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

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=== Fig. 2 ===
 
=== Fig. 2 ===
   
An image (a) and its tree of shapes (b). The propagation of the level line λ ended, meaning that the nodes O and A have already been visited. The hierarchical queue contains the interior contour of B and C. Thus it can be partitioned in two sets S⁺λ</math> = ∂B and S⁻λ = ∂C. The propagation can proceed on both parts in parallel.
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An image (a) and its tree of shapes (b). The propagation of the level line λ ended, meaning that the nodes O and A have already been visited. The hierarchical queue contains the interior contour of B and C. Thus it can be partitioned in two sets S⁺λ = ∂B and S⁻λ = ∂C. The propagation can proceed on both parts in parallel.
   
 
{| class="wikitable" border="1"
 
{| class="wikitable" border="1"
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! (b) Tree of shapes
 
! (b) Tree of shapes
 
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=== Fig. 4 ===
 
=== Fig. 4 ===
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== Contact ==
 
== Contact ==
 
 
* Homepage: https://www.lrde.epita.fr/wiki/User:Theo
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* Homepage: http://www.lrde.epita.fr/wiki/User:Theo
 
* Email: [mailto:thierry.geraud@lrde.epita.fr thierry.geraud@lrde.epita.fr]
 
* Email: [mailto:thierry.geraud@lrde.epita.fr thierry.geraud@lrde.epita.fr]

Latest revision as of 14:46, 18 February 2014

Figures

Fig. 1

Sample uses of the tree of shapes.

x x‎
(a) Denoising (self-dual grain removal).
x x
(b) Shape Filtering (keep round objects).
x
x
(c) Object Detection (energy-based method).
x
x
(d) Hierarchical Segmentation (saliency-based): click on the thumbnail (right).
x
x
(e) Hierarchical Segmentation: fine (left), coarse (right).


Fig. 2

An image (a) and its tree of shapes (b). The propagation of the level line λ ended, meaning that the nodes O and A have already been visited. The hierarchical queue contains the interior contour of B and C. Thus it can be partitioned in two sets S⁺λ = ∂B and S⁻λ = ∂C. The propagation can proceed on both parts in parallel.

Crozet14icip simpleimage.png Crozet14icip simpletos.png
(a) Image (b) Tree of shapes

Fig. 4

(a) is the input image. (b) is the result of the subdivision. (c) is the result of the immersion into the Khalimsky grid. 0-faces are represented by dots, 1-faces by segments and 2-faces by squares.

Crozet14icip Immerse f.png ~ Crozet14icip Immerse f subdivided.png ~ ~ Crozet14icip Immerse f immersed.png ~
(a) Input (b) Subdivided (c) Immersed


Fig. 8

The original image (a) and the associated F^{ord} (b); the max-tree of (b) coincides with the tree of shapes of (a).

Crozet14icip Simpleimage levels.png Crozet14icip Simpleimage revalued.png
(a) Original image (b) Re-valued image


Fig. 10

Computation times (in seconds) on a classical image test set of the following algorithms: FLLT, FLST, Géraud et al., and this paper proposal.

Crozet14icip Benchwo.png


Images

Images used for the benchmarks: [1]


Source Code

  • Code of the serial version: [2]
  • Code of the parallel version: [3]
  • Code of the milena image processing library: [4]


Useful links

The Olena platform for image processing: http://olena.lrde.epita.fr (containing the Milena C++ image processing library)

Reproducible research:


Contact