Publications/xu.15.prl.inc

Materials

Mumford-Shah Simplification on the Color Tree of Shapes

You can download the x86_64 binary to compute the Mumford-Shah simplification running on the color tree of shapes Here.

Usage: ./mumford_shah_on_ctos input[rgb] α₀ α₁ λ output[rgb]
α₀	Grain filter size before merging trees (0 to disable)
α₁	Grain filter size on the color ToS (0 to disable)
λ	Mumford-shah regularisation weight (e.g. 5000)

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  Input RGB Image

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  Output Simplified Image

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  Input RGB Image

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  Output Simplified Image

Saliency Map Computation Relying on Mumford-Shah-Salient Level Line Selection

You can download the x86_64 binary to compute the saliency map representing hierarchical image simplification and segmentation Here. This application outputs the saliency map as a float image. The simplification and segmentation result can be obtained by thresholding this float image. Note that the image is twice as big has the original one and has a border for topogical and algorithmic purposes. Thus, any pixel with coordinates (x,y) in the original image is now at coordinates (2*(x+1), 2*(y+1)) in the saliency map.

Usage: ./saliency_map_mumford_ctos input[rgb] α₀ α₁ output[float]
α₀	Grain filter size before merging trees (0 to disable)
α₁	Grain filter size on the color ToS (0 to disable)

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  Input RGB Image

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  Saliency map

Illustrations

Natural image simplification with the Mumford-Shah functional optimized on the MToS

The method minimizes the Mumford-Shah cartoon model constrained by the tree topology. It removes nodes from the tree until the energy doest not decrease anymore. The tests were performed on the Weizmann database. Some samples are given below and full results are available in this archive.

• Top: original images. Bottom: simplified images.
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