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

From LRDE

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== Method Description ==
 
== Method Description ==
=== (pre)order based methods ===
+
=== (Pre)order based methods ===
 
Colors are reduced to scalar value that defines an ordering to compute the Tree of Shapes. We have tested
 
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.
 
different pre-order on several color space, as well as several restitution rules.
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** Chrominance in La*b* <math> C = \sqrt{a^2 + b^2} </math>
 
** Chrominance in La*b* <math> C = \sqrt{a^2 + b^2} </math>
   
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=== Distance based method ===
  +
  +
=== Graph-based method ===
   
 
== Evaluation Procedure Description==
 
== Evaluation Procedure Description==

Revision as of 14:09, 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*

Distance based method

Graph-based method

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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