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Screen Ruling, Print Resolution AM, FM and Hybrid Halftoning. Sasan Gooran Linköping University LiU-Norrköping. DIGITAL IMAGES (pixel based). Scanning. Photo. Digital image. ppi (pixels per inch): Number of sample s per inch. ppi (pixels per inch).
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Screen Ruling, Print ResolutionAM, FM and Hybrid Halftoning Sasan Gooran Linköping University LiU-Norrköping
DIGITAL IMAGES (pixel based) Scanning Photo Digital image ppi (pixels per inch): Number of samples per inch
ppi (pixels per inch) • ppi (scanning resolution): Number of samples per inch • The higher ppi the better the representation of the con-tone image (Photo) • Higher ppi requires more memory • ppi should not be unncessarily high • Choice of ppi????
DIGITAL IMAGESMemory bits/pixel • Grayscale 8 256 tones • RGB 3*8=24 256^3=16.7 million colors
DIGITAL HALFTONING • Since most printers and image setters are not able to reproduce different shadows of gray the original digital image has to be transformed into an image containing white (0’s) and black (1’s)
Con-tone Halftoned Prepress Halftoning Print Image Image DIGITAL HALFTONING
DIGITAL HALFTONINGExample Periodic and clustered dots
DIGITAL HALFTONINGExample Non-periodic and dispersed dots
HALFTONE CELL Pixel (/a number of pixels) Halftone cell The fractional areacovered by the ink corresponds to the value of the pixel (or the area)
Halftone cell HALFTONE CELL Halftoned image Original image
SCREEN RULING/FREQUENCY • lpi (lines per inch): Number of halftone cells per inch • The higher lpi the better the print (?!) • High lpi requires more stable print press etc. • Does a higher lpi always lead to a better print? (to be answered later)
RULE OF THUMB Ex. A 10 x 15 cm2 photo that is supposed to be 20 x 30 cm2 when printed at 150 lpihas to be scanned with a ppi about 2*2*150 = 600.
Micro dot HALFTONE CELL dpi: Number of micro dots per inch This halftone cell represents at most 82 + 1= 65 graytones
HALFTONE CELL Screen ruling: number of halftone cells per inch (lpi) Micro dot Resolution: number of micro dots per inch (dpi) Halftone cell In this case: 17 gray tones
lpi & dpi • lpi: Number of halftone cells per inch • A halftone cell consists of micro dots • dpi: Number of micro dots per inch • The ratio dpi/lpi decidesthe size of the halftone cell
lpi & dpi(Example) • Assume that dpi is fixed at 600 • lpi = 150 only gives 17 gray tones • lpi = 100 only gives 37 gray tones • lpi = 50 gives 145 gray tones • Does a higher lpi always lead to a better print?Not necessarily!
Low lpi, more gray tones but large halftone dots, (not satisfying)
AM & FM HALFTONING • AM (Amplitude Modulated) • The size of the dots is variable, their frequency is constant • FM (Frequency Modulated) 1st generation • The size of the dots is constant, their frequency varies • FM (Frequency Modulated) 2nd generation • The size of the dots and their frequency vary
FM, 1st FM, 2nd AM AM & FM (1st & 2nd Generation) Halftone
AM & FM Halftone AM FM
FM Halftone, 1st and 2nd generation First Second
FM_2 FM_1 Hybrid Halftoning AM
THRESHOLDING g and b are the original and the halftoned image, respectively. t is the threshold matrix.
0.6 1 0.1 0.3 0.2 0 Original Image Threshold matrix Halftoned image THRESHOLDING This threshold matrix represents 10 gray tones
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 THRESHOLD MATRIXExample: Line
1 2 3 4 12 13 14 5 11 16 15 6 10 9 8 7 THRESHOLD MATRIXExample: Spiral
14 12 13 16 19 21 20 17 5 4 3 10 28 29 30 23 6 1 2 11 27 32 31 22 9 7 8 15 24 26 25 1819 21 20 17 14 12 13 16 28 29 30 23 5 4 3 10 27 32 31 22 6 1 2 11 24 26 25 18 9 7 8 15 1 30 8 28 2 29 7 2717 9 24 16 18 10 23 15 5 25 3 32 6 26 4 3121 13 19 11 22 14 20 12 2 29 7 27 1 30 8 28 18 10 23 15 17 9 24 16 6 26 4 31 5 25 3 32 22 14 20 12 21 13 19 11 THRESHOLD MATRIXClustered & Dispersed, 45 degrees Clustered Dispersed
0.6 Mean 0.2 0 Original Image Halftoned image TABLE HALFTONING
TABLE HALFTONING Dispersed Clustered
0.3 Threshold 0.5 0.7 error-Filter Original image Halftoned Image 7 (*1/16) 3 5 1 FM HALFTONINGError Diffusion
COLOR PRINT Additive color mixing, TV, Computer screen
COLOR PRINT Subtractive color mixing, Printers
Three primary colors COLOR PRINT • CYAN (C) • MAGENTA (M) • YELLOW (Y)
Three secondary colors And Black COLOR PRINT • RED (R,MY) • GREEN (G, CY) • BLUE (B, CM) • BLACK (K, CMY)
COLOR PRINT Original
COLOR PRINT AM
COLOR PRINT FM
ConventionalColorHalftoningSame raster angle Error in position can cause color shift