CN112179279B - Method for estimating thickness of ink layer of ink jet printing - Google Patents

Method for estimating thickness of ink layer of ink jet printing Download PDF

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CN112179279B
CN112179279B CN202010812585.2A CN202010812585A CN112179279B CN 112179279 B CN112179279 B CN 112179279B CN 202010812585 A CN202010812585 A CN 202010812585A CN 112179279 B CN112179279 B CN 112179279B
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CN112179279A (en
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赵晨飞
王军
樊盛辉
张卓清
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Dongguan Furuixin Trademark Co ltd
Sichuan Panyingda Technology Co ltd
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Shaanxi University of Science and Technology
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00—Measuring arrangements characterised by the use of optical techniques
    • G01B11/02—Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness
    • G01B11/06—Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness for measuring thickness ; e.g. of sheet material
    • G01B11/0616—Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness for measuring thickness ; e.g. of sheet material of coating
    • G01B11/0625—Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness for measuring thickness ; e.g. of sheet material of coating with measurement of absorption or reflection

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  • General Physics & Mathematics (AREA)
  • Ink Jet Recording Methods And Recording Media Thereof (AREA)
  • Ink Jet (AREA)

Abstract

The invention discloses a method for estimating the thickness of an ink layer of ink jet printing, which comprises the steps of firstly designing the area rate and the color of a color block dot to be measured; then, printing the designed color blocks on the blank paper by using an ink-jet printer; measuring the spectral reflectance value of the color block and the spectral reflectance value of the blank on the blank paper to calculate the thickness of the ink layer, and finally obtaining the value of the thickness of the ink layer; the estimation of the thickness of the ink layer on the paper is realized by measuring the spectral reflectivity (the wavelength is 400 nm-700 nm) of the monochromatic ink (cyan, magenta and yellow) with dark tones (the area of the dot is more than 70%) under different paper, and the method is a nondestructive estimation method of the thickness of the ink layer and can further compare the thickness of the ink layer on the paper.

Description

Method for estimating thickness of ink layer of ink jet printing
Technical Field
The invention belongs to the technical field of printing, and relates to a method for estimating the thickness of an ink layer of ink jet printing.
Background
The thickness of the ink layer refers to the average thickness of the ink layer attached to the surface of the paper in the direction perpendicular to the paper. Whether the thickness of the printed ink layer is correct is the key factor for obtaining the best reproduction of the printed color gradation. The ink layer on the printed paper is too thin, the ink color cannot uniformly cover the paper, the printing becomes dark, the color becomes light, and the layer is fuzzy; if the ink layer is too thick and the solid density on the printing paper reaches the maximum solid density of the ink, the quality is not only improved but also the number of screen dots is severely increased, thereby causing printing failures such as pasting or gradation merging, blurring of dots in a dark-tone area of a printing portion, and darkening of gradation.
In digital color printing, the thickness of the ink layer has a large impact on the color reproduction. The uniformity of the ink layer thickness is one of the important parameters that measure print quality.
Disclosure of Invention
The invention aims to provide a method for estimating the thickness of an ink layer of ink jet printing, which can calculate the thickness of the ink layer according to the spectral reflectivity of paper and the spectral reflectivity of ink, and finally obtain the thickness of the ink layer.
The technical scheme adopted by the invention is a method for estimating the thickness of an ink layer of ink jet printing, which is implemented by the following steps:
step 1, designing the area rate and color of color block dots to be measured;
step 2, printing the color blocks designed in the step 1 on the blank paper by using an ink-jet printer;
step 3, measuring the spectral reflectance value of the color block printed in the step 2 and the spectral reflectance value of a blank on the blank paper;
and 4, calculating the thickness of the ink layer according to the spectral reflectivity of the paper and the spectral reflectivity of the color block obtained in the step 3, and finally obtaining the value of the thickness of the ink layer.
The invention is also characterized in that:
the specific content of the step 1 is as follows: the area rate of the color lump dots is not less than 70 percent;
selecting two different printing papers to print the color blocks in the step 2;
wherein the spectral reflectance value of the color block in the step 3 and the spectral reflectance value of the blank on the blank paper are both 400 nm-700 nm;
wherein the calculation process of the step 4 is as follows: the spectral reflectivity of the blank part of the first paper is Rw or rhogλ 1(ii) a The spectral reflectance value of the dark color block on the first paper is Rc or rhoλ 1(ii) a The paper internal spectral reflection factor R is determined by the following formulag；
Figure BDA0002631569100000021
In the formula, rs(reflectance at the inner boundary of paper and air) ═ 0.05, ri(reflectance at the paper-air interface) 0.6, K (specular reflection ratio of the printed matter surface) 0;
the obtained internal spectral reflection factor R of the papergThe following equation was substituted to obtain the transmittance t of the amount of inkc：
Figure BDA0002631569100000022
According to the law of Lanbert-Beer: t exp (-kwc), i.e. tc＝e-kwcIn the formula: k is the absorption coefficient of the ink, c is the concentration of the ink, and w is the length of a light path passing through the ink layer; obtaining the absorption coefficient k of the printing ink;
then setting the spectral reflectivity of the first printing stock as rhogλ 1The spectral reflectance of the second substrate is ρgλ 2The spectral reflectivity of the ink on the first printing stock is rhoλ 1The spectral reflectance of the ink on the second substrate is rhoλ 2：
Figure BDA0002631569100000031
A obtained from the formula (3)λBringing in
Figure BDA0002631569100000032
B is obtainedλ，
Since k is Sλ(aλ-1) substituting the value of formula k, calculating Sλ；
Finally, the ink thickness X is determined by the following formula:
Figure BDA0002631569100000033
the thickness values at different wavelengths are then averaged.
The invention has the beneficial effects that:
the method for estimating the thickness of the ink layer of the ink jet printing can estimate the thickness of the ink layer on the paper by measuring the spectral reflectivity (the wavelength is 400 nm-700 nm) of the single-color ink (cyan, magenta and yellow) with dark tones (the area of a dot is more than 70%) under different papers, is a nondestructive estimation method of the thickness of the ink layer, and can further compare the thickness of the ink layer on the paper.
Detailed Description
The present invention will be described in detail with reference to the following embodiments.
The invention provides a method for estimating the thickness of an ink layer of ink jet printing, which is implemented by the following steps:
assuming that the change of the area rate of the dots of the dark tone screen tone printing color block can be ignored when the ink discharge amount is subjected to small correction, the change of the ink discharge amount only causes the change of the thickness of the ink layer of the printing color block, and therefore, the size of the ink discharge amount is equal to the product of the area rate of the dots and the thickness of the ink layer;
step 1, designing the area rate and the color of color lump dots to be measured, wherein the area rate of the color lump dots is not less than 70%;
step 2, printing the color blocks designed in the step 1 on blank paper by using an ink-jet printer, selecting two different printing papers for printing the color blocks, and carrying out ink-jet printing once and repeatedly manufacturing twice to obtain the color blocks;
step 3, measuring the spectral reflectance value (400 nm-700 nm) of the color block printed in the step 2 and the spectral reflectance value (400 nm-700 nm) of a blank on the blank paper;
and 4, calculating the thickness of the ink layer according to the spectral reflectivity of the paper and the spectral reflectivity of the color block obtained in the step 3, and finally obtaining the value of the thickness of the ink layer:
the spectral reflectivity of the blank part of the first paper is RwOr rhogλ 1(ii) a The spectral reflectance value of the dark-tone color block on the first paper is RcOr rhoλ 1(ii) a The paper internal spectral reflection factor R is determined by the following formulag；
Figure BDA0002631569100000041
In the formula, rs(reflectance at the inner boundary of paper and air) ═ 0.05, ri(reflectance at the paper-air interface) 0.6, K (specular reflection ratio of the printed matter surface) 0;
the obtained internal spectral reflection factor R of the papergThe following equation was substituted to obtain the transmittance t of the amount of inkc：
Figure BDA0002631569100000042
According to the law of Lanbert-Beer: t exp (-kwc), i.e. tc＝e-kwcIn the formula: k is the absorption coefficient of the ink, c is the concentration of the ink, and w is the length of an optical path passing through the ink layer; obtaining the oilThe absorption coefficient k of the ink;
then setting the spectral reflectivity of the first printing stock as rhogλ 1The spectral reflectance of the second substrate is ρgλ 2The spectral reflectivity of the ink on the first printing stock is rhoλ 1The spectral reflectance of the ink on the second substrate is rhoλ 2：
Figure BDA0002631569100000043
According to the kubelka-munk double constant equation after the Moresen correction, a obtained by the formula (3)λBringing in
Figure BDA0002631569100000051
B is obtainedλ，
Since k is Sλ(aλ-1) substituting the value of formula k, calculating Sλ；
Finally, the ink thickness X is determined by the following formula:
Figure BDA0002631569100000052
the thickness values at different wavelengths are then averaged.
Specific examples are as follows:
first, 100% of the cyan patch needs to be measured and printed on 2 different papers, and the spectral reflectance ρ of the 2 papers is measuredgλ 1＝Rw、ρgλ 2And reflectance R of cyan patch on 2 kinds of paperc＝ρλ 1、ρλ 2：
ρgλ 1＝Rw＝y＝[0.3159 0.5768 0.8835 1.0318 1.0567 1.0061 0.9647 0.9360 0.9099 0.8875 0.8743 0.8619 0.8514 0.8413 0.8353 0.8295 0.8230 0.8159 0.8102 0.8146 0.8187 0.8188 0.8204 0.8232 0.8245 0.8284 0.8289 0.8325 0.8337 0.8362 0.8351]；
ρgλ 2＝z＝[0.3138 0.5783 0.8920 1.0518 1.0795 1.0343 0.9907 0.9666 0.9405 0.9211 0.9097 0.8983 0.8868 0.8811 0.8737 0.8693 0.8619 0.8560 0.8522 0.8566 0.8599 0.8611 0.8640 0.8678 0.8725 0.8786 0.8803 0.8847 0.8873 0.8894 0.8892]；
Rc＝ρλ 1＝n＝[0.1559 0.2433 0.3258 0.3372 0.2919 0.2183 0.1552 0.1013 0.0556 0.0321 0.0204 0.0113 0.0071 0.0070 0.0069 0.0066 0.0074 0.0183 0.0976 0.2807 0.4749 0.6009 0.6691 0.7055 0.7558 0.7384 0.7491 0.7574 0.7614 0.7648 0.7695]；
ρλ 2＝m＝[0.1561 0.2411 0.3221 0.3348 0.2899 0.2163 0.1527 0.0990 0.0532 0.0299 0.0186 0.0100 0.0061 0.0065 0.0058 0.0056 0.0065 0.0169 0.0980 0.2888 0.4924 0.6250 0.6982 0.7378 0.7622 0.7801 0.7914 0.8009 0.8075 0.8121 0.8177]；
According to a classic monochromatic halftone Clapper-Yule spectral reflectance prediction model formula
Figure BDA0002631569100000061
Derived formula
Figure BDA0002631569100000062
The calculation is based on the reflection and refraction of light between the ink and the paper substrate:
here, the relevant literature data, R, are reviewedwK (the specular reflection ratio on the surface of a printed matter) is 0, ri(reflectance at the boundary between paper and air) ═ 0.6, rs(reflectance at the inner boundary between paper and air) ═ 0.05, and R was obtainedgPaper internal spectral reflectance factor:
Rg＝3.03521963156414 1.38374482468434 1.32554092079660
1.47839145365888 1.65422048873723 2.05752352630793
2.44344191943477 3.35908969496895 4.52294120027180
6.20751431743351 8.41610336992029 12.6357501357888
16.8473777563161 29.0829071254916 17.0234241457522
19.0090256908202 19.6586880784786 11.3241305819550
5.52638599885565 3.04872428830661 2.00569968073713
1.50344491036923 1.34376991575959 1.27573880441514
1.04264600020644 1.40007386066419 1.26499337381256
1.25300629746006 1.33604380686196 1.65819091357591
1.50526139442581
will calculate RgBringing in
Figure BDA0002631569100000063
Find tc(transmittance of m ink amount)
tc＝0.770427941515666 0.763072935452835 0.763662918300575
0.748799077354313 0.710334966800128 0.646289124826674
0.570995397721708 0.480827261528678 0.369971066822953
0.287512592486542 0.231970305846157 0.174384904226077
0.139043156008313 0.138424366239518 0.137654639812273
0.134863314889831 0.142957741418337 0.223344154134280
0.487756778832188 0.738826168877093 0.871788986926764
0.929216251240222 0.954107505221975 0.965590054504584
0.980821744694700 0.974596905654695 0.977698773076429
0.979243943106312 0.980112518337533 0.980469941257606
0.982107774620657
According to the law of Lanbert-Beer: t ═ exp (-kwc), where: k is the absorption coefficient of the ink, c is the concentration of the ink 100%, w is the optical path length through the ink layer 1.78, and the equation is substituted
Figure BDA0002631569100000071
Obtaining k:
k＝0.146521994558536 0.151911046008686 0.151476850330710
0.162519430328780 0.192145301110354 0.245229389704595
0.314816926623958 0.411374829785234 0.558612625942289
0.700274505477939 0.820868487387603 0.981174342466496
1.10841062874092 1.11091640148922 1.11404906777751
1.12555814367848 1.09281247581593 0.842158092748001
0.403336180565149 0.170052028369560 0.0770830740596389
0.0412437015405856 0.0263926544780034 0.0196718590228646
0.0108789571237234 0.0144557997572044 0.0126705951569206
0.0117834222992633 0.0112853366730783 0.0110805002026288
0.0101428238915209；
at this time, let us say that the spectral reflectance of the first substrate is ρgλ 1The spectral reflectance of the second substrate is ρgλ 2The spectral reflectivity of the ink on the first printing stock is rhoλ 1The spectral reflectivity of the ink on the first printing stock is rhoλ 2；
Using formulas
Figure BDA0002631569100000081
Find aλ：
aλ＝3.03521963156414 1.38374482468434 1.32554092079660
1.47839145365888 1.65422048873723 2.05752352630793
2.44344191943477 3.35908969496895 4.52294120027180
6.20751431743351 8.41610336992029 12.6357501357888
16.8473777563161 29.0829071254916 17.0234241457522
19.0090256908202 19.6586880784786 11.3241305819550
5.52638599885565 3.04872428830661 2.00569968073713
1.50344491036923 1.34376991575959 1.27573880441514
1.04264600020644 1.40007386066419 1.26499337381256
1.25300629746006 1.33604380686196 1.65819091357591
1.50526139442581；
A to be calculatedλSubstituting into formula
Figure BDA0002631569100000082
B is obtainedλ：
bλ＝2.86575613265196 0.956425501458792 0.870091220910943
1.08887156738139 1.31774254896700 1.79816658330385
2.22944127835902 3.20678711155677 4.41100862627995
6.12643730084150 8.35648227026084 12.5961177151568
16.8176733606053 29.0657098119067 16.9940274698548
18.9827041728586 19.6332375569318 11.2798906660113
5.43515797455306 2.88005551788688 1.73862911781352
1.12265159266584 0.897617728490557 0.792154970375474
0.295145187571285 0.979901431428251 0.774731073205195
0.754999855281156 0.886009624018954 1.32272336709748
1.12508304828965
Then by k ═ Sλ(aλ-1), the calculated k value, calculating Sλ：
Sλ＝0.0719932101116422 0.395864741977025 0.465308170659610
0.339720597192496 0.293701136571296 0.231890245090574
0.218101554614151 0.174378630309200 0.158564277456345
0.134473851206436 0.110687303890213 0.0843241158512534
0.0699428413826482 0.0395584544194433 0.0695262796293663
0.0624996689439015 0.0585685591194592 0.0815718172162567
0.0891077739872648 0.0830038621302811 0.0766462151038376
0.0819229685137484 0.0767741831616829 0.0713423671528205
0.255099119989226 0.0361328274064324 0.0478147622131984
0.0465736324255859 0.0335829330659678 0.0168347814806941
0.0200744090156489：
Due to the fact that
Figure BDA0002631569100000091
The average ink thickness X at several different wavelengths was determined to be the thickness of the ink on paper 1, which was about 4.36 microns.

Claims (1)

1. A method for estimating the thickness of an ink layer of an ink jet printing process is characterized by comprising the following steps:
step 1, designing the area rate and the color of color lump dots to be measured, wherein the area rate of the color lump dots is not less than 70%;
step 2, printing the color blocks designed in the step 1 on the blank paper by using an ink-jet printer, and selecting two different printing papers for printing the color blocks;
step 3, measuring the spectral reflectance value of the color block printed in the step 2 and the spectral reflectance value of the blank on the blank paper, wherein the spectral reflectance value of the color block and the spectral reflectance value of the blank on the blank paper are both 400 nm-700 nm;
step 4, calculating the thickness of the ink layer according to the spectral reflectivity of the paper and the spectral reflectivity of the color blocks obtained in the step 3, and finally obtaining the value of the thickness of the ink layer:
the spectral reflectivity of the blank part of the first paper is Rw or rhogλ 1(ii) a Spectral reflectance values of dark-toned color blocks on a first paperNamely Rc or ρλ 1(ii) a The paper internal spectral reflection factor R is determined by the following formulag；
Figure FDA0003550004510000011
In the formula, the reflectivity r at the boundary between paper and airsReflectance r at the paper-air interface of 0.05i0.6, and the mirror reflection ratio K of the surface of the printed matter is 0;
the obtained internal spectral reflection factor R of the papergThe transmittance t of the ink amount is obtained by substituting the following equationc：
Figure FDA0003550004510000012
According to the law of Lanbert-Beer: t exp (-kwc), i.e. tc＝e-kwcIn the formula: k is the absorption coefficient of the ink, c is the concentration of the ink, and w is the length of an optical path passing through the ink layer; obtaining the absorption coefficient k of the printing ink;
then setting the spectral reflectivity of the first printing stock as rhogλ 1The spectral reflectance of the second substrate is ρgλ 2The spectral reflectivity of the ink on the first printing stock is rhoλ 1The spectral reflectivity of the ink on a second printing stock is rhoλ 2：
Figure FDA0003550004510000021
A obtained from the formula (3)λSubstitution into
Figure FDA0003550004510000023
B is obtainedλ；
Since k is Sλ(aλ-1), substituting the value of formula k to calculate Sλ；
Finally, the ink thickness X is determined by the following formula:
Figure FDA0003550004510000022
the thickness values at different wavelengths are then averaged.
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Publication number Priority date Publication date Assignee Title
GB1330886A (en) * 1971-11-13 1973-09-19 Paper Board Printing Res Ass Apparatus for detecting thickness of an ink film
US7423778B2 (en) * 2003-08-01 2008-09-09 Ecole Polytechnique Federale De Lausanne (Epfl) Prediction model for color separation, calibration and control of printers
US7252360B2 (en) * 2005-10-25 2007-08-07 Ecole polytechnique fédérale de Lausanne (EPFL) Ink thickness variations for the control of color printers
US20070157840A1 (en) * 2006-01-12 2007-07-12 Heidelberger Druckmaschinen Ag Method for controlling the ink feed of an offset printing press for model based color control and printing press for carrying out the method
CN104964651B (en) * 2015-06-29 2017-06-30 成都印钞有限公司 Gravure opens greatly product ink film thickness measuring method
CN106767454B (en) * 2016-12-02 2018-11-20 大连海事大学 A kind of water-surface oil film thickness measurement system and method based on spectral reflectivity feature

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