Graph Clustering, Variational Image Segmentation Methods and Hough Transform Scale Detection for Object Measurement in Images

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• 作者：Luca Calatroni ; Yves van Gennip…
• 关键词：Graph clustering ; Discrete Ginzburg–Landau functional ; Image segmentation ; Scale detection ; Hough transform
• 刊名：Journal of Mathematical Imaging and Vision
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：57
• 期：2
• 页码：269-291
• 全文大小：
• 刊物类别：Computer Science
• 刊物主题：Image Processing and Computer Vision; Applications of Mathematics; Signal,Image and Speech Processing; Mathematical Methods in Physics;
• 出版者：Springer US
• ISSN：1573-7683
• 卷排序：57

文摘

We consider the problem of scale detection in images where a region of interest is present together with a measurement tool (e.g. a ruler). For the segmentation part, we focus on the graph-based method presented in Bertozzi and Flenner (Multiscale Model Simul 10(3):1090–1118, 2012) which reinterprets classical continuous Ginzburg–Landau minimisation models in a totally discrete framework. To overcome the numerical difficulties due to the large size of the images considered, we use matrix completion and splitting techniques. The scale on the measurement tool is detected via a Hough transform-based algorithm. The method is then applied to some measurement tasks arising in real-world applications such as zoology, medicine and archaeology.