Signal segmentation - Example 3
See this page for an introductory overview of variational segmentation and for the definition of the terminology used hereafter.
Mumford-Shah segmentation
orph_g
black - data, g
red - segmentation, u
violet - discontinuity function, (1-σ)
Note
The discontinuity function (1-σ) is close to zero within homogeneous regions. A sharp transition to 1 appears when a discontinuity of u is detected.



Title
orph_u
black - data, g
red - segmentation, u
violet - discontinuity function, (1-σ)
yellow - discontinuity function, (1-s)
Note
The Blake-Zisserman model has been applied to this result of a Mumford-Shah segmentation of the data.

The discontinuity function (1-σ) has a sharp transition to 1 where a discontinuity of u is detected.
The discontinuity function (1-s) has a sharp transition to 1 where a discontinuity of the first derivative of u is detected.

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