Implementing the Region Growing Method. Part 1: The Piecewise Constant Case

Jorge M. Martin · 2002

In this report, we illustrate how one can implement the Region Growing method for minimizing the simplified Mumford and Shah functional in dimension 2, for single- and multichannel-data in the piecewise constant setting. For completeness, we include the theory that shows how to obtain the piecewise approximations in general and the form of the General Merging criterion used in the Region Growing method. We describe in detail the Matlab functions used in the implementation and include the listings of the programs for reference. Thus, this report also serves as documentation for the two-dimensional, piecewise constant program in the single and multichannel settings.

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