CN113326464B - Method for evaluating dye strength based on color depth formula - Google Patents

Method for evaluating dye strength based on color depth formula Download PDF

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CN113326464B
CN113326464B CN202110665370.7A CN202110665370A CN113326464B CN 113326464 B CN113326464 B CN 113326464B CN 202110665370 A CN202110665370 A CN 202110665370A CN 113326464 B CN113326464 B CN 113326464B
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杨红英
谢宛姿
杨志晖
张靖晶
周金利
武宗文
卢士艳
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Abstract

The invention belongs to the field of color science, relates to a method for characterizing and evaluating dye intensity based on a color depth objective evaluation formula, and particularly relates to a method for evaluating dye intensity based on a color depth formula. The method for representing and evaluating the dye strength based on the color depth formula of the invention provides an objective, direct and universal method for representing and evaluating the dye strength and the pigment tinting strength, and the result is more accurate than the current standard. According to the color science theory, the invention characterizes the formula Yang on the color depthnTheoretical analysis and experimental research are carried out on the application performance of the dye, and the formula can be used for calculating the color intensity value and the dye intensity, and compared with the existing dye intensity evaluation method, the method is simple and convenient in operation and calculation process, wider in application range and excellent in calculation effect. The invention relates to the fields of spectrophotometry, colorimetry, pigment production and coloring, textile printing and dyeing technology and the like.

Description

Method for evaluating dye strength based on color depth formula
Technical Field
The invention belongs to the field of color science, relates to a method for representing and evaluating dye strength (also known as relative dye strength and dye strength) based on a color depth objective evaluation formula, and particularly relates to a method for evaluating dye strength based on a color depth formula.
Background
Definition of dye intensity. The dye strength refers to the ability of a dye to impart color to other materials, and is generally characterized by the ability of a dye to impart color relative to its standard, also known as the relative strength of the dye (relative strength of dye/color, or relative color strength), commonly known as the dye strength. Dye strength is one of the important evaluation indexes of dyes, and only accurate measurement of dye strength can produce high-quality dyes and efficiently utilize the dyes. According to the term GB/T6687 dye, the relative intensity of a dye, commonly referred to as the intensity of the dye, means the ratio of the ability of a dye to impart color to a substrate relative to the ability of a dye standard to impart color; the ratio of dye standard to sample is usually expressed in percent when dyed to equal depth color.
It can be seen that the dye intensity depends on the depth of dyeing and the amount of dye used. The calculation method of dye intensity is different from domestic and foreign standards.
According to GB/T6688 method for measuring relative dye intensity and chromatic aberration, the relative dye intensity refers to the ratio of the dye usage when a sample and a standard sample are dyed to equal color depths. The dyeing depth of the sample and the standard sample is controlled according to the 1/3 standard depth in GB/T4841.3-2006, and the depths of the sample and the standard sample are approximate as much as possible. The national standard provides two methods as follows.
National standard method I: K/S calculation method
The method is suitable for the situation that the sample and the standard sample have the same or nearly the same chromatic light by visual inspection and have the same maximum absorption wavelength, and is not suitable for the situation that the dye is mixed, the dye has more than two absorption peaks or no obvious absorption peak, and the sample and the standard sample have the same chromatic light by visual inspection but have different maximum absorption wavelengths (metamerism). In addition, the difference of the color depth of the sample and the standard sample should not be more than 10%, otherwise, the dyeing concentration of the sample or the standard sample should be adjusted to prepare the dyed sample again so that the color depth is as close as possible.
The relative intensity of the dye to be measured is calculated in ST, the value is expressed in minutes (or%) and is calculated according to formula (1):
ST=100f 2 /f 1 (1)
wherein: f (f) 2 -Kubelka-Munk function value of the sample per unit of staining concentration at maximum absorption;
f 1 Kubelka-Munk function value of standard at maximum absorbance per unit staining concentration.
f=(K/S) max /C (2)
K/S=(1-R ) 2 /2R (3)
Wherein: (K/S) max -Kubelka-Munk function value of the stained sample at the maximum absorption wavelength;
c, dyeing concentration;
R -reflectivity of a completely opaque body.
It is apparent that the essence of the first method is that the color depth of the sample and the standard sample is required to be in the vicinity of 1/3 and the difference is not more than 10%, and then the ratio of the unit concentrations K/S of the sample and the standard sample is calculated and expressed in minutes (or%).
And a national standard method II: calculation method of K/S and pseudo tristimulus values based on integration
Is suitable for all conditions of solving the relative intensity of the dye. The color depth of the sample and the standard sample should be not more than 10%, otherwise, the dyeing concentration of the sample or the standard sample should be adjusted to prepare the dyed sample again so that the color depth is as close as possible.
The Kubelka-Munk function value of the sample at a certain wavelength lambda is expressed as F (λ) And (3) calculating according to a formula (4):
Figure BDA0003117144720000021
wherein: r is R ∞(λ) -reflectance of the stained sample at wavelength λ;
Figure BDA0003117144720000025
-reflectivity of the blank fabric at wavelength λ.
The pseudo tristimulus values of the stained specimens were calculated using the Kubelka-Munk function values, and the sum I of these three values was proportional to the depth of the stained specimens.
The sum of the pseudo tristimulus values of the dye sample is calculated according to the formula (5) by I:
Figure BDA0003117144720000022
wherein: s is S D65 (lambda) -CIE recommendation D 65 Standard illuminant spectral energy distribution;
Figure BDA0003117144720000023
-CIE 1964 standard chromaticity observer color matching functions;
Δλ—wavelength interval.
When the dyeing depth of the sample dye is equal to that of the standard sample, the formula (6) holds:
I 1 =I 2 (6)
the relative dye intensities are calculated in ST, the values are expressed in minutes (or%) and are calculated according to formula (7):
Figure BDA0003117144720000024
wherein: c (C) 1 -staining concentration of standard;
C 2 -staining concentration of the sample.
If the sum of pseudo tristimulus values of the sample and the standard sample is not equal, i.e. I 1 ≠I 2 Then, the relative intensity of the dye sample must be calculated iteratively by approximation, using the theoretical change in the dye concentration of the sample, so that the sum of the pseudo tristimulus values of the sample eventually satisfies equation (6), and then using equation (7).
The essence of the national standard method II is that: firstly, by means of an iterative algorithm, the concentration of a sample is adjusted to make the sum of pseudo tristimulus values (the weight sum of K/S) of the sample and a standard sample equal, and then the ratio of the dyeing concentration of the standard sample to the dyeing concentration of the sample is calculated and expressed in minutes (or%).
Similar to the Chinese standard, the relative dye intensity is calculated at home and abroad, the sample and the standard sample are adjusted to the same color depth, and then the relative dye intensity is obtained by calculating the ratio of the dye consumption of the sample to the dye consumption of the standard sample, as shown in a formula (7). Werner Baumann et al recognized that there was some difficulty in tuning the sample and standard to the same depth, so they recommended that the relative intensity of the dye be calculated by means of K/S of the Kubelka-Munk equation (see equation (3)) as the color intensity value (color strength value, similar to the color depth). However, since a conflict with visual judgment occurs at both ends of the spectral region when directly using the K/S calculation, they recommend that the K/S weighted by the tristimulus value of the spectrum of the standard chromaticity observer be used and that as the color intensity value, formula (8) be proposed, and the dye intensity can be obtained by calculating the color intensity value per unit concentration of the sample and the standard sample as shown in formula (9), but the formula is only established when the color intensity value is in a linear relationship with the dye concentration.
Figure BDA0003117144720000031
Wherein: fk-color intensity value (color strength value);
Figure BDA0003117144720000032
-CIE 1964-XYZ standard chromaticity observer spectral tristimulus values.
Figure BDA0003117144720000033
Wherein: fs—relative dye intensity;
C 1 ,C 2 -the concentration of the standard and sample;
f k1 ,f k2 -color intensity values of standard and test samples.
Later, the U.S. AATCC EP-6 2008 Instrumental Color Measurement standard recommended 4 methods for calculating color intensity values, namely: SWL, SUM, WSUM and TSVSTR. The first three can be calculated by reflectivity or transmissivity, and the calculation method of the transmissivity is similar as shown in the formulas (10) to (12) by reflectivity. TSVSTR is a direct characterization of color intensity values in terms of Y values of tristimulus values (X, Y, Z), which is only roughly used in some textile factories and is not suitable for scientific research.
(1) SWL method: the color intensity value, i.e., the K/S value, is calculated from the reflectance at a single wavelength at the maximum absorption peak.
SWL=(1-R λ(∞) ) 2 /(2R λ(∞) ) (10)
Wherein: r is R λ(∞) -wavelength at which the reflectance of the sample being measured is at maximum absorption.
(2) SUM method: and (3) calculating according to the sum of K/S values of all wavelengths in the visible spectrum, and performing normalization processing by dividing by the sum of the intervals.
SUM=∑ λ (K/S)/n (11)
Wherein: n-the number of intervals summed.
(3) WSUM method: the sum of the K/S value weighted by the spectral tristimulus value of the standard chromaticity observer and the relative spectral energy distribution of the standard illuminant is used for calculation, and the normalization processing is carried out by dividing by the sum interval number.
Figure BDA0003117144720000041
Wherein:
Figure BDA0003117144720000042
-a standard colorimetric observer spectral tristimulus value;
E λ -relative spectral power distribution of standard illuminants.
Compared with the dye intensity calculation method of GB/T6688-2008, the dye intensity calculation method recommended by AATCC EP-6 2008 does not need to adjust the measured sample to a depth of 1/3, and is simpler to operate. However, the SWL (K/S) method is only applicable to colors with the same hue and consistent change rule of the reflectance curve, and is not applicable to samples with mixed/matched colors, metamerism, no peak, multiple peaks and different peak positions of the reflectance curve. The computation of SUM and WSUM (similar to the color depth characterization formula intelg) is somewhat complex, and WSUM needs to know the spectral tristimulus values of standard chromaticity observers and the spectral energy distribution of standard illuminants. In practical applications, the results obtained by the four methods are different or even contradictory. Therefore, regarding the evaluation of dye strength, a universal, unified and accepted method is not internationally available at present, and a great improvement space exists.
Disclosure of Invention
The invention provides a color depth formula Yangn (n=1, 2 or 3) based on a visual equal-depth color depth characterization method based on tristimulus values based on a research result obtained in the early stage, and provides a novel dye intensity calculation and evaluation method based on the Yangn formula.
The design concept of the invention is as follows:
s1, designing theoretically based on basic concepts of dye intensity and basic theories of color science; according to a color depth formula Yangn (n=1, 2 or 3) provided by the invention patent 'visual isochrome color depth characterization method based on tristimulus values', the applicability of the color depth formula Yangn to dye intensity evaluation is studied theoretically and experimentally;
s2, the objective evaluation formula of the dye strength has universality, meets the requirements of the representation and evaluation of the relative strength of all dyes as far as possible, and is not limited by the existence, the number, the hue, the type and the like of dye absorption peaks;
s3, the objective evaluation result of the dye strength has stability, and can be kept stable in the concentration range of the dye which is usually used, or the change of the dye strength is tiny;
s4, the objective evaluation formula of the dye strength accords with the principle, is easy to understand and is convenient to calculate.
The invention adopts the following technical scheme:
the method for evaluating the dye strength based on the color depth formula comprises the following steps:
(1) Based on the concept of dye intensity, a calculation formula of dye intensity is designed based on the basic theory of color science and the invention patent 'visual equal-depth color depth characterization method based on tristimulus values', and the color depth of a color depth formula Yangn (n=1, 2 or 3) is used as a color intensity value (color strength value).
(2) The Yangn formula has three values (1, 2 or 3), and based on theoretical analysis and experimental inspection, the n value most suitable for dye intensity is determined, and a calculation formula of color intensity value is determined.
(3) Color samples of the sample and the standard were prepared in parallel: setting the required dyeing concentration, and dyeing under standard conditions to obtain a dyed sample. The common or specific concentration dyeing sample can be selected according to the actual demand; or set a series of concentration dyeings to obtain more comprehensive results.
(4) Measuring and calculating color intensity values of color samples of the sample and the standard sample: measuring the spectral reflectance ρ (λ) of the color sample with a spectrophotometer or a spectrocolorimeter, calculating the XYZ tristimulus values of the color sample based thereon, or directly reading the XYZ tristimulus values from the colorimeter; and then substituting the XYZ tristimulus values of the color samples into the color depth formula in the step (2) to obtain the color depth Yangn of the samples and the standard samples, namely the color intensity values.
(5) Calculating the dye strength: and (3) taking one dye as a standard and the other dye as a sample, and calculating the dye intensity according to the color intensity value Yangn measured in the step (4) and the dye intensity calculation formulas in the steps (1) and (2).
In the step (1), the dye intensity calculation formula is designed by referring to the concept of SWL, SUM and WSUM color intensity values and dyeing concentration recommended by AATCC EP-6 2008. In AATCC EP-6 2008, the SWL method actually uses the K/S color depth value of the Kubelka-Munk theory as the color intensity value; the SUM method adopts a mathematical average value of K/S; the WSUM method uses a weighted average of K/S, similar to the Integ color depth. In contrast, the invention adopts a color depth formula Yangn (n=1, 2 or 3), and the Yangn (n=1, 2 or 3) has simple calculation process and unlimited application range. Therefore, the color intensity value can be characterized by using the color depth value of the Yangn formula, and the method is applied to the calculation of the dye intensity.
In the step (2), n of the Yangn formula has three values (1, 2 or 3). When n=1, the different color depths have the greatest degree of distinction in value and the smallest unevenness; when n=3, the visual isodepth is the best, and the linearity with the isodepth sample is the best; n=2, the effect lies between the two. The calculation effect of Yang3 is considered to be the best by comprehensively considering the relative intensity of the Yang formula applied to the dyes of different production batches of the same dye, the calculation effect of the relative dye intensity of the same dye at different concentrations and the performance characteristics of the Yang formula. Meanwhile, the effects of Yang1 and Yang2 are found to be superior to those of SWL, SUM and WSUM methods.
The calculation formulas for designing the color intensity value and the dye intensity are as follows.
Figure BDA0003117144720000051
Figure BDA0003117144720000052
Figure BDA0003117144720000061
Figure BDA0003117144720000062
Figure BDA0003117144720000063
Wherein: csv—color intensity value (Color Strength Value);
cd—color Depth value (Color Depth);
ycd—color Depth value calculated by the Yangn formula (Yang Color Depth);
x, Y, Z-tristimulus values of the colorant;
X 0 ,Y 0 ,Z 0 -pure white/standard white tristimulus values;
rcs—relative dye intensity (Relative Strength of dye);
CD sp ,CD std -color depth of the sample and the standard;
YCD sp ,YCD std -color intensity values of the test sample and the standard sample;
C sp ,C std -the concentrations of the sample and the standard.
Wherein, the tristimulus value of pure white is selected as D 65 For example, according to ASTM E308-08 Standard Practice for Computing the Color of Objects by Using the CIE System, the data of the tristimulus values of the equivalent white light spectrum can be directly selected, namely: x is X 0 =94.811,Y 0 =100,Z 0 = 107.304, substituting equation (13) to obtain equation (15), i.e. at D 65 And (5) evaluating the dye intensity under the condition of the illumination body and a 10-degree view field, and calculating according to a formula (15). The calculation of the pure white tristimulus values under other illumination and observation conditions can be referred to this method.
Figure BDA0003117144720000064
Figure BDA0003117144720000065
Figure BDA0003117144720000066
/>
Figure BDA0003117144720000071
In the step (3), a corresponding dyeing process is selected to dye the color sample according to the type of the dye. One-density color sample can be dyed, or a plurality of densities can be dyed according to the color gradation.
GB/T6688-2008 is to dye the measured dye to 1/3 standard depth, then calculate the ratio of the dye used by the sample and the standard sample; studies have also shown that the results for staining samples with AATCC have been more satisfactory with reflectance values between 10% and 25%. According to the invention, if the relative dye intensities of two dyes are compared, the dye concentration and the color depth are not limited, one of the dye-dyed color samples is set as a sample, and the other dye-dyed color sample is set as a standard sample, and a pair of color samples or a color gradation color sample can be adopted for averaging.
In addition, the present study found that the relative color intensity values calculated by the dye intensity calculation formulas SWL, SUM, and WSUM of AATCC EP-6 2008 varied with the range of measured dye concentration values. The calculated relative dye intensity is almost consistent and has little change under the condition of different concentrations. Therefore, the dyeing concentration is not limited by the concentration range in use, and the corresponding dyeing concentration can be selected according to actual requirements.
In the step (4), measuring and calculating the color intensity value of the color sample of the dye, wherein a spectrophotometer or a spectrocolorimeter can be used for measuring the spectral reflectance rho (lambda) of the color sample, and the XYZ tristimulus values of the color sample are calculated based on the spectral reflectance rho (lambda), or the XYZ tristimulus values are directly read from the colorimeter; and then substituting the XYZ tristimulus values of the color samples into the color depth formula in the step (2) to obtain the color depth Yangn of the samples and the standard samples, namely the color intensity values.
In the step (5), the relative intensity of the dye is calculated: and (3) taking one dye as a standard and the other dye as a sample, and calculating the relative intensity of the dye according to the color depth Yangn measured in the step (4) and the dye intensity calculation formulas in the steps (1) and (2).
The method is also suitable for the tinting strength of the pigment, and in the steps, the dye is modified into the pigment, and the color sample preparation method is modified into a coating printing process.
The method can adopt programming languages such as Matlab and the like to carry out batch processing on the data, and is simple, convenient and quick.
The invention has the following beneficial effects:
1. the dye intensity evaluation method designed by the invention is an objective method, can be used for measuring tristimulus value calculation by an instrument, can also be used for embedding a calculation program into the instrument, and can directly give out a measuring and calculating result by the instrument without subjective evaluation and is not influenced by psychological, physiological, age, hobbies and other factors of a tested person.
2. The invention has good universality and wide application range. The provided dye intensity calculation formula is applicable to all dyes, is not limited by the conditions of the reflectivity, hue and the like of the dye to be tested, and can be used for blending dyes and different types of dyes under the conditions of no peak, multiple peaks and the like of the reflectivity curve.
3. The method is simple and convenient to operate and simple to calculate. When the color sample is prepared, the sample and the standard sample are not required to be adjusted to a certain standard depth, the sample and the standard sample are not required to be adjusted to the same color depth, and the concentration dyeing sample preparation is only required to be selected according to practical application. When calculating dye intensity: the dye strength can be obtained by simply calculating the XYZ tristimulus values of the color sample by bringing the XYZ tristimulus values into the calculation formulas (13) and (14) of the patent.
4. The dye intensity formula designed by the invention has high accuracy of calculation results, small fluctuation along with dyeing concentration and low unevenness. According to the invention, several pairs of dyes with different production batches of the same type and different types of dyes with serial concentrations and three primary colors (R, Y, B) and 3 specifications (E, SE and S) are adopted to calculate the relative dyeing intensity, and the result shows that the relative color intensity RCS of the invention has little influence by the value of the dye concentration. As shown in tables 1 to 3, the dye intensities RCS (three columns of Yang1, yang2 and Yang 3) calculated according to the present invention show that the CV values of the dye intensities at the serial concentrations are smaller than those of SWL, SUM and WSUM for the same type of different production lot dyes and different types of dyes, and that the dye intensities have small changes with the concentrations, and the advantages are more obvious, especially for different types of medium-dark color dyes, and the CV value of the conventional method is about 10% and the CV value of the present invention is below 2% as shown in table 3. Therefore, when the dye is used, the dye can be dyed in a required concentration range according to the actual condition, the relative intensity of the dye can be measured and calculated, as shown in tables 1-3, the concentration gradient change color gradation color sample can be adopted in the concentration use range, the average value is obtained, and the average value is used for representing the intensity of the dye.
TABLE 1 dye Strength for different production lots of dye (RE) of the same type at a range of concentrations
Figure BDA0003117144720000081
TABLE 2 dye strength for different production lots of dye (RSE) of the same type at a range of concentrations
Figure BDA0003117144720000091
TABLE 3 dye Strength of different classes of dyes (YS 1 and YS 2) at a series of concentrations
Figure BDA0003117144720000092
(5) The invention is not limited to colorants used in the dyeing and printing of textiles, but may also be used for other colorants (inks, paints, etc.) used for the coloring of substrates (e.g., paper).
Detailed Description
The technical solutions of the present invention will be clearly and completely described in conjunction with the embodiments of the present invention, and it is apparent that the described embodiments are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without any inventive effort, are intended to be within the scope of the invention.
Example 1
The dye intensity evaluation method based on the color depth characterization formula Yangn (n=1, 2 or 3) takes the Yang1 formula as an example to calculate the middle-deep red disperse dye RSE produced in different batches in the same type, and comprises the following steps:
a. and (3) taking the first purchase of the disperse red dye RSE1 as a standard sample, and the second purchase of the disperse red dye RSE2 as a sample, setting the dyeing concentration to be 0.45, and carrying out high-temperature and high-pressure dyeing on the plain polyester fabric under the same condition to obtain dyeing samples of the sample and the standard sample.
b. The spectral reflectance ρ (λ) of the color sample was tested: the spectral reflectance ρ (λ) of a color sample (e.g., a dyed fabric) is measured using a spectrophotometer or spectrocolorimeter with an integrating sphere. If the standard spectrocolorimeter is provided, the step is omitted, and the tristimulus values XYZ of the color sample can be read by direct colorimetry.
c. Calculating tristimulus values XYZ of the color sample: according to the measured spectral reflectionThe emissivity ρ (λ) is calculated, or the XYZ tristimulus values of the color sample are read directly from the spectrocolorimeter. Testing by X-Rite spectrocolorimeter to obtain color sample RSE1 and color sample RSE2 in D 65 The tristimulus values of the illuminant and the 10 ° viewing angle are: x is X 1 =51.667,Y 1 =36.347,Z 1 =33.465;X 2 =50.227,Y 2 =35.264,Z 2 =32.369。
d. Calculate the color intensity value (color depth) YCD of the color sample: substituting tristimulus values XYZ of the color samples into the formula (15-1) to calculate dye intensities YCD of the color samples RSE1 and RSE2 std And YCD sp
Figure BDA0003117144720000101
Figure BDA0003117144720000102
e. Calculate the relative dye intensities RCS of color sample RSE1 and color sample RSE2, and calculate YCD std 、YCD spl And the concentration of 0.45 is brought into the formula (14), and if the actual dyeing concentration deviates from the designed concentration of 0.45, the actual dyeing concentration is substituted into the formula (14) so as to obtain a more accurate result.
Figure BDA0003117144720000111
From the calculation result rcs= 101.97% > 100%: the dye strength of disperse red dye RSE2 is higher than disperse red dye RSE1, i.e. the dye strength of disperse red dye RSE purchased for the second time is slightly higher than that of disperse red dye RSE purchased for the first time.
Example 2
Taking the Yang2 formula as an example, the light yellow dye YE produced in the same type of different batches is evaluated, and the steps are as follows:
a. and (3) taking the first purchase of the light yellow dye YE1 as a standard sample, and the second purchase of the light yellow dye YE2 as a sample, setting the dyeing concentration to be 0.11, and carrying out high-temperature and high-pressure dyeing on the plain polyester fabric under the same condition to obtain dyeing samples of the sample and the standard sample.
b. Testing and extracting tristimulus values XYZ of the color sample: testing by X-Rite spectrocolorimeter to obtain color sample YE1 and color sample YE2 in D 65 The tristimulus values of the illuminant and the 10 ° viewing angle are: x is X 1 =72.811,Y 1 =80.620,Z 1 =29.892;X 2 =73.911,Y 2 =82.212,Z 2 =30.953。
c. Calculating a color intensity value YCD of the color sample: substituting tristimulus values XYZ of the color sample into the formula (15-2) to calculate dye intensities YCD of the color sample YE1 and the color sample YE2 std And YCD sp
Figure BDA0003117144720000112
Figure BDA0003117144720000113
d. Calculate the relative dye intensities RCS of the color sample YE1 and the color sample YE2, and calculate YCD std 、YCD spl And the concentration of 0.11 is brought into the formula (14), and if the actual dyeing concentration deviates from the designed concentration of 0.11, the actual dyeing concentration is substituted into the formula (14) so as to obtain a more accurate result.
Figure BDA0003117144720000114
From the calculation result rcs=96.49% < 100%: the dye intensity of the pale yellow dye YE1 is higher than that of the pale yellow dye YE2, namely the dye intensity purchased for the second time of the pale yellow dye YE is lower than that of the first purchase.
Example 3
Taking Yang3 formula as an example to evaluate different kinds of mid-deep blue dye BSE, the steps are as follows:
a. and (3) taking a deep blue dye BSE1 in a Navy HLX-DN series as a standard sample, taking a deep blue dye BSE2 in a Neocron Navy GL 200% series as a sample, setting the dyeing concentration to be 2.0, and carrying out high-temperature high-pressure dyeing on the plain polyester fabric under the same condition to obtain a sample and a dyeing sample of the standard sample.
b. Testing and extracting tristimulus values XYZ of the color sample: testing by X-Rite spectrocolorimeter to obtain color sample BSE1 and color sample BSE2 in D 65 The tristimulus values of the illuminant and the 10 ° viewing angle are: x is X 1 =7.562,Y 1 =8.083,Z 1 =15.814;X 2 =8.703,Y 2 =9.986,Z 2 =19.780。
c. Calculating a color intensity value YCD of the color sample: substituting tristimulus values XYZ of the color sample into the formula (15-3) to calculate dye intensities YCD of the color sample BSE1 and the color sample BSE2 std And YCD spl
Figure BDA0003117144720000121
Figure BDA0003117144720000122
d. Calculate the relative dye intensities RCS of color sample BSE1 and BSE2, and calculate YCD std 、YCD spl And the concentration of 2.0 is brought into the formula (14), and if the actual dyeing concentration deviates from the designed concentration of 2.0, the actual dyeing concentration is substituted into the formula (14) so as to obtain a more accurate result.
Figure BDA0003117144720000123
From the calculation result rcs= 94.28% < 100%: the intensity of the dark blue dye BSE1 in the Navy HLX-DN series is higher than that in the Navy GL 200% series, and the intensity of the dark blue dye in the Navy HLX-DN series is about 1.06 times (94.28% reciprocal) the dark blue dye in the Navy GL 200% series.
Example 4
The average relative intensity of the dyes is evaluated by adopting a tone scale color sample, and the BSE of different kinds of middle-deep blue dyes is calculated by using a Yang3 formula, and the method comprises the following steps of:
a. taking the first purchase of the pale red dye RE1 as a standard sample and the second purchase of the pale red dye RE2 as a sample, setting the series dyeing concentrations to be 0.11, 0.02, 0.04, 0.07, 0.11, 0.16, 0.22 and 0.3, and carrying out high-temperature and high-pressure dyeing on the plain polyester fabric under the same conditions to obtain the dyeing samples of the sample and the standard sample.
b. Testing and extracting tristimulus values XYZ of the color sample: obtaining a series of color samples RE1 and RE2 in D by testing with an X-Rite spectrocolorimeter 65 Tristimulus values for the illuminant and 10 ° viewing angle are shown in table 4.
TABLE 4 tristimulus values for different batches of purported pale red dyes RE1 and RE2
Figure BDA0003117144720000131
c. Calculating a color intensity value YCD and a relative dye intensity RCS of the color sample: substituting tristimulus values XYZ of the color samples into the formula (15-1) to calculate dye intensities YCD of the series of color samples RE1 and RE2 std And YCD sp The method comprises the steps of carrying out a first treatment on the surface of the The relative intensities RCS of the series of dyes were calculated by substituting equation (14), and the calculation results are shown in Table 5.
TABLE 5 color intensity values YCD and relative dye intensities RCS for different batches of light blue dye BE1 and BE2
Figure BDA0003117144720000132
According to the calculation, the color intensity values of color sample RE2 were slightly higher than those of color sample RE1 over the 8 concentration ranges, and the relative dye intensities of the light red dye purchased for the second time were higher at each concentration than those purchased for the first time, and the relative intensity of the dye purchased for the second time was characterized by the average of the series of concentrations, 100.70%.
The foregoing description of the preferred embodiments of the invention is not intended to be limiting, but rather is intended to cover all modifications, equivalents, alternatives, and improvements that fall within the spirit and scope of the invention.

Claims (8)

1. The method for evaluating the dye strength based on the color depth formula is characterized by comprising the following steps:
(1) Based on the concept of dye intensity and based on the theory of color science foundation and a color depth formula, designing a calculation formula of dye intensity, taking the color depth of a color depth formula Yangn as a color intensity value, and further designing a general dye intensity calculation formula;
(2) According to a color depth formula Yangn (n=1, 2 or 3), combining theoretical analysis and experimental inspection, determining n values suitable for dye intensity, and further determining a calculation formula of color intensity values;
(3) Color samples of the sample and the standard were prepared in parallel: setting the concentration of the required dyeing, and dyeing under standard conditions to respectively prepare a sample and a standard sample of a dyed sample;
(4) Measuring and calculating color intensity values of color samples of the sample and the standard sample: measuring the spectral reflectance rho (lambda) of the sample and the standard sample in the step (3) respectively, calculating or reading XYZ tristimulus values from a color meter, and substituting the XYZ tristimulus values of the sample and the standard sample into the color intensity formula in the step (2) to obtain the color depth Yangn of the dyed sample of the sample and the standard sample, namely the color intensity value Yangn;
(5) Calculating the dye strength: calculating the dye intensity according to the color intensity value Yangn measured in the step (4) and the dye intensity calculation formulas in the steps (1) and (2) by taking the standard sample as a standard;
the dye intensity calculation formula in the step (1) is shown as formula (1):
Figure FDA0004188548250000011
wherein: rcs—dye intensity (Relative Strength of dye);
CSV sp ,CSV std -color intensity values of the sample and the standard (Color Strength Value);
CD sp ,CD std -the dyeing depth of the test sample and the standard sample;
C sp ,C std -staining concentrations of samples and standards;
the CD adopts a color depth value YCD of a Yangn formula, as shown in a formula (2); substituting the formula (3) into the formula (1):
Figure FDA0004188548250000012
Figure FDA0004188548250000013
wherein: ycd—depth value calculated by the Yangn formula (Yang Color Depth);
x, Y, Z-tristimulus values of the colorant;
X 0 ,Y 0 ,Z 0 -pure white/standard white tristimulus values;
YCD sp ,YCD std -color depth of the sample and the standard;
C sp ,C std -staining concentrations of samples and standards.
2. The method according to claim 1, characterized in that: in the step (2), the value of n is determined to obtain the tristimulus value X of pure white/standard white in the formula 0 ,Y 0 ,Z 0 Substituting them into formula (2) can obtain a specific calculation formula.
3. The method according to claim 2, characterized in that: the tristimulus values of pure white/standard white are selected as D 65 For example, according to ASTM E308-08, the data of the tristimulus values of the equivalent white light spectrum of the illuminating body and the field of view of 10 degrees can be directly selected, namely: x is X 0 =94.811,Y 0 =100,Z 0 = 107.304; substituting formula (2) to obtain formulas (2-1) to (2-3), namely at D 65 The intensity of the dye was evaluated under a 10 DEG field of view condition of the illuminator, and selectedThe formula of the formula (I) is calculated;
Figure FDA0004188548250000021
Figure FDA0004188548250000022
Figure FDA0004188548250000023
4. the method according to claim 1, characterized in that: the standard condition in the step (3) refers to that a corresponding dyeing process is selected to dye a color sample according to the type of dye required by dyeing, and the color sample with one concentration can be dyed, and a plurality of concentrations can also be dyed according to the color gradation.
5. The method according to claim 1, characterized in that: the spectral reflectance ρ (λ) in the step (4) is obtained by measuring a color sample with a spectrophotometer or a spectrocolorimeter under the following measurement conditions: at D 65 Calculating tristimulus values of the color sample under the conditions of an illumination body and a 10-degree view field or under the conditions of other illumination bodies and a 2-degree view field; or directly reading tristimulus values of the color sample from various color meters, and substituting the XYZ tristimulus values of the color sample into the dye intensity characterization formula in the step 2) to obtain the color intensity value of the color sample.
6. The method according to claim 1, characterized in that: in the final measured dye intensity result data of the step (5), when RCS is more than 100, the dye intensity of the sample is higher than that of the standard sample; rcs=100, the dye intensities of the samples are equal to the standard; RCS <100, and the dye strength of the sample is lower than that of the standard sample.
7. The method of any one of claims 1-6, wherein: the method is also suitable for evaluating the tinting strength of pigments.
8. The method according to claim 7, wherein: in evaluating the tinting strength of the pigment, the dye is replaced with the pigment, and the dyeing methods of the sample and the standard sample are replaced with the coating printing process.
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