Morphological Analysis of Brownian Motion for Physical Measurements

From LRDE

Abstract

Brownian motion is a well-known, apparently chaotic mo- tion affecting microscopic objects in fluid media. The mathematical and physical basis of Brownian motion have been well studied but not often exploited. In this article we propose a particle tracking methodology based on mathematical morphology, suitable for Brownian motion analysis, which can provide difficult physical measurements such as the local temperature and viscosity. We illustrate our methodology on simulation and real data, showing that interesting phenomena and good precision can be achieved.

Documents

Bibtex (lrde.bib)

@InProceedings{	  puybareau.17.ismm,
  author	= {{\'E}lodie Puybareau and Hugues Talbot and Noha Gaber and
		  Tarik Bourouina},
  title		= {Morphological Analysis of Brownian Motion for Physical
		  Measurements},
  booktitle	= {Mathematical Morphology and Its Application to Signal and
		  Image Processing -- Proceedings of the 13th International
		  Symposium on Mathematical Morphology (ISMM)},
  year		= {2017},
  editor	= {J. Angulo and S. Velasco-Forero and F. Meyer},
  volume	= {10225},
  series	= {Lecture Notes in Computer Science},
  pages		= {486-497},
  month		= may,
  address	= {Fontainebleau, France},
  publisher	= {Springer},
  abstract	= {Brownian motion is a well-known, apparently chaotic mo-
		  tion affecting microscopic objects in fluid media. The
		  mathematical and physical basis of Brownian motion have
		  been well studied but not often exploited. In this article
		  we propose a particle tracking methodology based on
		  mathematical morphology, suitable for Brownian motion
		  analysis, which can provide difficult physical measurements
		  such as the local temperature and viscosity. We illustrate
		  our methodology on simulation and real data, showing that
		  interesting phenomena and good precision can be achieved.}
}