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US5684932A Expired / Lapsed US ⏱️ 0.0 years remaining

Method and apparatus for dither array generation to reduce artifacts in halftoned image data utilizing ink reduction processing

Assignee: Seiko Epson Corp
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Filing: 1994-10-11
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Granted: 1997-11-04
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Expires: 2014-10-11
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Abstract

Abstract An image preprocessing method and apparatus processes image data line-by-line using an error diffusion or dithering process to generate a halftoned image in which the radius of a dot representing a pixel is /dpi≦r≦√2/dpi The method and apparatus selectively performs the halftone process on every other pixel to reduce in consumption and computation time while maintaining a high resolution.

Inventors

  • 👤 Joseph S. Shu

Bibliographic Details

Application Number —
Jurisdiction US
Data Source google_patents
Last Synchronized 2026-11-09 15:22
CPC Classifications
H; H04; H04N; H04N1/00; H04N1/40; H04N1/405; H04N1/4051

Claims Analysis

Total Claims: 37
Claim 1
Independent Claim 279 words
Apparatus for generating a dither array for halftone image generation of every other pixel of n×m pixel data representing an image, n and m being positive integers, the every other pixels comprising n/2×m pixels, by a printing device, the printing device for outputting a matrix of dots representing an image, each of the dots being oversized with relation to the outputted matrix, the apparatus comprising: prototype apparatus for generating a prototype gray pattern comprising a two-dimensional array of k×l elements, each element comprising an equal constant value wherein k and l are positive integers and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; error diffusion, apparatus responsive to the prototype gray pattern for applying an error diffusion halftoning process to the prototype gray pattern to generate a starting binary pattern comprising a two-dimensional k×l array of binary numbers having one of a first value and a second value, and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; homogenizing apparatus responsive to the starting binary pattern for locating clusters of first-value binary numbers and voids between first-value binary numbers and homogenizing the starting binary pattern to generate an initial binary pattern by repetitively moving first-value binary numbers from the clusters to the voids; oversize adjusting means, responsive to the starting binary pattern, for generating a starting gray pattern in accordance with the oversized dots; initial gray pattern generating means for generating an initial gray pattern in response to the starting gray pattern; and assignment apparatus responsive to the initial binary pattern and the initial gray pattern for assigning threshold numbers to generate the improved dither array.
Claim 2
Dependent Claim 279 words
Apparatus for generating a dither array for halftone image generation of every other pixel of n×m pixel data representing an image, n and m being positive integers, the every other pixels comprising n/2×m pixels, by a printing device, the printing device for outputting a matrix of dots representing an image, each of the dots being oversized with relation to the outputted matrix, the apparatus comprising: prototype apparatus for generating a prototype gray pattern comprising a two-dimensional array of k×l elements, each element comprising an equal constant value wherein k and l are positive integers and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; error diffusion, apparatus responsive to the prototype gray pattern for applying an error diffusion halftoning process to the prototype gray pattern to generate a starting binary pattern comprising a two-dimensional k×l array of binary numbers having one of a first value and a second value, and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; homogenizing apparatus responsive to the starting binary pattern for locating clusters of first-value binary numbers and voids between first-value binary numbers and homogenizing the starting binary pattern to generate an initial binary pattern by repetitively moving first-value binary numbers from the clusters to the voids; oversize adjusting means, responsive to the starting binary pattern, for generating a starting gray pattern in accordance with the oversized dots; initial gray pattern generating means for generating an initial gray pattern in response to the starting gray pattern; and assignment apparatus responsive to the initial binary pattern and the initial gray pattern for assigning threshold numbers to generate the improved dither array.
Claim 3
Dependent Claim 107 words
Apparatus for generating a dither array according to claim 1, wherein the said homogenizing apparatus comprises: a first apparatus responsive to the starting binary pattern for adding correction amounts to each second-value binary number that borders a first-value binary number in order to create the starting gray pattern which corrects for overlap of printing dots used by the printing device; and a second apparatus responsive to the starting gray pattern for locating clusters of first-value binary numbers and voids between first-value binary numbers and homogenizing the starting gray pattern to generate the initial gray pattern by repetitively moving first-value binary numbers from the clusters to the voids.
Claim 4
Dependent Claim 49 words
Apparatus for generating a dither array according to claim 2, wherein said assignment apparatus is responsive to the initial binary pattern and to the initial gray pattern for sequentially assigning threshold numbers to each of the binary numbers in the initial binary pattern to generate the improved dither array.
Claim 5
Dependent Claim 141 words
Apparatus for generating a dither array according to claim 2, wherein said assignment apparatus comprises: a first Gaussian filter responsive to the initial gray pattern for locating a center first-value element in a cluster of first-value binary numbers; a second Gaussian filter responsive to the initial gray pattern for locating a center second-value element in a void between first value binary numbers; a first mechanism for replacing the number in the initial the initial binary pattern at a location corresponding to the center first-value element with a second-value number; a second mechanism for replacing the number in the initial binary pattern at a location corresponding to the center second-value element with a first-value number to generate a new initial binary pattern; and means for assigning a threshold number in the dither array to a location corresponding to the center first-value element.
Claim 6
Dependent Claim 37 words
Apparatus for generating a dither array according to claim 4, wherein said oversize adjusting means adds correction amounts to each second-value binary number that borders a first-value binary number in order to create the starting gray pattern.
Claim 7
Dependent Claim 61 words
Apparatus for generating a dither array according to claim 2, wherein the correction amounts comprise: a first correction amount for correcting for dot overlap in a horizontal and a vertical direction; a second correction amount for correcting for dot overlap in a diagonal direction; and a third correction amount for correcting for dot overlap caused by overlap of two adjacent dots.
Claim 8
Dependent Claim 37 words
Apparatus for generating a dither array according to claim 1, wherein said homogenizing apparatus comprises a Gaussian filter responsive to the starting binary pattern for locating clusters of first-value binary numbers and voids between first-value binary numbers.
Claim 9
Dependent Claim 103 words
Apparatus for generating a dither array according to claim 1, wherein said error diffusion means comprises: a comparator responsive to the prototype gray pattern for comparing the number in each of the elements in the prototype gray pattern to a predetermined threshold number to generate an output binary value; error generation apparatus responsive to the output binary value and to the constant value for generating an error value; filter apparatus responsive to the error value for generating a plurality of error diffusion values; and a mechanism for applying the error diffusion values to the number in selected elements of the prototype gray pattern.
Claim 10
Dependent Claim 36 words
The apparatus according to claim 1, wherein each of the pixels comprises a corresponding dot having a radius r in the range of /dpi≦r≦√2/dpi, and dpi is a resolution of the pixels in dots per inch.
Claim 11
Independent Claim 203 words
A method for generating a dither array for halftone image generation of every other pixel of an n×m pixel data representing an image, n and m being positive integers, the every other pixels comprising n/2×m pixels, by a printing device, the method comprising the steps of: A. generating a prototype gray pattern comprising a two-dimensional array of elements, each element comprising a number having a constant value wherein k and l are positive integers and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; B. applying an error diffusion halftoning process to the prototype gray pattern to generate a starting binary pattern comprising a two-dimensional k×l array of binary numbers each having one of a first value and a second value, wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; C. generating an initial binary pattern in response to the starting binary pattern; D. adjusting the starting binary pattern to compensate for oversized dots to generate a starting gray pattern; E. generating an initial gray pattern in response to the starting binary pattern; and F. generating the dither array in accordance with the initial binary pattern and the initial gray pattern.
Claim 12
Independent Claim 203 words
A method for generating a dither array for halftone image generation of every other pixel of an n×m pixel data representing an image, n and m being positive integers, the every other pixels comprising n/2×m pixels, by a printing device, the method comprising the steps of: A. generating a prototype gray pattern comprising a two-dimensional array of elements, each element comprising a number having a constant value wherein k and l are positive integers and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; B. applying an error diffusion halftoning process to the prototype gray pattern to generate a starting binary pattern comprising a two-dimensional k×l array of binary numbers each having one of a first value and a second value, wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; C. generating an initial binary pattern in response to the starting binary pattern; D. adjusting the starting binary pattern to compensate for oversized dots to generate a starting gray pattern; E. generating an initial gray pattern in response to the starting binary pattern; and F. generating the dither array in accordance with the initial binary pattern and the initial gray pattern.
Claim 13
Dependent Claim 58 words
A method for generating a a dither array according to claim 10, wherein step D comprises the step of: D1. adding correction amounts in the-starting binary pattern to each second-value binary number that borders a first-value binary number in order to create the starting gray pattern which corrects for overlap of printing dots used by the printing device.
Claim 14
Dependent Claim 70 words
A method for generating a dither array according to claim 11, wherein step D1 comprises the steps of: D1a. adding a first correction amount for correcting for dot overlap in a horizontal and a vertical direction; D1b. adding a second correction amount for correcting for dot overlap in a diagonal direction; and D1c. adding a third correction amount for correcting for dot overlap caused by overlap of two adjacent dots.
Claim 15
Dependent Claim 93 words
A method for generating a dither array according to claim 10, wherein step B comprises the steps of: B1. comparing the number in each of the elements in the prototype gray pattern to a predetermined threshold number to generate an output binary value; B2. generating an error responsive to the output binary value and to the constant value for generating an error value; B3. generating a plurality of error diffusion values from the error value; and B4. applying the error diffusion values to the number in selected elements of the prototype gray pattern.
Claim 16
Dependent Claim 36 words
The method according to claim 10, wherein each of the pixels comprises a corresponding dot having a radius r in the range of 1/dpi≦r≦√2/dpi, and dpi is a resolution of the pixels in dots per inch.
Claim 17
Dependent Claim 34 words
A method for generating an improved dither array according to claim 10, wherein steps D and F comprises the initial binary pattern and the initial gray pattern, respectively, using a void and cluster process.
Claim 18
Independent Claim 226 words
A method for generating a dither array for halftone image generation of every other pixel of an n×m pixel data representing an image, n and m being positive integers, the every other pixel comprising n/2×m pixels by a printing device, the method comprising the steps of: A. generating a prototype gray pattern comprising a two-dimensional array of k×l elements, each element comprising a number having an equal constant value wherein k and l are positive integers and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; B. applying an error diffusion halftoning process to the prototype gray pattern to generate a starting binary pattern comprising a two-dimensional array of binary numbers having one of a first value and a second value; C. locating clusters of first-value binary numbers and voids between first-value binary numbers in the starting binary pattern and homogenizing the starting binary pattern to generate an initial binary pattern by repetitively moving first value binary numbers from the clusters to the voids; D. adjusting the starting binary pattern to compensate for oversized dots to generate a starting gray pattern; E. homogenizing the starting gray pattern to generate an initial gray pattern; and F. assigning threshold numbers to each of the binary numbers in the initial binary pattern and the initial gray pattern to generate the improved dither array.
Claim 19
Independent Claim 226 words
A method for generating a dither array for halftone image generation of every other pixel of an n×m pixel data representing an image, n and m being positive integers, the every other pixel comprising n/2×m pixels by a printing device, the method comprising the steps of: A. generating a prototype gray pattern comprising a two-dimensional array of k×l elements, each element comprising a number having an equal constant value wherein k and l are positive integers and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; B. applying an error diffusion halftoning process to the prototype gray pattern to generate a starting binary pattern comprising a two-dimensional array of binary numbers having one of a first value and a second value; C. locating clusters of first-value binary numbers and voids between first-value binary numbers in the starting binary pattern and homogenizing the starting binary pattern to generate an initial binary pattern by repetitively moving first value binary numbers from the clusters to the voids; D. adjusting the starting binary pattern to compensate for oversized dots to generate a starting gray pattern; E. homogenizing the starting gray pattern to generate an initial gray pattern; and F. assigning threshold numbers to each of the binary numbers in the initial binary pattern and the initial gray pattern to generate the improved dither array.
Claim 20
Dependent Claim 36 words
The method according to claim 16, wherein each of the pixels comprises a corresponding dot having a radius r in the range of /dpi≦r≦√2/dpi, and dpi is a resolution of the pixels in dots per inch.
Claim 21
Independent Claim 223 words
An apparatus for generating a dither array for halftone image generation of every other pixel, i×j representing an image, i and j being positive integers, the every other pixels comprising i/2×j pixels, by an output device, the output device for outputting a matrix of dots representing an image, each of the dots being oversized with relation to the outputted matrix, the apparatus comprising: gray pattern generation means for generating a prototype gray pattern matrix comprising m×n elements, wherein m and n are each positive integers, wherein each of the m×n elements comprise equal predetermined values and wherein each of the m×n elements is in corresponding relation to only the i/2×j pixels; error diffusion means for performing error diffusion processing on the gray pattern matrix to form a starting binary pattern comprising m×n elements, each of the m×n elements comprising one of a first value and a second value; initial binary pattern generating means for generating an initial binary pattern in response to the starting binary pattern; oversize adjusting means, responsive the starting binary pattern, for generating a starting gray pattern in accordance the oversized dots; initial gray pattern generating means for generating an initial gray pattern in response to the starting gray pattern; and assigning means for generating the dither array in accordance with the initial binary pattern and the initial gray pattern.
Claim 22
Independent Claim 223 words
An apparatus for generating a dither array for halftone image generation of every other pixel, i×j representing an image, i and j being positive integers, the every other pixels comprising i/2×j pixels, by an output device, the output device for outputting a matrix of dots representing an image, each of the dots being oversized with relation to the outputted matrix, the apparatus comprising: gray pattern generation means for generating a prototype gray pattern matrix comprising m×n elements, wherein m and n are each positive integers, wherein each of the m×n elements comprise equal predetermined values and wherein each of the m×n elements is in corresponding relation to only the i/2×j pixels; error diffusion means for performing error diffusion processing on the gray pattern matrix to form a starting binary pattern comprising m×n elements, each of the m×n elements comprising one of a first value and a second value; initial binary pattern generating means for generating an initial binary pattern in response to the starting binary pattern; oversize adjusting means, responsive the starting binary pattern, for generating a starting gray pattern in accordance the oversized dots; initial gray pattern generating means for generating an initial gray pattern in response to the starting gray pattern; and assigning means for generating the dither array in accordance with the initial binary pattern and the initial gray pattern.
Claim 23
Dependent Claim 36 words
The apparatus according to claim 18, wherein each of the pixels comprises a corresponding dot having a radius r in the range of 1/dpi≦r≦√2/dpi, and dpi is a resolution of the pixels in dots per inch.
Claim 24
Dependent Claim 35 words
The apparatus of claim 18, wherein said initial binary pattern generating means generates the initial binary pattern and the initial gray pattern generating means generates the initial gray pattern using a void and cluster process.
Claim 25
Dependent Claim 42 words
The apparatus of claim 18, wherein said oversize adjusting means adds correction amounts to each one of the m×n elements comprising the second value that borders one of the m×n elements that comprises the first value to create the starting gray pattern.
Claim 26
Dependent Claim 56 words
The apparatus of claim 21, wherein the correction amounts comprise: a first correction amount for correcting for dot overlap and a horizontal and a vertical direction; a second correction amount for correcting for dot overlap in a diagonal direction; and a third correction amount for correcting for dot overlap caused by overlap of two adjacent dots.
Claim 27
Dependent Claim 101 words
The apparatus of claim 18, wherein said error diffusion means comprises: a comparator responsive to the prototype gray pattern matrix for comparing the number in each of the elements in the prototype gray pattern matrix to a predetermined threshold number to generate an output binary value; error generation apparatus responsive to the output binary value and to the constant value for generating an error value; filter apparatus responsive to the error value for generating a plurality of error diffusion values; and a mechanism for applying the error diffusion values to the number in selected elements of the prototype gray pattern matrix.
Claim 28
Dependent Claim 240 words
An input/output apparatus comprising: input means for inputting an image of every other pixel, i×j representing an image, i and j being positive integers, the every other pixels comprising i/2×j pixels,: dither generating means for generating a dither matrix comprising: gray pattern generation means for generating a prototype gray pattern matrix comprising m×n elements, wherein m and n are each positive integers, wherein each of the m×n elements comprise equal predetermined values, and wherein each of the m×n elements is in corresponding relation to only the i/2×j pixels, error diffusion means for performing error diffusion processing on the gray pattern matrix to form a starting binary pattern comprising m×n elements, each of the m×n elements comprising one of a first value and a second value, initial binary pattern generating means for generating an initial binary pattern in response to the staring binary pattern, oversize adjusting means, responsive to the starting binary pattern, for generating a starting gray pattern in accordance oversized dots; initial gray pattern generating means for generating an initial gray pattern in response to the starting gray pattern, and assigning means for generating the dither array in accordance with the initial binary pattern and the initial gray scale pattern; dither processing means for performing a dither process of the inputted image in accordance with the dither matrix generated by said dither generating means; and output means for outputted with the input image dithered by said dither processing means.
Claim 29
Dependent Claim 240 words
An input/output apparatus comprising: input means for inputting an image of every other pixel, i×j representing an image, i and j being positive integers, the every other pixels comprising i/2×j pixels,: dither generating means for generating a dither matrix comprising: gray pattern generation means for generating a prototype gray pattern matrix comprising m×n elements, wherein m and n are each positive integers, wherein each of the m×n elements comprise equal predetermined values, and wherein each of the m×n elements is in corresponding relation to only the i/2×j pixels, error diffusion means for performing error diffusion processing on the gray pattern matrix to form a starting binary pattern comprising m×n elements, each of the m×n elements comprising one of a first value and a second value, initial binary pattern generating means for generating an initial binary pattern in response to the staring binary pattern, oversize adjusting means, responsive to the starting binary pattern, for generating a starting gray pattern in accordance oversized dots; initial gray pattern generating means for generating an initial gray pattern in response to the starting gray pattern, and assigning means for generating the dither array in accordance with the initial binary pattern and the initial gray scale pattern; dither processing means for performing a dither process of the inputted image in accordance with the dither matrix generated by said dither generating means; and output means for outputted with the input image dithered by said dither processing means.
Claim 30
Independent Claim 213 words
A method for generating a starting pattern for use by a void and cluster dither array generation process for halftone image generation of every other pixel of an n×m pixel data representing an image, n and m being positive integers, the every other pixels comprising n/2×m pixels, by a printing device, the method comprising the steps of: A. generating a prototype binary pattern comprising a two-dimensional array of elements, each element comprising a number having a constant value wherein k and l are positive integers and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; B. applying an error diffusion halftoning process to the prototype binary pattern to generate a starting binary pattern comprising a two-dimensional k×l array of binary numbers having one of a first value and a second value, wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; C. applying the void and cluster dither array generation process to the starting binary pattern to generate an improved dither array; and D. adding correction amounts in the-starting binary pattern to each second-value binary number that borders a first-value binary number in order to create a starting gray pattern which corrects for overlap of printing dots used by the printing device.
Claim 31
Independent Claim 213 words
A method for generating a starting pattern for use by a void and cluster dither array generation process for halftone image generation of every other pixel of an n×m pixel data representing an image, n and m being positive integers, the every other pixels comprising n/2×m pixels, by a printing device, the method comprising the steps of: A. generating a prototype binary pattern comprising a two-dimensional array of elements, each element comprising a number having a constant value wherein k and l are positive integers and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; B. applying an error diffusion halftoning process to the prototype binary pattern to generate a starting binary pattern comprising a two-dimensional k×l array of binary numbers having one of a first value and a second value, wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; C. applying the void and cluster dither array generation process to the starting binary pattern to generate an improved dither array; and D. adding correction amounts in the-starting binary pattern to each second-value binary number that borders a first-value binary number in order to create a starting gray pattern which corrects for overlap of printing dots used by the printing device.
Claim 32
Dependent Claim 71 words
A method for generating an improved dither array according to claim 25, wherein step D comprises the steps of: D1. adding a first correction amount for correcting for dot overlap in a horizontal and a vertical direction; D2. adding a second correction amount for correcting for dot overlap in a diagonal direction; and D3. adding a third correction amount for correcting for dot overlap caused by overlap of two adjacent dots.
Claim 33
Dependent Claim 36 words
The method according to claim 25, wherein each of the pixels comprises a corresponding dot having a radius r in the range of 1/dpi≦r≦√2/dpi, and dpi is a resolution of the pixels in dots per inch.
Claim 34
Independent Claim 256 words
A method for generating a starting pattern for use by a void and cluster dither array generation process for halftone image generation of every other pixel of an n×m pixel data representing an image, n and m being positive integers, the every other pixels comprising n/2×m pixels, by a printing device, the method comprising the steps of: A. generating a prototype binary pattern comprising a two-dimensional array of elements, each element comprising a number having a constant value wherein k and l are positive integers and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; B. applying an error diffusion halftoning process to the prototype binary pattern to generate a starting binary pattern comprising a two-dimensional k×l array of binary numbers having one of a first value and a second value, wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels, wherein step B comprises the steps of: B1. comparing the number in each of the elements in the prototype binary pattern to a predetermined threshold number to generate an output binary value; B2. error generation apparatus responsive to the output binary value and to the constant value for generating an error value; B3. generating a plurality of error diffusion values from the error value; and B4. applying the error diffusion values to the number in selected elements of the prototype binary pattern; and C. applying the void and cluster dither array generation process to the starting binary pattern to generate an improved dither array.
Claim 35
Independent Claim 256 words
A method for generating a starting pattern for use by a void and cluster dither array generation process for halftone image generation of every other pixel of an n×m pixel data representing an image, n and m being positive integers, the every other pixels comprising n/2×m pixels, by a printing device, the method comprising the steps of: A. generating a prototype binary pattern comprising a two-dimensional array of elements, each element comprising a number having a constant value wherein k and l are positive integers and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; B. applying an error diffusion halftoning process to the prototype binary pattern to generate a starting binary pattern comprising a two-dimensional k×l array of binary numbers having one of a first value and a second value, wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels, wherein step B comprises the steps of: B1. comparing the number in each of the elements in the prototype binary pattern to a predetermined threshold number to generate an output binary value; B2. error generation apparatus responsive to the output binary value and to the constant value for generating an error value; B3. generating a plurality of error diffusion values from the error value; and B4. applying the error diffusion values to the number in selected elements of the prototype binary pattern; and C. applying the void and cluster dither array generation process to the starting binary pattern to generate an improved dither array.
Claim 36
Independent Claim 222 words
A method for generating an improved dither array for halftone image generation of every other pixel of an n×m pixel data representing an image, n and m being positive integers, the every other pixel comprising n/2×m pixels by a printing device, the method comprising the steps of: A. generating a prototype binary pattern comprising a two-dimensional array of k×l elements, each element comprising a number having a constant value wherein k and l are positive integers and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; B. applying an error diffusion halftoning process to the prototype binary pattern to generate a starting binary pattern comprising a two-dimensional array of binary numbers having one of a first value and a second value; C. locating clusters of first-value binary numbers and voids between first-value binary numbers in the starting binary pattern and homogenizing the starting binary pattern to generate an initial binary pattern by repetitively moving first value binary numbers from the clusters to the voids; and D. assigning threshold numbers to each of the binary numbers in the initial binary pattern to generate the improved dither array, wherein each of the pixels comprises a corresponding dot having a radius r in the range of 1/dpi≦r≦√2/dpi, and dpi is a resolution of the pixels in dots per inch.
Claim 37
Independent Claim 222 words
A method for generating an improved dither array for halftone image generation of every other pixel of an n×m pixel data representing an image, n and m being positive integers, the every other pixel comprising n/2×m pixels by a printing device, the method comprising the steps of: A. generating a prototype binary pattern comprising a two-dimensional array of k×l elements, each element comprising a number having a constant value wherein k and l are positive integers and wherein each of the k×l elements is in corresponding relation to only the n/2×m pixels; B. applying an error diffusion halftoning process to the prototype binary pattern to generate a starting binary pattern comprising a two-dimensional array of binary numbers having one of a first value and a second value; C. locating clusters of first-value binary numbers and voids between first-value binary numbers in the starting binary pattern and homogenizing the starting binary pattern to generate an initial binary pattern by repetitively moving first value binary numbers from the clusters to the voids; and D. assigning threshold numbers to each of the binary numbers in the initial binary pattern to generate the improved dither array, wherein each of the pixels comprises a corresponding dot having a radius r in the range of 1/dpi≦r≦√2/dpi, and dpi is a resolution of the pixels in dots per inch.

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