Bit allocation in piecewise-planar representation of images

Nahum Kiryati, Alfred M. Bruckstein, Amnon Jonas

Research output: Contribution to journalArticlepeer-review


It is customary to represent an analog image in digital form by dividing its support into pixels, and within each pixel to represent the brightness by a quantized scalar, i.e., to approximate the 2-D image function by a horizontal plane. A representation scheme in which the image function is approximated within a pixel by a sloped plane, given in terms of the average and the slopes in both spatial coordinates, is considered. The problem of optimal bit allocation for the mean and the slope coefficients is studied for deterministic images and for samples of 2-D random processes with known autocorrelation functions. Similar results are available for the 1-D case.

Original languageEnglish
Pages (from-to)52-58
Number of pages7
JournalJournal of Visual Communication and Image Representation
Issue number1
StatePublished - Mar 1995
Externally publishedYes


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