Multi-modal gray-level histogram modeling and decomposition

Jeng Horng Chang, Kuo Chin Fan, Yang Lang Chang

Research output: Contribution to journalArticlepeer-review

55 Scopus citations


In this paper, we present a novel multi-modal histogram thresholding method in which no a priori knowledge about the number of clusters to be extracted is needed. The proposed method combines regularization and statistical approaches. By converting the approaching histogram thresholding problem to the mixture Gaussian density modeling problem, threshold values can be estimated precisely according to the parameters belonging to each contiguous cluster. Computational complexity has been greatly reduced since our method does not employ conventional iterative parameter refinement. Instead, an optimal parameter estimation interval was defined before the estimation procedure. This predefined optimal estimation interval reduces time consumption while other histogram decomposition based methods search all feature space to locate an estimation interval for each candidate cluster. Experimental results with both simulated data and real images demonstrate the robustness of our method.

Original languageEnglish
Pages (from-to)203-216
Number of pages14
JournalImage and Vision Computing
Issue number3
StatePublished - 1 Mar 2002


  • Gaussian mixture density
  • Histogram decomposition
  • Image thresholding
  • Multi-modal histogram analysis
  • Parameter estimation


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