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Variable Metric For Binary Vector Quantization UNIVERSITY OF JOENSUU DEPARTMENT OF COMPUTER SCIENCE JOENSUU, FINLAND Ismo Kärkkäinen and Pasi Fränti

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Distance and distortion functions Distance function: Distortion function:

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Distortion for binary data Internal distortion for one variable: q jk = the number of zeroes r jk = the number of ones C jk = the current centroid value for variable k of group j.

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Optimal centroid position Optimal centroid position depends on the metric. Given: The optimal position is:

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Proposed algorithm

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Example of centroid location

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Second example

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Test images Blockwise quantization of pixels into two levels according to the mean value of the 4x4 blocks. 4 4 pixel blocks.

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Results for Bridge

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Results for Camera

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Results for CCITT-5

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Results for DNA

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Different parameter combinations (Bridge)

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Different parameter combinations (DNA)

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