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We consider the problem of scale detection in images where a region ofinterest is present together with a measurement tool (e.g. a ruler). For thesegmentation part, we focus on the graph based method by Flenner and Bertozziwhich reinterprets classical continuous Ginzburg-Landau minimisation models ina totally discrete framework. To overcome the numerical difficulties due to thelarge size of the images considered we use matrix completion and splittingtechniques. The scale on the measurement tool is detected via a Hough transformbased algorithm. The method is then applied to some measurement tasks arisingin real-world applications such as zoology, medicine and archaeology.

Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images