CN102750403B - The recipe determination of a kind of colour-spun yarns color matching and modification method - Google Patents

Abstract

The present invention relates to the recipe determination of a kind of colour-spun yarns color matching and modification method. When current colour-spun yarns adopts computer for colouring, there is 1. " formula is too many, formula deviation big, and once color matching accuracy rate is low ", the two subject matter that 2. " needs artificial experience correction ". The present invention comprises the following steps: (1), according to aim colour spectroscopic data adopt full spectral match algorithm calculate initial formulation; (2), the colour-spun yarns formula assessment models built is utilized to carry out recipe determination; (3), being drawn a design by the optimization formula filtered out, calculate the aberration of spline and aim colour, satisfied requirement then exports formula, otherwise enters recipe correction; (4) the colour-spun yarns recipe correction model adopting structure on original formula basis is modified, and obtains revising after formula spline again, till formula meets and requires. The invention solves colour-spun yarns and adopt " formula is many, it is difficult to screening " that exist during computer for colouring, the problem such as " experiential modification ", substantially increase color matching efficiency.

Description

The recipe determination of a kind of colour-spun yarns color matching and modification method

Technical field

The present invention relates to the householder method of colour-spun yarns computer for colouring, specifically a kind of when colour-spun yarns computer for colouring provide formula preferably with the method for formula second-order correction.

Background technology

The fiber of two or more different colours is spun into the yarn with unique color blending effect by colour-spun yarns after fully mixed. In recent years, this blended colour yarn processing mode raises year by year in the ratio shared by hair, cotton, chemical fibre field.

At wool industry, the production of essence, fancy yarn and sweater substantially all adopts slub dyeing, flock dyeing, through wool top combing, dissipate hair wool blending step mixing color matching or and synthesize the modes such as dyed yarn, produce the wool yarn of colorful fiber or even multicomponent compound, both ensure that the color and luster of same batch products was consistent, can produce again that color stereovision is strong, the elastic sufficient high-grade wool textile of soft handle.

At textile industry, domestic cotton spinning Se Fang enterprise all adopts loose wool to dye, then the flow process of mix spinning of matching colors. Whole nation fiber dyed yarn has the production capacity about 3,000,000 ingots at present, produce about 300,000 tons per year, existing more than 60 cotton spinning enterprise in area, Jiangsu and Zhejiang Provinces produces fiber dyed yarn, production scale and production capacity rise year by year, wherein the ability of Zhejiang Province's colour-spun yarns has accounted for more than the 1/3 of cotton spinning ability, but the kind class produced and international most advanced level still have gap, new product development is not enough, lacks the product having the market competitiveness.

In chemical fibre industry, adopt " original liquid coloring " technical substitution poststaining technique, terylene per ton has only to consume the dyestuff of traditional dyeing 10～20%, saves the operations such as dye pre-treatment, high-temperature pressure dyeing and dye rear complementary color simultaneously, makes coloring process be truly realized low energy consumption, zero-emission. The fiber that this environmental protection mode of production produces must flow through colour mixture and could meet consumer's demand to various colors.

But the ubiquity color matching problem that accuracy is low, speed is slow and product development is not enough in colour-spun yarns enterprise produces, color instrument famous in the world at present and software supplier Datacolor and X-rite company have the digitized color matching software of dyestuff, but are not all suitable for the color matching of colour-spun yarns. The commonly used artificial experience of factory is drawn a design, and the cycle of sample is very long, thus have impact on the time of delivery of processing according to investor's samples and for the fast-changing product development in market.

Although the research of the computer for colouring theory of colour-spun yarns all has some research reports both at home and abroad, being concentrated mainly on theoretical research, including Stearns-Noechel model, Friele model, Kubelka-Munk is theoretical. And " formula is too many ", " formula deviation is big " the two subject matter existed when practical application, how to improve not correlational study report.

Summary of the invention

The technical problem to be solved is to overcome above-mentioned existing colour-spun yarns to adopt the defect that computer for colouring exists, a kind of method that quick and precisely screening formula and recipe correction are provided, namely provide in reference formulation in computer for colouring, set up a kind of rapid screening algorithm meeting colour-spun yarns computer for colouring feature, filter out optimization formula, and the formula that aberration after drawing a design is still bigger, a kind of modification method on existing formula basis is provided, amendment scheme is provided by the method, realize colour-spun yarns fast proofing, improve the intelligent level of computer for colouring, improve enterprises production efficiency.

For this, the present invention adopts the following technical scheme that: the recipe determination of a kind of colour-spun yarns color matching and modification method, it is characterised in that comprise the following steps:

(1) full spectral match algorithm is adopted to calculate initial formulation according to aim colour spectroscopic data.

The basis that the present invention sets up is on full spectral match algorithm basis, and the spectral reflectivity that the purpose of full spectral match algorithm is so that is close or even identical with the reflectance of aim colour, by the full spectral match algorithm of colour-spun yarns, it is thus achieved that initial formulation.

(2) the colour-spun yarns formula assessment models built is utilized to carry out recipe determination.

In numerous initial formulation, adopt the formula assessment models meeting colour-spun yarns computer for colouring feature set up to carry out recipe determination, filter out optimization formula.

(3) being drawn a design by the optimization formula filtered out, it is thus achieved that spline, calculate the aberration of spline and aim colour, satisfied requirement then exports formula, otherwise enters recipe correction.

According to optimization formula, carrying out spline trial-production, by the spline of making after colour examining, carry out aberration with aim colour and compare, the tolerance that aberration reaches to set requires then to export formula, proceeds to full-page proof and produces; If aberration is more than the tolerance set, then proceeds to next step, carry out recipe correction.

(4) the colour-spun yarns recipe correction model adopting structure on original formula basis is modified, and obtains revising after formula spline again, till formula meets and requires.

Due to color matching model deviation, color blending technique is inconsistent, the difference etc. of operator, occur once match colors result inaccurate be the phenomenon often having, therefore on original formula basis, adopt tristimulus values matching algorithm, in conjunction with error evaluation, set up the recipe correction model of colour-spun yarns, carry out formula second-order correction, till formula meets requirement.

In above-mentioned color matching method, the full spectral match algorithm used in wherein said step (1) is that initial formulation matching color meets with aim colour:

$R_{\mathrm{\λ}}^s\≈R_{\mathrm{\λ}}^m---\left(1\right)$

In formulaRepresent the aim colour reflectance in af at wavelength lambda;Represent the initial formulation matching color reflectance in af at wavelength lambda.Directly aim colour colour examining can be obtained by spectrophotometer,Being obtained by the monochromatic combination chosen in data base is mixed, its value is obtained by formula (2) backwards calculation.

$f\left(R_{\mathrm{\λ}}^m\right)=\underset{i=1}{\overset{n}{\Σ}}{x}_{i}f\left(R_{\mathrm{\λ}}^i\right)---\left(2\right)$

In above formula: x_iRepresent the mass ratio shared by i component monochrome in fabric; F (R_λ) representing colour-spun yarns color matching model expression formula, conventional expression formula has the expression formula (3) of Stearns-Noechel model.

$f\left(R_{\mathrm{\λ}}\right)=\frac{1-R_{\mathrm{\λ}}}{b(R_{\mathrm{\λ}}-0.01)+0.01}---\left(3\right)$

B value in formula is constant, it is necessary to according to different fibers from Row sum-equal matrix. Here conventional fiber such as following table is recommended:

Note: due to the count of yarn, fiber quality, the difference of spinning process etc., b value also needs to adjust further according to practical situation.

According to formula (1), (2), (3) use full spectral match Algorithm for Solving initial formulation (And x_i); Method of least square is adopted to make the difference of the curve of spectrum of initial formulation matching color and the curve of spectrum of aim colour reach minimum.

That is: $f\left(R_{\mathrm{\λ}}^s\right)\≈f\left(R_{\mathrm{\λ}}^m\right)=x_{1}f\left(R_{\mathrm{\λ}}^1\right)+x_{2}f\left(R_{\mathrm{\λ}}^2\right)+x_{3}f\left(R_{\mathrm{\λ}}^3\right)+L+x_{n}f\left(R_{\mathrm{\λ}}^n\right)$

λ takes visible wavelength 400～700nm scope, conventional spectral light spectrometer can the reflectance of test wavelength interval 10nm,

If: target sample $F^{\left(S\right)}=\left[\begin{array}{c}f\left(R_{400}^s\right)\\ f\left(R_{410}^s\right)\\ M\\ f\left(R_{700}^s\right)\end{array}\right],$ Matching tinctorial pattern $F^{\left(m\right)}=\left[\begin{array}{c}f\left(R_{400}^m\right)\\ f\left(R_{410}^m\right)\\ M\\ f\left(R_{700}^m\right)\end{array}\right],$ Proportion of composing $X=\left[\begin{array}{c}{x}_1\\ x_2\\ x_3\\ M\\ x_n\end{array}\right]$

Monochromatic fiber in data base is constituted $F=\left[\begin{array}{ccccc}f\left(R_{400}^1\right)& f\left(R_{400}^2\right)& f\left(R_{400}^3\right)& L& f\left(R_{400}^n\right)\\ f\left(R_{410}^1\right)& f\left(R_{410}^2\right)& f\left(R_{410}^3\right)& L& f\left(R_{410}^n\right)\\ M& M& M& O& M\\ f\left(R_{700}^1\right)& f\left(R_{700}^2\right)& f\left(R_{700}^3\right)& L& f\left(R_{700}^n\right)\end{array}\right],$

Then: F^(S)≈F^(m), obtain F^(S)≈F×X(4)

Equation (4) is 31 equation solution unknown quantitys, monochromatic in conventional formulation composition≤5, therefore uses method of least square solving equation group

$\mathrm{\Δ}=min\left\{\underset{\mathrm{\λ}=400}{\overset{700}{\Σ}}{\[f{\left(R\right)}_{\mathrm{\λ}}^{\left(s\right)}-x_{1}f{\left(R\right)}_{\mathrm{\λ}}^{\left(1\right)}-x_{2}f{\left(R\right)}_{\mathrm{\λ}}^{\left(2\right)}-x_{3}f{\left(R\right)}_{\mathrm{\λ}}^{\left(3\right)}-L-x_{n}f{\left(R\right)}_{\mathrm{\λ}}^{\left(n\right)}\]}^2\right\}$

Obtain: X=(F^T×F)^-1×F^T×F^(S)

This full spectral match algorithm can solve initial formulation X=[x₁x₂x₃Lx_n]^T, but the formula that obtains of this full spectral match algorithm be aim colour with initial formulation matching color reflectance close, x₁+x₂+x₃+…+x_nSum needs not be equal to 100%, and in actual production, formula composition mass ratio sum is necessary for 100%.

In above-mentioned color matching method, wherein in step (2), first initial formulation is normalized before using colour-spun yarns formula assessment models, the ratio sum making each monochromatic fiber adopted in the initial formulation that calculating obtains is 100%, meet and realize producing needs, then adopt formula assessment models to carry out recipe determination on this basis.

If: $\begin{array}{c}{x}_1^{\′}=\frac{x_1}{x_1+x_3+x_3+L+x_n}\\ x_2^{\′}=\frac{x_1}{x_1+x_3+x_3+L+x_n}\\ M\\ x_n^{\′}=\frac{x_n}{x_1+x_3+x_3+L+x_n}\end{array}$ Obvious x '₁+x'₂+x'₃+L+x'_n=1,

Therefore may make up new $f\left(R_{\mathrm{\λ}}^t\right)=x_1^{\′}f\left(R_{\mathrm{\λ}}^1\right)+x_2^{\′}f\left(R_{\mathrm{\λ}}^2\right)+x_3^{\′}f\left(R_{\mathrm{\λ}}^3\right)+L+x_n^{\′}f\left(R_{\mathrm{\λ}}^n\right),$ Reversely can be calculated by formula (3) and obtainAfter representing initial formulation normalization, matching color is at the reflectance of af at wavelength lambda, so co-exists in three reflectanceMutual aberration can be calculated, use Δ E_msRepresentWithAberration, use Δ E_tsRepresentWithAberration, use Δ E_tmRepresentWithAberration.

ΔE_tmFor the deviation aberration size that normalization brings, this value is more little, illustrates that formula proportion sum is closer to 1, and formula is more good.

ΔE_tsFor the forecast aberration of formula after normalization, this value is actual forecast aberration, therefore good formula it may first have to meet Δ E_tsLess.

ΔE_msForecasting aberration for full spectral match algorithm, this value is more little, it was shown that there is monochromatic combination close to aim colour.

The feature of comprehensive three aberration, sets up Δ A=[(Δ E_ts)²+(100×ΔE_tm)²+(ΔE_ms)²]^1/2Error evaluation algorithm, i.e. formula assessment models. Using new Δ A as recipe determination method, this value is more little, and formula is more excellent.

In above-mentioned color matching method, the aberration described in wherein said step (3) adopts CMC (2:1) colour difference formula to calculate, and at field of textiles, that tolerance is stricter is Δ E_CMC(2:1)≤ 0.6, looser be set to Δ E_{CMC (2:1)}≤ 1, the tolerance of colour-spun yarns recommends Δ A≤0.8 as thresholding, it is also possible to the feature according to self product, and this threshold value is adjusted accordingly.

In above-mentioned color matching method, the recipe correction model described in wherein said step (4) is recorded by after the actual spline of optimization formulaWithExistence aberration, due to after once full spectrum is drawn a design, the aberration existed is often less, therefore the spectrum isomerism of especially severe it is absent from, namely on any one wavelength, the reflectivity of formula differs less big with the respective value of target sample, therefore tristimulus values color matching method can be adopted to adjust formula further, its reasoning expression formula is:

Δ x is to make Δ t reduce to the variable needed for zero, definition:

$\mathrm{\Δ}t=\left[\begin{array}{c}\mathrm{\Δ}X\\ \mathrm{\Δ}Y\\ \mathrm{\Δ}Z\end{array}\right]=\left[\begin{array}{c}{X}^{\left(s\right)}-X^{\left(m\right)}\\ Y^{\left(s\right)}-Y^{\left(m\right)}\\ Z^{\left(s\right)}-Z^{\left(m\right)}\end{array}\right],$ Δ t=TS (R^(s)-R^(m))

$R_{\mathrm{\λ}}^{\left(s\right)}-R_{\mathrm{\λ}}^{\left(m\right)}=\[\frac{{\mathrm{dR}}_{\mathrm{\λ}}}{df{\left(R\right)}_{\mathrm{\λ}}}\]\mathrm{\Δ}f\left(R\right)\mathrm{\λ}=\[\frac{{\mathrm{dR}}_{\mathrm{\λ}}}{df{\left(R\right)}_{\mathrm{\λ}}}\]\[f{\left(R\right)}_{\mathrm{\λ}}^{\left(s\right)}-f{\left(R\right)}_{\mathrm{\λ}}^{\left(m\right)}\]$

Then there is Δ t=TSD [F^(S)-F^(m)]=TSD Φ Δ X

Wherein: $T=\left[\begin{array}{cccc}{\stackrel{\‾}{\mathrm{\χ}}}_{400}& {\stackrel{\‾}{\mathrm{\χ}}}_{410}& L& {\stackrel{\‾}{\mathrm{\χ}}}_{700}\\ {\stackrel{\‾}{y}}_{400}& {\stackrel{\‾}{y}}_{410}& L& {\stackrel{\‾}{y}}_{700}\\ {\stackrel{\‾}{z}}_{400}& {\stackrel{\‾}{z}}_{410}& L& {\stackrel{\‾}{z}}_{700}\end{array}\right],$ $S=\left[\begin{array}{cccc}{S}_{400}& & & 0\\ & S_{410}& & \\ & & O& \\ 0& & & S_{700}\end{array}\right],$

$D=\left[\begin{array}{cccc}{d}_{400}& 0& L& 0\\ 0& d_{410}& L& 0\\ M& M& O& M\\ 0& 0& L& d_{700}\end{array}\right],$ $d_{\mathrm{\λ}}=\frac{{\mathrm{dR}}_{\mathrm{\λ}}}{df{\left(R\right)}_{\mathrm{\λ}}}=\frac{-(0.01+0.99b)}{{\[bf{\left(R\right)}_{\mathrm{\λ}}+1\]}^2}$

$\mathrm{\Φ}=\left[\begin{array}{ccccc}f\left(R_{400}^1\right)& f\left(R_{400}^2\right)& f\left(R_{400}^3\right)& L& f\left(R_{400}^n\right)\\ f\left(R_{410}^1\right)& f\left(R_{410}^2\right)& f\left(R_{410}^3\right)& L& f\left(R_{410}^n\right)\\ M& M& M& O& M\\ f\left(R_{700}^1\right)& f\left(R_{700}^2\right)& f\left(R_{700}^3\right)& L& f\left(R_{700}^n\right)\end{array}\right]$ $\mathrm{\Δ}X=\left[\begin{array}{c}V{x}_1\\ {\mathrm{Vx}}_2\\ {\mathrm{Vx}}_3\\ M\\ V{x}_n\end{array}\right]$

It addition, former ratio sum must be kept to remain as 1 after revising, it is therefore necessary to meet Vx₁+Vx₂+Vx₃+L+Vx_n=0

In sum, setting up recipe correction model is:

Δ U=w Δ X

Wherein: $\mathrm{\Δ}U=\left[\begin{array}{c}\mathrm{\Δ}X\\ \mathrm{\Δ}Y\\ \mathrm{\Δ}Z\\ 0\end{array}\right],$ $w=\left[\begin{array}{cccc}{x}^1& x^2& L& x^n\\ y^1& y^2& L& y^n\\ z^1& z^2& L& z^n\\ 1& 1& L& 1\end{array}\right],$ $\mathrm{\Δ}X=\left[\begin{array}{c}V{x}_1\\ {\mathrm{Vx}}_2\\ {\mathrm{Vx}}_3\\ M\\ V{x}_n\end{array}\right],$ N is natural number, and correspondence participates in the monochromatic fiber of color matching respectively.

$y^i={\stackrel{\‾}{y}}_{400}{S}_{400}{d}_{400}f\left(R_{400}^i\right)+{\stackrel{\‾}{y}}_{410}{S}_{410}{d}_{410}f\left(R_{410}^i\right)+L+{\stackrel{\‾}{y}}_{700}{S}_{700}{d}_{700}f\left(R_{700}^i\right)$

$z^i={\stackrel{\‾}{z}}_{400}{S}_{400}{d}_{400}f\left(R_{400}^i\right)+{\stackrel{\‾}{z}}_{410}{S}_{410}{d}_{410}f\left(R_{410}^i\right)+L+{\stackrel{\‾}{z}}_{700}{S}_{700}{d}_{700}f\left(R_{700}^i\right),$ I takes 1,2,3 ... n, f (R_λ) meet f (R_λ)=(1-R_λ)/[b(R_λ-0.01)+0.01])。

Equation group has four equations, is the underdetermined system of equations as n > 4, and equation has many solutions, when n≤4, adopts method of least square, and equation has unique solution. But in the color matching that color spins, the monochromatic sample participating in during formula adjustment adjusting is more few, more easy success. Therefore build Adjusted Option within 4 colors, adopt method of least square to obtain Δ X=(w^T×w)^-1×w^T× Δ U,

Obtain the recipe ratio after adjusting to be classified as: $X=\left[\begin{array}{c}{x}_1+V{x}_1\\ x_2+{\mathrm{Vx}}_2\\ x_3+{\mathrm{Vx}}_3\\ M\\ x_n+V{x}_n\end{array}\right].$

Compared with prior art, the method have the advantages that

The present invention is after full spectral match algorithm provides initial formulation, set up a kind of rapid screening method, filter out optimization formula and the formula that aberration after drawing a design is still bigger, it is provided that a kind of modification method, achieve the second-order correction method of formula quality assessment and the formula that computer is provided, solve colour-spun yarns and adopt " formula is many, it is difficult to screening " that exist during computer for colouring, the problem such as " experiential modification ", can effectively help color matching efficiency, be greatly improved color matching success rate.

The present invention is by setting up and producing the actual auxiliary formula combined screening and recipe correction, compensate for lacking experience of technical staff and bring repeated trials, color matching accuracy rate is low, the problems such as color matching time length, the computer for colouring technology of colour-spun yarns is pushed to practical, reduce further the dependency produced experience, the work efficiency of color matching personnel will be greatly improved, produce obvious economic benefit.

Below in conjunction with specification drawings and specific embodiments, the invention will be further described.

Accompanying drawing explanation

Fig. 1 is the schematic flow sheet of the present invention.

Fig. 2 is the aim colour pictorial diagram in the embodiment of the present invention.

Fig. 3 is the formula 1# material object spline photo in the embodiment of the present invention.

Fig. 4 is the formula 2# material object spline photo in the embodiment of the present invention.

Fig. 5 is the correction formula 2# material object spline photo in the embodiment of the present invention.

Detailed description of the invention

The present invention specifically comprises the following steps that

(1) full spectral match algorithm is adopted to calculate initial formulation according to aim colour spectroscopic data;

Aim colour is obtained by spectral luminosity instrument colour examiningWave-length coverage selects 400～700nm, is spaced apart 10nm, totally 31 data, and in Table 1, material is cotton fiber, and yams is 30;

Select the monochrome in data baseMatch colors (Rear typing after tested in advance, in Table 1), i is natural number, represents different monochromatic fibers, and monochromatic fiber selects more many, and meeting the formula required also can be more many, and experience is screened more difficult.

The reflectivity data of monochromatic fiber in aim colour that table 1 spectrum records and data base

Assuming that it is desired that obtain by 3 monochromatic formula formed. Then

$\left\{\begin{array}{c}f{\left(R\right)}_{400}^S=x_{1}f{\left(R\right)}_{400}^1+x_{2}f{\left(R\right)}_{400}^2+x_{3}f{\left(R\right)}_{400}^3\\ f{\left(R\right)}_{410}^S=x_{1}f{\left(R\right)}_{410}^1+x_{2}f{\left(R\right)}_{410}^2+x_{3}f{\left(R\right)}_{410}^3\\ M\\ f{\left(R\right)}_{700}^S=x_{1}f{\left(R\right)}_{700}^1+x_{2}f{\left(R\right)}_{700}^2+x_{3}f{\left(R\right)}_{700}^3\end{array}\right.---\left(5\right)$

Wherein, f (R)_λRepresent the expression formula (1) of colour mixture model, x in formula_iRepresenting the mass ratio of each monochromatic fiber, subscript " s " represents aim colour.

Owing to equation (5) is 3 unknown quantitys of 31 equation solutions, equation has multiple solution, adopts method of least square solving equation group for this, makes:

$min\left\{\underset{\mathrm{\λ}=400}{\overset{700}{\Σ}}{\[f{\left(R\right)}_{\mathrm{\λ}}^s-x_{1}f{\left(R\right)}_{\mathrm{\λ}}^1-x_{2}f{\left(R\right)}_{\mathrm{\λ}}^2-x_{3}f{\left(R\right)}_{\mathrm{\λ}}^3\]}^2\right\}\→0$

Solve: X=(F^T×F)^-1×F^T×F^(S)

Wherein: ratio $X=\left[\begin{array}{c}{x}_1\\ x_2\\ x_3\end{array}\right],$ $F=\left[\begin{array}{ccc}f{\left(R\right)}_{400}^{\left(1\right)}& f{\left(R\right)}_{400}^{\left(2\right)}& f{\left(R\right)}_{400}^{\left(3\right)}\\ f{\left(R\right)}_{410}^{\left(1\right)}& f{\left(R\right)}_{410}^{\left(2\right)}& f{\left(R\right)}_{410}^{\left(3\right)}\\ M& M& M\\ f{\left(R\right)}_{700}^{\left(1\right)}& f{\left(R\right)}_{700}^{\left(2\right)}& f{\left(R\right)}_{700}^{\left(3\right)}\end{array}\right],$ Target sample $F^{\left(S\right)}=\left[\begin{array}{c}f{\left(R\right)}_{400}^{\left(s\right)}\\ f{\left(R\right)}_{410}^{\left(s\right)}\\ M\\ f{\left(R\right)}_{700}^{\left(s\right)}\end{array}\right],$ Obtain formula such as following table:

Table 1 is matched colors result

(2) the colour-spun yarns formula assessment models built is utilized to carry out recipe determination;

First initial formulation ratio is normalized, x '₁=100% × x₁/(x₁+x₃+x₃), x'₂=100% × x₂/(x₁+x₃+x₃), x '₃=100% × x₃/(x₁+x₃+x₃) obtain X'=[x '₁x'₂x'₃]^T, bySubstitute into formula (2) with X, formula (3) backwards calculation obtainIn like manner, it is possible to byCalculate with X'Use colour difference formula CMC_(2:1)Can calculate and obtain Δ E_ms, Δ E_ts, Δ E_tm。

And then can calculate and obtain Δ A=[(Δ E_ts)²+(100×ΔE_tm)²+(ΔE_ms)²]^1/2Error evaluation algorithm, concrete data are in the formula assessed value Δ A in Table 1.

CMC_(2:1)Colorimetry formula is:

ΔE_CMC(2:1)=[(Δ L/2S_L)²+(ΔC/1Sc)²+(ΔH/S_H)²]^1/2

S_L=0.040975L/ (1+0.01765L)

When L < when 16, S_L=0.511

Sc=0.0638C/ (1+0.131C)+0.638

S_H=Sc (Tf+1-f)

F=[C⁴/(C⁴+1900)]^1/2

T=0.56+ 0.2cos (h+168)

When 164 ° < when h < 345 °

T=0.38+ 0.4cos (h+35)

H=arctan (b^*/a^*)

C=(a^{* 2}+b^{* 2})^1/3

Δ H=[(Δ E_CIELAB)²-(ΔL)²-(ΔC)²]^1/2

L^*=116 (Y/Y₀]^1/3–16

a^*=500 [(X/X₀)^1/3-(Y/Y₀)^1/3]

b^*=200 [(Y/Y₀)^1/3-(Z/Z₀)^1/3]

In calculating process, it is desirable to X/X₀, Y/Y₀, Z/Z₀It is both needed to more than 0.008856, if there is not meeting, then adopts following formula to calculate L, a^*、b^*Value

f(X/X₀)=7.787 (X/X₀)+16/116

f(Y/Y₀)=7.787 (Y/Y₀)+16/116

f(Z/Z₀)=7.787 (Z/Z₀)+16/116

L^*=903.3 (Y/Y₀)

a^*=500 [f (X/X₀)-f(Y/Y₀)]

b^*=200 [f (Y/Y₀)-f(Z/Z₀)]

X, Y, Z are that test sample is at D₆₅Tristimulus values under 10 ° of visual fields of light source, its value can be calculated by sample reflectance and obtain. X₀、Y₀、Z₀D for ideal white object₆₅10 ° of visual field tristimulus values of light source, X₀=94.825, Y₀=100.000, Z₀=107.381.

The computing formula of tristimulus values is as follows:

$X=k\underset{400}{\overset{700}{\&Sigma;}}S\left(\mathrm{\&lambda;}\right)\stackrel{\&OverBar;}{x}\left(\mathrm{\&lambda;}\right)R\left(\mathrm{\&lambda;}\right)\mathrm{\&Delta;}\mathrm{\&lambda;}$

$Y=k\underset{400}{\overset{700}{\&Sigma;}}S\left(\mathrm{\&lambda;}\right)\stackrel{\&OverBar;}{y}\left(\mathrm{\&lambda;}\right)R\left(\mathrm{\&lambda;}\right)\mathrm{\&Delta;}\mathrm{\&lambda;}$

$Z=k\underset{400}{\overset{700}{\&Sigma;}}S\left(\mathrm{\&lambda;}\right)\stackrel{\&OverBar;}{z}\left(\mathrm{\&lambda;}\right)R\left(\mathrm{\&lambda;}\right)\mathrm{\&Delta;}\mathrm{\&lambda;}$

Wherein,S (λ) is the relative spectral power distributions of CIE standard illuminants,Being CIE standard colorimetric observer's color matching functions, this value has CIE standard illuminants committee to provide. Therefore only it is to be understood thatJust mutual CMC can be calculated_(2∶1)Aberration.

(3) being drawn a design by the optimization formula filtered out, calculate the aberration of spline and aim colour, satisfied requirement then exports formula, otherwise enters recipe correction;

According to formula assessment models screen optimization formula is: 2#, it is assumed that not having this assessment models, generally we can select forecast aberration minimum, the formula 1# that obtains. For the ease of comparing, two formula are drawn a design, obtain spline (Fig. 4 is 2# scanning figure, Fig. 3 is 1# scanning figure).

Spline is obtained after spectrogrph is testedCalculateWithAberration to obtain the aberration of 2# spline and aim colour be 0.87, and 1# is 1.01, illustrates that the formula selected according to formula assessment models is more excellent.

If client thinks that 2# spline has met requirement, then print formula, enter full-page proof and produce. Otherwise, enter next step recipe correction, to obtain more accurate formula.

(4) the colour-spun yarns recipe correction model adopting structure on original formula basis is modified, and obtains revising after formula spline again, till formula meets and requires.

According to recipe correction model Δ U=w Δ X

Wherein: $w=\left[\begin{array}{ccc}{x}^1& x^2& x^3\\ y^1& y^2& y^3\\ z^1& z^2& z^3\\ 1& 1& 1\end{array}\right],$ $\mathrm{\&Delta;}X=\left[\begin{array}{c}V{x}_1\\ {\mathrm{Vx}}_2\\ {\mathrm{Vx}}_3\end{array}\right],$ $\mathrm{\&Delta;}U=\left[\begin{array}{c}\mathrm{\&Delta;}X\\ \mathrm{\&Delta;}Y\\ \mathrm{\&Delta;}Z\\ 0\end{array}\right]$

$x^i={\stackrel{\&OverBar;}{\mathrm{\&chi;}}}_{400}{S}_{400}{d}_{400}f\left(R_{400}^i\right)+{\stackrel{\&OverBar;}{\mathrm{\&chi;}}}_{410}{S}_{410}{d}_{410}f\left(R_{410}^i\right)+L+{\stackrel{\&OverBar;}{\mathrm{\&chi;}}}_{700}{S}_{700}{d}_{700}f\left(R_{700}^i\right)$

$y^i={\stackrel{\&OverBar;}{y}}_{400}{S}_{400}{d}_{400}f\left(R_{400}^i\right)+{\stackrel{\&OverBar;}{y}}_{410}{S}_{410}{d}_{410}f\left(R_{410}^i\right)+L+{\stackrel{\&OverBar;}{y}}_{700}{S}_{700}{d}_{700}f\left(R_{700}^i\right)$

$z^i={\stackrel{\&OverBar;}{z}}_{400}{S}_{400}{d}_{400}f\left(R_{400}^i\right)+{\stackrel{\&OverBar;}{z}}_{410}{S}_{410}{d}_{410}f\left(R_{410}^i\right)+L+{\stackrel{\&OverBar;}{z}}_{700}{S}_{700}{d}_{700}f\left(R_{700}^i\right),$ I takes 1,2,3 substitution equation.

Δ X=(w is solved according to method of least square^T×w)^-1×w^T×ΔU。

Calculate the correction formula obtaining 2# in Table 2:

Formula revised by table 2

Claims (2)

1. the recipe determination of colour-spun yarns color matching and modification method, it is characterised in that comprise the following steps:

(1) full spectral match algorithm is adopted to calculate initial formulation according to aim colour spectroscopic data;

(2) the colour-spun yarns formula assessment models built is utilized to carry out recipe determination;

(3) being drawn a design by the optimization formula filtered out, obtain spline, calculate the aberration of spline and aim colour, satisfied requirement then exports formula, otherwise enters recipe correction;

(4) the colour-spun yarns recipe correction model adopting structure on original formula basis is modified, and obtains revising after formula spline again, till formula meets and requires;

In step (1), described full spectral match algorithm is that initial formulation matching color meets with aim colour:In formulaRepresent the aim colour reflectance in af at wavelength lambda;Represent by the initial formulation matching color reflectance in af at wavelength lambda;

In step (2), the mass ratio sum of each monochromatic fiber adopted in the initial formulation first making calculating obtain with method for normalizing is 100%, meets and realizes producing needs, then carries out recipe determination by formula assessment models again;

The colour-spun yarns formula assessment models adopted in step (2) is Δ A=[(Δ E_ts)²+(100×ΔE_tm)²+(ΔE_ms)²]^1/2, wherein Δ E_tsForWithAberration, Δ E_msForWithAberration, Δ E_tmForWithAberration,After expression initial formulation normalization, the matching color of acquisition is at the reflectance of af at wavelength lambda,Represent the aim colour reflectance in af at wavelength lambda,Represent the initial formulation matching color reflectance in af at wavelength lambda; Aberration all adopts CMC_2:1Colour difference formula calculates.

2. colour-spun yarns according to claim 1 color matching recipe determination and modification method, it is characterised in that the matching color in step (1) and in step (2) colour-spun yarns formula assessment models byThe Fitting Calculation obtains,For the reflectance of the monochromatic fiber in formula, x_iFor corresponding mass ratio, f (R_λ) meet f (R_λ)=(1-R_λ)/[b(R_λ-0.01)+0.01], wherein b is the parameter relevant with kinds of fibers.