Digital halftoning with dots representing a spiral
A halftone raster image, suitable for rendering a continuous-tone image, which comprises a plurality of dots, arranged according a screen ruling and screen angle. Said dots comprise (i) image pixels arranged as a first arc or as a plurality of arcs which together represent a first spiral, and (ii) non-image pixels arranged as a second arc or as a plurality of arcs which together represent a second spiral. Small displacements of the feed point of said dots away from the theoretical centre of a halftone dot, defined by said screen ruling and screen angle, enable a higher image quality and less patterns in said halftone raster image.
1. A lithographic printing plate comprising a halftone raster image for creating an illusion of a continuous-tone image, the halftone raster image comprising a plurality of halftone dots each arranged within a halftone cell according to a screen frequency and a screen angle, the halftone dots comprising: a first spiral comprising a feed point ( 1003 , 2003 ), and comprising one or more arcs comprising image pixels; and a second spiral comprising one or more second arcs comprising non-image pixels;
wherein the screen frequency and the screen angle define theoretical centers of gravity of the halftone dots, and a first feed point of a first halftone dot of the plurality of halftone dots is positionally displaced from its theoretical center of gravity by a length of a phase vector and an angle of the phase vector,
wherein the first spiral defines ink accepting areas and the second spiral defines water accepting areas.
2. A method of making the lithographic printing plate of claim 1 , the method comprising the steps of
(i) making the halftone raster image for creating an illusion of the continuous-tone image, the halftone raster image comprising the plurality of halftone dots each arranged within the halftone cell according to the screen frequency and the screen angle, the halftone dots comprising:
a first spiral comprising a feed point ( 1003 , 2003 ), and comprising one or more arcs comprising image pixels; and a second spiral comprising one or more second arcs comprising non-image pixels;
wherein the screen frequency and the screen angle define theoretical centers of gravity of the halftone dots, and a first feed point of a first halftone dot of the plurality of halftone dots is positionally displaced from its theoretical center of gravity by a length of a phase vector and an angle of the phase vector, and
(ii) exposing the halftone raster image on a printing plate precursor.
3. A flexographic printing plate comprising a halftone raster image for creating an illusion of a continuous-tone image, the halftone raster image comprising a plurality of halftone dots each arranged within a halftone cell according to a screen frequency and a screen angle, the halftone dots comprising: a first spiral comprising a feed point ( 1003 , 2003 ), and comprising one or more arcs comprising image pixels; and a second spiral comprising one or more second arcs comprising non-image pixels:
wherein the screen frequency and the screen angle define theoretical centers of gravity of the halftone dots, and the first feed point of a first halftone dot of the plurality of halftone dots is positionally displaced from its theoretical center of gravity by a length of a phase vector and an angle of the phase vector, wherein the first spiral defines ink accepting areas.
4. A method of making the flexographic printing plate of claim 3 , the method comprising the steps of (i) making the halftone raster image for creating an illusion of the continuous-tone image, the halftone raster image comprising the plurality of halftone dots each arranged within a halftone cell according to the screen frequency and the screen angle, the halftone dots comprising: the first spiral comprising the feed point ( 1003 , 2003 ), and comprising one or more arcs comprising image pixels; and the second spiral comprising one or more second arcs comprising non-image pixels;
wherein the screen frequency and the screen angle define theoretical centers of gravity of the halftone dots, and the first feed point of a first halftone dot of the plurality of halftone dots is positionally displaced from its theoretical center of gravity by a length of a phase vector and an angle of the phase vector, and (ii) exposing the halftone raster image on a printing plate precursor.
5. A method of transforming a continuous-tone image into a halftone raster image for creating an illusion of a continuous-tone image, the halftone raster image comprising a plurality of halftone dots each arranged within a halftone cell according to a screen frequency and a screen angle, the halftone dots comprising: a first spiral comprising a feed point ( 1003 , 2003 ), and comprising one or more arcs comprising image pixels; and a second spiral comprising one or more second arcs comprising non-image pixels;
wherein the screen frequency and the screen angle define theoretical centers of gravity of the halftone dots, and a first feed point of a first halftone dot of the plurality of halftone dots is positionally displaced from its theoretical center of gravity by a length of a phase vector and an angle of the phase vector, wherein the first arc, the first spiral, the second arc, and the second spiral each have a length and/or a thickness which is determined by local densities of the continuous-tone image, the method comprising the step of transforming the continuous-tone image into the halftone raster image by means of at least one threshold tile, and the halftone raster image comprises highlights and midtones, and a number of image pixels in the highlights and midtones grows by increasing the length and/or the thickness of the first arc or the first spiral; and/or the halftone raster image comprises shadows, and a second number of image pixels grows in the shadows by decreasing the length and/or thickness of the second arc or the second spiral.
6. The method of claim 5 , wherein the length of the phase vector and/or the angle of the phase vector is determined randomly.
7. The method of claim 6 , wherein the first spiral is a space filling curve inside the halftone cell.
8. The method of claim 6 , wherein at least two halftone dots of the plurality of halftone dots have a different start angle for their first spiral.
9. The method of claim 6 , wherein the second arc or the second spiral is open-ended.
10. The method of claim 6 , wherein the halftone dots are regularly tiled with a distance of about 50 μm to about 400 μm between the feed points ( 1003 , 2003 ) of neighboring halftone dots.
11. The method of claim 6 , further comprising shadows comprising an additional one or more clustered halftone dots comprising non-image pixels.
12. The method of claim 6 , wherein the first spiral is generated with a Gielis super formula.
13. A method of making a printing plate comprising the steps of (i) transforming a continuous-tone image to a halftone raster image by the method of claim 5 and (ii) exposing the halftone raster image on a printing plate precursor.