Σ-Δ Background subtraction and the Zipf law

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Abstract

The Σ-Δ background estimation is a simple non linear method of background subtraction based on comparison and elementary increment/decrement. We propose here some elements of justification of this method with respect to statistical estimation, compared to other recursive methods: exponential smoothing, Gaussian estimation. We point out the relation between the Σ-Δ estimation and a probabilistic model: the Zipf law. A new algorithm is proposed for computing the background/foreground classification as the pixel-level part of a motion detection algorithm. Comparative results and computational advantages of the method are commented.

Original languageEnglish
Title of host publicationProgress in Pattern Recognition, Image Analysis and Applications - 12th Iberoamerican Congress on Pattern Recognition, CIARP 2007, Proceedings
Pages42-51
Number of pages10
Publication statusPublished - 1 Dec 2007
Event12th Iberoamerican Congress on Pattern Recognition, CIARP 2007 - Vina del Mar-Valparaiso, Chile
Duration: 13 Nov 200716 Nov 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4756 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference12th Iberoamerican Congress on Pattern Recognition, CIARP 2007
Country/TerritoryChile
CityVina del Mar-Valparaiso
Period13/11/0716/11/07

Keywords

  • Background subtraction
  • Image processing
  • Motion detection
  • Vector data parallelism
  • Σ-Δ modulation

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