Estimating the Duration of Overlapping Events from Image Sequences Using Cylindrical Temporal Boolean Models

  • Authors:
  • María Elena Díaz;Guillermo Ayala;Ester Díaz

  • Affiliations:
  • Computer Science Department, University of Valencia, Burjasot, Spain 46100;Departamento de Estadística e Investigación Operativa, University of Valencia, Burjasot, Spain 46100;Computer Science Department, University of Valencia, Burjasot, Spain 46100

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2010

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Abstract

Recent advances in microscopy jointly to the development of fluorescent probes have enabled to image dynamic processes with very high spatial-temporal resolution, for instance in Cell Biology. In some applications, the segmented areas associated with different events overlap spatially and temporally forming random clumps. In order to study the shape-size features and durations of the events, it is a usual practice to analyze only isolated episodes. However, this sample is biased, because faster and smaller events tend to be isolated. We model the images as a realization of a cylindrical temporal Boolean model. We evaluate the bias introduced when ruling out non-isolated episodes. We propose an estimator of the duration distribution and perform a simulation study to assess its accuracy. The method is applied to fluorescent-tagged proteins image sequences. Results show that this procedure is effective for analyzing dynamic processes where spatial and temporal overlapping occurs.