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

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= Getting a morphological Tree of Shapes for mulativariate images: paths, traps, and pitfalls =
 
 
 
== 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>
   
  +
=== Distance based method ===
  +
  +
=== Graph-based method ===
   
 
== Evaluation Procedure Description==
 
== Evaluation Procedure Description==
  +
The clean dataset used for our benchmark is available [{{SERVER}}/dload/olena/resources/carlinet.14.icip/carlinet.2014.icip-dataset.tar.bz2 here], as well as the noisy version of the previous dataset ([{{SERVER}}/dload/olena/resources/carlinet.14.icip/carlinet.2014.icip-dataset-noise.tar.bz2 here]).
  +
The clean dataset used for our benchmark is available [{{SERVER}}/dload/olena/resources/carlinet.14.icip/carlinet.2014.icip-dataset.tar.bz2 here], as well as the noisy version of the previous dataset ([{{SERVER}}/dload/olena/resources/carlinet.14.icip/carlinet.2014.icip-dataset-noise.tar.bz2 here]).
   
  +
== Results Summary ==
   
  +
{| class="wikitable sortable"
  +
! !! Best Grain<br\> Size !! Min PSNR !! Max PSNR !! Avg. PSNR
  +
|-
  +
| Shape-Graph <math>\dot{\mathcal{G}}</math> || || || ||
  +
|-
  +
| Preorder C<sub>La*b*</sub> (NC) || 2 || 36.21 || 39.60 || 37.43
  +
|-
  +
|Preorder L<sub>La*b*</sub> (NC) || 5 || 36.32 || 38.43 || 37.43
  +
|-
  +
|Preorder L<sub>HLS</sub> (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 C<sub>La*b*</sub> (MP) || 300 || 36.31 || 41.37 || 38.92
  +
|-
  +
|Preorder C<sub>La*b*</sub> (P<sub>mean</sub>) || 200 || 36.20 || 41.45 || 39.03
  +
|-
  +
|Preorder L<sub>La*b*</sub> (MP) || 300 || 36.77 || 41.38 || 39.34
  +
|-
  +
|Preorder L<sub>HLS</sub> (MP) || 300 || 36.65 || 41.49 || 39.59
  +
|-
  +
|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 L<sub>HLS</sub> (P<sub>mean</sub>) || 200 || 37.03 || 41.84 || 39.96
  +
|-
  +
|Preorder Brightness (P<sub>mean</sub>) || 200 || 36.41 || 43.19 || 40.40
  +
|-
  +
|Shape-Graph <math>\ddot{\mathcal{G}}</math> (marginal) || 50 || 37.59 || 50.21 || 41.66
  +
|}
   
  +
{|
== Results Summary ==
 
  +
| [[File:Carlinet.2014.icip Flower foveon.png|frame|Original image with gaussian noise corruption. PSNR = 36.46]]
 
  +
| [[File:Carlinet.2014.icip Distancebased-flower foveon-00009.png|frame|Distance-based. <br \> λ = 9, PSNR = 37.88]]
  +
| [[File:Carlinet.2014.icip Marginal-flower foveon-00030.png|frame|Shape-graph <math>\ddot{\mathcal{G}}</math> (marginal).<br\> λ = 30, PSNR = 39.98]]
  +
|}
  +
{|
  +
| [[File:Carlinet.2014.icip Preorder-lum-nc-flower foveon-00100.png|frame|Preorder Brightness I (NC). <br\> λ = 100, PNSR = 37.24]]
  +
| [[File:Carlinet.2014.icip Preorder-lum-mp-flower foveon-00100.png|frame|Preorder Brightness I (MP), <br\> λ = 100, PSNR = 37.98]]
  +
| [[File:Carlinet.2014.icip Preorder-lum-pmean-flower foveon-00100.png|frame|Preorder Brightness I (P<sub>mean</sub>), <br \> λ = 100, PSNR = 38.23]]
  +
|}
   
 
== Detailed Results ==
 
== Detailed Results ==
=== By images ===
 
 
 
 
=== By methods ===
 
=== By methods ===
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/distancebased Distance-Based]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/distancebased Distance-Based]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/marginal Shape-Graph G<sub>2</sub>]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/marginal Shape-Graph G<sub>2</sub>]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lex-MP Order Lex]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lex-MP Order Lex]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Clab-MP Pre-order C<sub>La*b*</sub> (MP)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Clab-MP Pre-order C<sub>La*b*</sub> (MP)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Clab-NC Pre-order C<sub>La*b*</sub> (NC)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Clab-NC Pre-order C<sub>La*b*</sub> (NC)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Clab-Pmean Pre-order C<sub>La*b*</sub> (Pmean)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Clab-Pmean Pre-order C<sub>La*b*</sub> (Pmean)]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lhls-MP Pre-order L<sub>HLS</sub> (MP)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lhls-MP Pre-order L<sub>HLS</sub> (MP)]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lhls-NC Pre-order L<sub>HLS</sub> (NC)]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lhls-NC Pre-order L<sub>HLS</sub> (NC)]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lhls-Pmean Pre-order L<sub>HLS</sub> (Pmean)]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lhls-Pmean Pre-order L<sub>HLS</sub> (Pmean)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Llab-MP Pre-order L<sub>La*b*</sub> (MP)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Llab-MP Pre-order L<sub>La*b*</sub> (MP)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Llab-NC Pre-order L<sub>La*b*</sub> (NC)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Llab-NC Pre-order L<sub>La*b*</sub> (NC)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Llab-Pmean Pre-order L<sub>La*b*</sub> (Pmean)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Llab-Pmean Pre-order L<sub>La*b*</sub> (Pmean)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lum-MP Pre-order Brightness (MP)]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lum-MP Pre-order Brightness (MP)]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lum-NC Pre-order Brightness (NC)]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lum-NC Pre-order Brightness (NC)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lum-Pmean Pre-order Brightness (Pmean)]</div>
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/bymethod/preorder-grainfilter-Lum-Pmean Pre-order Brightness (Pmean)]</div>
   
  +
=== By images ===
 
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/apples2_ph-ulm apples2_ph-ulm]</div>
 
  +
<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/apples2_ph-ulm apples2_ph-ulm]</div>
{{#widget:Carlinet.2014.icip}}
 
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/clr_cubes1_ph-ulm clr_cubes1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/clr_cubes1_ph-ulm clr_cubes1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/hand hand]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/hand hand]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/paper1_ph-ulm paper1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/paper1_ph-ulm paper1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/artificial artificial]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/artificial artificial]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/clr_cubes2_ph-ulm clr_cubes2_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/clr_cubes2_ph-ulm clr_cubes2_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/hdr_mondrian_ph-ulm hdr_mondrian_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/hdr_mondrian_ph-ulm hdr_mondrian_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/paper2_ph-ulm paper2_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/paper2_ph-ulm paper2_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/ball_ph-ulm ball_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/ball_ph-ulm ball_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/clr_cubes3_ph-ulm clr_cubes3_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/clr_cubes3_ph-ulm clr_cubes3_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/hdr hdr]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/hdr hdr]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/paper_ph-ulm paper_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/paper_ph-ulm paper_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/big_building big_building]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/big_building big_building]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/clr_cubes4_ph-ulm clr_cubes4_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/clr_cubes4_ph-ulm clr_cubes4_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/iceaxe_ph-ulm iceaxe_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/iceaxe_ph-ulm iceaxe_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/plastic-1_ph-ulm plastic-1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/plastic-1_ph-ulm plastic-1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/big_tree big_tree]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/big_tree big_tree]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/clr_cubes5_ph-ulm clr_cubes5_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/clr_cubes5_ph-ulm clr_cubes5_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/jersey_ph-ulm jersey_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/jersey_ph-ulm jersey_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/plastic-2_ph-ulm plastic-2_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/plastic-2_ph-ulm plastic-2_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/blocks1_ph-ulm blocks1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/blocks1_ph-ulm blocks1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/clr_cubes6_ph-ulm clr_cubes6_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/clr_cubes6_ph-ulm clr_cubes6_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/leaves_iso_1600 leaves_iso_1600]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/leaves_iso_1600 leaves_iso_1600]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/rope_ph-ulm rope_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/rope_ph-ulm rope_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/books-1_ph-ulm books-1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/books-1_ph-ulm books-1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/copperjug_ph-ulm copperjug_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/copperjug_ph-ulm copperjug_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/leaves_iso_200 leaves_iso_200]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/leaves_iso_200 leaves_iso_200]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/shades_ph-ulm shades_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/shades_ph-ulm shades_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/books-2_ph-ulm books-2_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/books-2_ph-ulm books-2_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/cu-brass_ph-ulm cu-brass_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/cu-brass_ph-ulm cu-brass_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/macbeth_ph-ulm macbeth_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/macbeth_ph-ulm macbeth_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/sml_mondrian1_ph-ulm sml_mondrian1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/sml_mondrian1_ph-ulm sml_mondrian1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/books-3_ph-ulm books-3_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/books-3_ph-ulm books-3_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/deer deer]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/deer deer]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/madeleine madeleine]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/madeleine madeleine]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/sml_mondrian2_ph-ulm sml_mondrian2_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/sml_mondrian2_ph-ulm sml_mondrian2_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/books-4_ph-ulm books-4_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/books-4_ph-ulm books-4_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/dog_ph-ulm dog_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/dog_ph-ulm dog_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/monkey-1_ph-ulm monkey-1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/monkey-1_ph-ulm monkey-1_ph-ulm]</div>
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<div class="plainlinks">[{{SERVER}}/dload/olena/resources/carlinet.14.icip/html/byimage/spider_web spider_web]</div>
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Latest revision as of 15:57, 26 February 2014

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

The clean dataset used for our benchmark is available here, as well as the noisy version of the previous dataset (here). The clean dataset used for our benchmark is available here, as well as the noisy version of the previous dataset (here).

Results Summary

Best Grain<br\> 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
Original image with gaussian noise corruption. PSNR = 36.46
Distance-based.
λ = 9, PSNR = 37.88
Shape-graph (marginal).<br\> λ = 30, PSNR = 39.98
Preorder Brightness I (NC). <br\> λ = 100, PNSR = 37.24
Preorder Brightness I (MP), <br\> λ = 100, PSNR = 37.98
Preorder Brightness I (Pmean),
λ = 100, PSNR = 38.23

Detailed Results

By methods

By images