Discretization errors in particle tracking

G. Carmon, N. Mamman, M. Feingold

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


High precision video tracking of microscopic particles is limited by systematic and random errors. Systematic errors are partly due to the discretization process both in position and in intensity. We study the behavior of such errors in a simple tracking algorithm designed for the case of symmetric particles. This symmetry algorithm uses interpolation to estimate the value of the intensity at arbitrary points in the image plane. We show that the discretization error is composed of two parts: (1) the error due to the discretization of the intensity, bD and (2) that due to interpolation, bI. While bD behaves asymptotically like N- 1 where N is the number of intensity gray levels, bI is small when using cubic spline interpolation.

Original languageEnglish
Pages (from-to)117-132
Number of pages16
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-2
StatePublished - 15 Mar 2007


  • Discretization errors
  • Microbeads
  • Particle tracking

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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