Measuring empirical discrepancy in image segmentation results

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Measuring empirical discrepancy in image segmentation results

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A methodology for comparison of boundary and segmentation images based on Precision–Recall graphs is presented in this study. The proposed methodology compares the location of edge pixels between an image under test and an ideal reference, in order to obtain a precise normalised similarity measure. This approach also deals with the case when multiple references are available using a merging procedure. Small displacement errors in edge pixel location are handled using a tolerance radius, which introduces the problem of multiple matching between test and reference edge pixels. This problem is addressed as a bipartite graph, solved by using the Hopcroft–Karp algorithm to obtain the maximum number of unique matchings. Experiments have been carried out in order to determine the performance of this evaluation approach.

Inspec keywords: image segmentation; image matching; graph theory

Other keywords: image segmentation; merging procedure; Hopcroft-Karp algorithm; edge pixels; precision-recall graphs; bipartite graph; displacement errors; empirical discrepancy measurement

Subjects: Combinatorial mathematics; Combinatorial mathematics; Computer vision and image processing techniques; Optical, image and video signal processing

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