder $C_\textrm{La*b*}$ (NC) || 2 || 36.21 || 39.60 || 37.43
+
| Preorder C<sub>La*b*</sub> (NC) || 2 || 36.21 || 39.60 || 37.43
 
|-
 
|-
|Preorder $L_\textrm{La*b*}$ (NC) || 5 || 36.32 || 38.43 || 37.43
+
|Preorder L<sub>La*b*</sub> (NC) || 5 || 36.32 || 38.43 || 37.43
 
|-
 
|-
|Preorder $L_\textrm{HLS}$ (NC) || 7 || 36.34 || 39.36 || 37.57
+
|Preorder L<sub>HLS</sub> (NC) || 7 || 36.34 || 39.36 || 37.57
 
|-
 
|-
 
|Preorder Brightness (NC) || 8.5 || 36.39 || 39.60 || 37.67
 
|Preorder Brightness (NC) || 8.5 || 36.39 || 39.60 || 37.67
Line 41: Line 41:
 
|Distance-Based || 15 || 37.02 || 41.14 || 38.76
 
|Distance-Based || 15 || 37.02 || 41.14 || 38.76
 
|-
 
|-
|Preorder $C_\textrm{La*b*}$ (MP) || 300 || 36.31 || 41.37 || 38.92
+
|Preorder C<sub>La*b*</sub> (MP) || 300 || 36.31 || 41.37 || 38.92
 
|-
 
|-
|Preorder $C_\textrm{La*b*}$ ($P_\textrm{mean}$) || 200 || 36.20 || 41.45 || 39.03
+
|Preorder C<sub>La*b*</sub> (P<sub>mean</sub>) || 200 || 36.20 || 41.45 || 39.03
 
|-
 
|-
|Preorder $L_\textrm{La*b*}$ (MP) || 300 || 36.77 || 41.38 || 39.34
+
|Preorder L<sub>La*b*</sub> (MP) || 300 || 36.77 || 41.38 || 39.34
 
|-
 
|-
|Preorder $L_\textrm{HLS}$ (MP) || 300 || 36.65 || 41.49 || 39.59
+
|Preorder L<sub>HLS</sub> (MP) || 300 || 36.65 || 41.49 || 39.59
 
|-
 
|-
|Preorder $L_\textrm{La*b*}$ ($P_\textrm{mean}$) || 200 || 37.00 || 42.22 || 39.72
+
|Preorder L<sub>La*b*</sub> (P<sub>mean</sub>) || 200 || 37.00 || 42.22 || 39.72
 
|-
 
|-
 
|Preorder Brightness (MP) || 300 || 36.60 || 42.69 || 39.94
 
|Preorder Brightness (MP) || 300 || 36.60 || 42.69 || 39.94
 
|-
 
|-
|Preorder $L_\textrm{HLS}$ ($P_\textrm{mean}$) || 200 || 37.03 || 41.84 || 39.96
+
|Preorder L<sub>HLS</sub> (P<sub>mean</sub>) || 200 || 37.03 || 41.84 || 39.96
 
|-
 
|-
|Preorder Brightness ($P_\textrm{mean}$) || 200 || 36.41 || 43.19 || 40.40
+
|Preorder Brightness (P<sub>mean</sub>) || 200 || 36.41 || 43.19 || 40.40
 
|-
 
|-
|Shape-Graph $\GII$ (marginal) || 50 || 37.59 || 50.21 || 41.66
+
|Shape-Graph <math>\ddot{\mathcal{G}}</math> (marginal) || 50 || 37.59 || 50.21 || 41.66
 
|}
 
|}
   

Revision as of 12:32, 18 February 2014

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
    • Brightness
    • Chrominance in La*b*


Evaluation Procedure Description

Results Summary

Best Grain Size Min PSNR Max PSNR Avg. PSNR
Shape-Graph
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 (marginal) 50 37.59 50.21 41.66

Detailed Results

By images

By methods

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