<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In the present study the notion of watershed contour dynamics, defined within the framework of mathematical morphology, is examined. It is shown that the dynamics are a direct measure of the "sharpness" of transition between neighboring watershed basins. The expressions for the expected value and the statistical error of the estimation of contour dynamics are derived in the presence of noise, based on extreme value theory. The sensitivity of contour dynamics to noise is studied. A statistical approach to the notion of contour dynamics is developed and a definition of statistical dynamics is proposed.</p></abstract>

In the present study the notion of watershed contour dynamics, defined within the framework of mathematical morphology, is examined. It is shown that the dynamics are a direct measure of the "sharpness" of transition between neighboring watershed basins. The expressions for the expected value and the statistical error of the estimation of contour dynamics are derived in the presence of noise, based on extreme value theory. The sensitivity of contour dynamics to noise is studied. A statistical approach to the notion of contour dynamics is developed and a definition of statistical dynamics is proposed.

Statistical Estimation of the Dynamics of Watershed Dams

Institute of Applied Computer Science, Cracow University of Technology, al. Jana Pawła II 37, 31-864 Cracow, Poland

International Journal of Applied Mathematics and Computer Science

{"article-title":"Statistical Estimation of the Dynamics of Watershed Dams"}

In the present study the notion of watershed contour dynamics, defined within the framework of mathematical morphology, is examined. It is shown that the...

Statistical Estimation of the Dynamics of Watershed Dams

Published Online: Jul 08, 2009

Page range: 349 - 360

DOI: https://doi.org/10.2478/v10006-009-0030-6

Keywords
hierarchical segmentation, contour dynamics, mathematical morphology, statistical analysis

This content is open access.

Statistical Estimation of the Dynamics of Watershed Dams

Published Online: Jul 08, 2009

Page range: 349 - 360

DOI: https://doi.org/10.2478/v10006-009-0030-6

Keywordshierarchical segmentation, contour dynamics, mathematical morphology, statistical analysis

This content is open access.

Keywords
hierarchical segmentation, contour dynamics, mathematical morphology, statistical analysis