Method for the adaptive quantization of a range of input values

Image analysis – Pattern recognition – Classification

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382270, 382271, 36472410, 36471504, G06K 962

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active

055598994

ABSTRACT:
A method for the adaptive quantization of the range of input values on the basis of the histogram method for estimating density. Input values are read-in and assigned to a quantization of the range of input values. From the distribution of the input values, a density-estimate function is determined which is transformed into a monotonically rising mapping function. The range of values of the mapping function is divided into equally sized sub-ranges which are translated into corresponding partitions in the range of input values. A new quantization of the range of input values is achieved which distributes the limited number of partitions so that a large number of small partitions are assigned to ranges of large fluctuations in the input-value distribution, and a small number of large partitions are assigned to ranges of small fluctuations in the input-value distribution.

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R. Sedgewick, Algorithms, 2d ed., Addison-Wesley Publishing Co., 1988, pp. 202-212.
D. Freedman, et al., "On the Histogram as a Density Estimator: L.sub.2 Theory", Journal of Probility Theory and Related Fields 57, 1981, pp. 453-476.
K. E. Willard, et al., "Nonparametric Probability Density Estimation Improvements to the Histogram for Laboratory Data", Computers And Biomedical Research 25, 1992, pp. 17-28.

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