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Variable Metric For Binary Vector Quantization UNIVERSITY OF JOENSUU DEPARTMENT OF COMPUTER SCIENCE JOENSUU, FINLAND Ismo Kärkkäinen and Pasi Fränti
Distance and distortion functions Distance function: Distortion function:
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.
Optimal centroid position Optimal centroid position depends on the metric. Given: The optimal position is:
Example of centroid location
Test images Blockwise quantization of pixels into two levels according to the mean value of the 4x4 blocks. 4 4 pixel blocks.
Results for Bridge
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Different parameter combinations (Bridge)
Different parameter combinations (DNA)
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