The conventional method for sending halftone images via facsimile mach
ines is inefficient The previously proposed ToneFac algorithm improves
the transmission of halftone images. ToneFac represents a halftone im
age by mean gray values of the disjoint blocks and an error image, whi
ch records the difference between the desired halftone and the halfton
e generated using the mean gray values. To improve on ToneFac, we prop
ose additional processing techniques: searching for the error-minimizi
ng gray value for each block; quantization and coding of block values;
bit switching, which transforms the error image into a more compressi
ble image; optimal block sizing; and spurious dot filtering, which rem
oves perceptually insignificant dots. The new algorithm is compared to
other methods, including adaptive arithmetic coding, and is shown to
provide improvement in bit rate. A theoretical consideration of the co
mpression ratio from the ToneFac algorithm is also given. (C) 1996 SPI
E and IS&T.