CN106469258A - A kind of colored fibre mixing color matching method theoretical based on double constant Kubelka Munk - Google Patents

A kind of colored fibre mixing color matching method theoretical based on double constant Kubelka Munk Download PDF

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CN106469258A
CN106469258A CN201610858998.8A CN201610858998A CN106469258A CN 106469258 A CN106469258 A CN 106469258A CN 201610858998 A CN201610858998 A CN 201610858998A CN 106469258 A CN106469258 A CN 106469258A
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colored fibre
sample
absorptance
scattering coefficient
colored
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CN106469258B (en
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万晓霞
李俊锋
位春傲
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Wuhan University WHU
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    • DTEXTILES; PAPER
    • D01NATURAL OR MAN-MADE THREADS OR FIBRES; SPINNING
    • D01GPRELIMINARY TREATMENT OF FIBRES, e.g. FOR SPINNING
    • D01G13/00Mixing, e.g. blending, fibres; Mixing non-fibrous materials with fibres
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N21/00Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
    • G01N21/17Systems in which incident light is modified in accordance with the properties of the material investigated
    • G01N21/55Specular reflectivity
    • GPHYSICS
    • G16INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
    • G16ZINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS, NOT OTHERWISE PROVIDED FOR
    • G16Z99/00Subject matter not provided for in other main groups of this subclass

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Abstract

The present invention relates to a kind of colored fibre mixing color matching method theoretical based on double constant Kubelka Munk, belong to color spinning technique field.Solve the preparation of sample including colored fibre scattering coefficient and absorptance;The measurement of sample spectrum reflectance and visible spectrum data cutout;The MIR correction of actual measurement visible spectrum reflectivity data;Colored fibre scattering coefficient and absorptance solve;The measurement of target sample spectral reflectivity and visible spectrum data cutout;The colored fibre proportioning prediction matching with target sample color.The present invention can obtain ideal proportioning on the premise of reducing sample preparation quantity and predict the outcome, and easy to implement, spin colored fibre mixing color matching field in color and have the stronger suitability.

Description

A kind of colored fibre mixing color matching method based on double Kubelka-Munk Theory and Two Constants
Technical field
The invention belongs to color spinning technique field is and in particular to a kind of coloured fibre based on double Kubelka-Munk Theory and Two Constants Dimension mixing color matching method.
Background technology
Colour-spun yarns are first fiber to be dyed colored fibre, then will be abundant for the colored fibre of two or more different colours Mixing, the yarn with special color effect of spinning.With the poststaining that first spins, or yarn is made into after cloth dyes again Traditional processing technology compare, colour-spun yarns technique has significant advantage at aspects such as energy-conservation, reduction of discharging, environmental protection.On the other hand, reason The colored fibre mixing spinning of different colours forms, and colour-spun yarns can present multiple color on same husky line, uses colour-spun yarns The fabric gradation being made into enriches, and has dim stereoeffect and texture, favored by consumers.Currently, color spins industry Become the rising industry of textile industry.
Se Fang enterprise, with client's sample for target sample, relies on color matching personnel's experience after selecting colored fibre species used, Find suitable colored fibre part by weight (proportioning) by way of multiple examination is spun and drawn a design, realize coloured with the mixing of this proportioning The consistent coupling producing sample and target sample colouring information that fibre spinning goes out, thus reach customer requirement.Using Man-made Color Matching, past Toward speed is slow, efficiency is low, low precision, repeatedly examination spinning draw a design also waste huge.For realizing efficient digitized color matching, reduce the time Waste with goods and materials, the color that need to set up science spins color prediction model.By colored fibre proportioning, the production sample face of prediction mixing spinning The model of color, referred to as positive spectral prediction model;By target sample color, predict the model of its each brown stock proportioning, referred to as instead To proportioning forecast model.In above process, reverse proportioning forecast model based on positive spectral prediction model it is considered to be How accurately to realize the reversion of forward model, substantially the nonlinear optimization process of belt restraining.
Currently, industry has pointed out multiple color prediction model, such as Stearns-Noechel model, Friele model and double Kubelka-Munk Theory and Two Constants etc..Wherein, double Kubelka-Munk Theory and Two Constants by colored fibre scattering coefficient and absorb system The mixing of number is considered as linear system, and by homogeneity between colored fibre scattering coefficient and absorptance and its proportioning, and difference has Additivity between color fibre scattering coefficient and absorptance, set up each colored fibre scattering coefficient and absorptance mixed after Aggregate sample scattering coefficient and absorptance between association, resettle aggregate sample scattering coefficient and absorptance and its spectral reflectance Association between rate, thus realize the foundation of association between colored fibre proportioning and aggregate sample color.Using this theory one Important prerequisite is it needs to be determined that the scattering coefficient of colored fibre and absorptance.For obtaining higher precision of prediction, industry often needs The colored fibre aggregate sample that preparation mixes in a large number in various proportions, obtains the scattering coefficient of each colored fibre by linear regression method And absorptance.This sample preparation " requirement " limits double applications in actual production for the Kubelka-Munk Theory and Two Constants.The opposing party There is the change of refractive index, this discontinuity change at face, aggregate sample and air interface, lead to light to go out inside aggregate sample Existing MIR phenomenon.The spectral reflectivity of measurement is result after MIR for the light, and Kubelka-Munk reason By describing, light, in aggregate sample in the layer transmitting procedure, does not consider the refractive index discontinuity problem of interface intersection, For this reason, before using double Kubelka-Munk Theory and Two Constants, the spectral value of measurement need to be revised.
Content of the invention
The invention aims to problem described in solution background technology, one kind is proposed based on double constant Kubelka- The theoretical colored fibre mixing color matching method of Munk.
The technical scheme is that:
A kind of colored fibre mixing color matching method based on double Kubelka-Munk Theory and Two Constants is it is characterised in that include Following steps:
Step 1, selectes a kind of colored fibre as reference standard, one proportioning of preparation is 100% calibration sample;
Step 2, for n kind colored fibre, prepares the one pack system colored fibre sample that proportioning is 100%, n kind single group altogether Divide colored fibre sample, then by each colored fibre with c:(1-c) proportioning is mixed with the calibration colored fibre of step 1, prepares n Plant aggregate sample sample, as the solution sample of each colored fibre scattering coefficient and absorptance;
Step 3, the spectral reflectivity of each sample of measuring process 1 and step 2 preparation, and intercept the light in visible-range Spectrum reflectivity data;
Step 4, the spectral reflectivity that step 3 is measured with the sample of gained carries out MIR correction, obtains after revising Spectral reflectance data;
Step 5, the revised spectral reflectance data being obtained by step 4, obtain the absorptance of each sample and dissipate Penetrate coefficient ratio, specifically:
If n kind colored fibre does not comprise the calibration colored fibre S of step 1, can obtain 2n+1 sample amounts to 2n+1 Individual absorptance and scattering coefficient ratio;
If n kind colored fibre contains the calibration colored fibre S of step 1, can obtain 2n-1 sample amounts to 2n-1 Absorptance and scattering coefficient ratio;
Step 6, by the calibration scattering coefficient s in visible-range for the sample of step 1SIt is set to constant 1, obtained by following formula Its absorptance kSFor
Wherein, RSIt is the spectral reflectance data through step 4 revised calibration sample;
Step 7, the absorptance of each sample being obtained by step 5 and scattering coefficient ratio, and step 6 calibration colored fibre Scattering coefficient sSWith absorptance kS, determine the scattering coefficient s of each colored fibre1,s2,...,snWith absorptance k1, k2,...,kn, specifically:
If n kind colored fibre does not comprise the calibration colored fibre S of step 1, obtain n kind colored fibre scattering coefficient and N kind absorptance;
If n kind colored fibre contains the calibration colored fibre S of step 1, make scattering coefficient s1=sS, absorptance k1= kS
Step 8, to be measured the spectral reflectivity of target sample with step 3 identical mode, and is intercepted in visible-range Spectral reflectance data;
Step 9, the scattering coefficient of each colored fibre being determined by step 7 and absorptance, predict mould using reverse proportioning Type, realizes the optimal proportion prediction of each colored fibre needed for preparation target sample.
In a kind of above-mentioned colored fibre mixing color matching method based on double Kubelka-Munk Theory and Two Constants, step 4 is adopted With the spectral reflectivity R to measurement gained for the equation belowmeasuredIt is modified
Wherein, r1For light from air incidence to sample-air junction when be reflected back the percentage ratio of air, r2For light from It is reflected back film in the layer percentage ratio, ε is regulatory factor, comprises minute surface in measured value when reaching sample-air junction in sample ε=1 during reflection, ε=0 when not comprising.
In a kind of above-mentioned colored fibre mixing color matching method based on double Kubelka-Munk Theory and Two Constants, step 5 is adopted Obtain absorptance and the scattering coefficient ratio of each sample with equation below
Wherein, R is revised spectral reflectance data.
In a kind of above-mentioned colored fibre mixing color matching method based on double Kubelka-Munk Theory and Two Constants, step 7 is adopted Obtain absorptance and the scattering coefficient of colored fibre with equation below
Wherein, sSAnd kSIt is respectively scattering coefficient and the absorptance of calibration sample, k/s is this colored fibre one-component sample This absorptance and scattering coefficient ratio, (k/s)mixThe mixing being mixed with calibration colored fibre for this colored fibre The absorptance of sample and scattering coefficient ratio, c accounts for mixed with calibration colored fibre total for this colored fibre in aggregate sample The percentage ratio of weight.
In a kind of above-mentioned colored fibre mixing color matching method based on double Kubelka-Munk Theory and Two Constants, step 9 is adopted With equation below, realize the prediction of colored fibre proportioning by nonlinear optimization algorithm
s.t.c1+c2+...+cn=1
c1,c2,..,cn≥0
Wherein,For target sample in wavelength XiThe spectral value at place, RpredictedFor pre- test sample in wavelength XiThe spectrum at place Value, c1,c2,..,cnFor the proportioning of required n kind colored fibre, in addition,
The present invention carries and having the advantage that:It is only necessary to two samples on sharing the calibration sample basis that proportioning is 100% Originally scattering coefficient and the absorptance of this colored fibre can be obtained, that is, proportioning is 100% one pack system colored fibre sample Product and a colored fibre are with c:(1-c) mixing sample that proportioning is mixed with calibration colored fibre.By measurement actual to sample The correction of spectral reflectivity, eliminates sample-air junction refractive index discontinuity to double Kubelka-Munk Theory and Two Constants The impact of precision.It is respectively provided with significant advantage in terms of sample preparation efficiency and model accuracy, such that it is able to join for colored fibre mixing Color provides technical support, and then meets actual production requirement.Therefore, the present invention can be on the premise of minimum sample preparation quantitative requirement Improve colored fibre proportioning precision of prediction, easy to implement, spin colored fibre mixing color matching field in color and there is the stronger suitability. Technical solution of the present invention is protected, industry will be spun for color and reduce examination spinning waste, and save the color matching time, lift color matching accuracy, Industry competition first place in the world is spun to China's color significant.
Brief description
Fig. 1 is the flow chart of the embodiment of the present invention.
Specific embodiment
Computer software technology can be adopted to realize automatically by those skilled in the art when technical solution of the present invention is embodied as Run.In conjunction with accompanying drawing, the embodiment of the present invention is provided to be described in detail below.
A kind of colored fibre mixing color matching based on double Kubelka-Munk Theory and Two Constants that embodiment provides as shown in Figure 1 Method, drastically reduce the area sample preparation quantity, by the correction of multiple interior scattering, certain amplitude improves colored fibre color matching Precision of prediction, obtains ideal proportioning and predicts the outcome.Embodiment, according to the product feature of color yarn fabric, selects A, B, C and D Four kinds of colored fibres are matched colors.It should be noted that the invention is not limited in the color matching of four kinds of colored fibres, for required Colored fibre quantity is less than four kinds or the target sample more than four kinds is equally applicable.Target sample is also not limited to fabric, for cotton Bar, yarn etc. other can measure spectrum color textile product equally applicable.
Embodiment comprises the following steps:
1) select a kind of colored fibre as reference standard, one proportioning of preparation is 100% calibration sample;
Embodiment selects brightness highest colored fibre S as the calibration colored fibre of preparation calibration sample, according to mesh The form (cotton sliver, fabric or yarn etc.) of standard specimen, preparation proportioning is 100% calibration sample.
2) it is directed to every kind of colored fibre, one proportioning of preparation is 100% one pack system colored fibre sample, then will be each coloured Fiber is with c:(1-c) proportioning and 1) calibration colored fibre mix, prepare an aggregate sample sample, as each colored fibre dissipate Penetrate the solution sample of coefficient and absorptance;
It is proposed that taking c to be 40% when being embodied as.
In embodiment, if tetra- kinds of colored fibres of A, B, C and D do not comprise 1) calibration colored fibre S, need to prepare coloured fibre 4, one pack system sample of dimension, and the mixing sample mixing with colored fibre S 4,8 samples altogether.4 one pack system samples are:One Individual proportioning is the one pack system sample of 100% colored fibre A preparation, and proportioning is the single group of 100% colored fibre B preparation Point sample, proportioning is the 100% one pack system sample of colored fibre C preparation and colored fibre D that proportioning is 100% The one pack system sample of preparation.4 aggregate sample samples are:It is mixed that 40% colored fibre A and 60% colored fibre S is mixed with Close sample, the mixing sample that 40% colored fibre B and 60% colored fibre S is mixed with, 40% colored fibre C and The mixing sample that 60% colored fibre S is mixed with, and 40% colored fibre D and 60% colored fibre S is mixed with Mixing sample.
In embodiment, if tetra- kinds of colored fibres of A, B, C and D comprise 1) calibration colored fibre S, choosing other three kinds has Color fibre it is only necessary to prepare 3, colored fibre one pack system sample, the mixing sample mixing with colored fibre S 3, altogether 6 solution Sample.
3) measure 1) and 2) spectral reflectivity of each sample prepared, and intercept the spectral reflectivity number in visible-range According to;
Visible-range is generally 380nm 780nm.In embodiment, by 1) and 2) sample prepared, use spectrophotometer Measure its spectral reflectivity, the spectral reflectance data intercepting in the range of 400nm 700nm is spaced with 10nm, in order to coloured fibre Dimension scattering coefficient and the solution of absorptance.
4) utilize following derivation formula respectively to 3) measurement gained sample spectral reflectivity RmeasuredIt is modified, obtain Obtain revised spectral reflectance data R, wherein, r1For light from air incidence to sample-air junction when be reflected back air Percentage ratio, r2Be reflected back film in the layer percentage ratio when reaching sample-air junction in sample for light, ε be adjust because Son, ε=1 when measured value comprises direct reflection, ε=0 when not comprising,
In embodiment, using the integrating sphere type spectrophotometer measurement sample spectrum reflection of d/8 ° of measure geometry condition Rate, therefore take ε=0.It is proposed that taking k when being embodied as1=0.04, take k2=0.6.
5) by 4) the revised spectral reflectance data that obtains, the absorptance of each sample can be obtained and dissipated by following formula Penetrate coefficient ratio
In embodiment, if tetra- kinds of colored fibres of A, B, C and D do not comprise 1) calibration colored fibre S, 1 can be obtained) and 2) 9 samples amount to 9 absorptances and scattering coefficient ratio;If tetra- kinds of colored fibres of A, B, C and D contain 1) calibration have Color fibre S, then can obtain 1) and 2) 7 samples amount to 7 absorptances and scattering coefficient ratio.
6) calibration scattering coefficient s in visible-range for the sample fixed 1)SFor constant 1, its suction can be obtained by following formula Receive coefficient kSFor
In embodiment, RSFor 4) the revised spectral reflectance data calibrating sample.
7) by 5) absorptance of each colored fibre one-component sample that obtains and scattering coefficient ratio k/s, and with calibration The absorptance of the aggregate sample that colored fibre is mixed with and scattering coefficient ratio (k/s)mix, and by 6) calibration that determines has The scattering coefficient s of color fibreSWith absorptance kS, scattering coefficient s and the absorptance of each colored fibre is obtained using equation below K is respectively
Wherein, c is that in aggregate sample, each colored fibre accounts for and calibrates the percentage ratio of the mixed gross weight of colored fibre.Specifically During enforcement, the suggestion value of c is 40%.
In embodiment, if tetra- kinds of colored fibres of A, B, C and D do not comprise 1) calibration colored fibre S, can be obtained by above formula The scattering coefficient of four kinds of colored fibres is s1、s2、s3And s4, absorptance is k1、k2、k3And k4.If tetra- kinds of coloured fibres of A, B, C and D Dimension contain 1) calibration colored fibre S, then make scattering coefficient s1=sS, absorptance k1=kS, and can determine that another three kinds by above formula The scattering coefficient of colored fibre is s2、s3And s4, absorptance is k2、k3And k4.
8) with 3) identical mode measures the spectral reflectivity of target sample, and intercept the spectral reflectance in visible-range Rate data;
In embodiment, still adopt and 3) identical spectrophotometer measurement target sample spectral reflectivity, and with 10nm interval Intercept the visible spectrum reflectivity data in the range of 400nm 700nm.
9) by 7) scattering coefficient of each colored fibre that determines and absorptance, reversely proportioning prediction mould can be built as follows Type, realizes the optimal proportion prediction of each colored fibre needed for preparation target sample
s.t.c1+c2+...+cn=1
c1,c2,..,cn≥0
Wherein,For target sample in wavelength XiThe spectral value at place, RpredictedFor pre- test sample in wavelength XiThe spectrum at place Value, c1,c2,..,cnFor the proportioning of required n kind colored fibre, in addition,
Search for the optimal solution of reverse proportioning forecast model by nonlinear optimization algorithm, as prediction realize target sample institute The optimal proportion of each colored fibre needing.
In embodiment, will be by 7) scattering coefficient of tetra- kinds of colored fibres of A, B, C and D that determines and absorptance substitute into Formula, is searched for the optimal solution of reverse proportioning forecast model, realizes tetra- kinds of colored fibres of A, B, C and D using sequential quadratic programming algorithm Proportioning prediction c1:c2:c3:c4.
By process proposed herein, finally achieve and carry out colored fibre with double Kubelka-Munk Theory and Two Constants and join The sample preparation quantity of color reduces and precision of prediction lifting.Wherein, the present embodiment do not comprise in tetra- kinds of colored fibres of A, B, C and D coloured Only need 9 samples during fiber S, only need 7 samples when tetra- kinds of colored fibres of A, B, C and D contain colored fibre S, you can determine The scattering coefficient of colored fibre and absorptance.And by the correction to sample actual measure spectrum reflectance, eliminate sample- The impact to precision of prediction for the air junction refractive index discontinuity.The precision of methods described herein and existing homing method Precision remains basically stable, and can greatly reduce the goods and materials waste that examination is spun, save the time of color matching while meeting actual production requirement Expend.
Specific embodiment described herein is only explanation for example to present invention spirit.The affiliated technology of the present invention is led The technical staff in domain can be made various modifications or supplement or replaced using similar mode to described specific embodiment Generation, but the spirit without departing from the present invention or surmount scope defined in appended claims.

Claims (5)

1. a kind of colored fibre mixing color matching method based on double Kubelka-Munk Theory and Two Constants it is characterised in that include with Lower step:
Step 1, selectes a kind of colored fibre as reference standard, one proportioning of preparation is 100% calibration sample;
Step 2, for n kind colored fibre, prepares the one pack system colored fibre sample that proportioning is 100%, n kind one pack system has altogether Color fibre sample, then by each colored fibre with c:(1-c) proportioning is mixed with the calibration colored fibre of step 1, and preparation n kind is mixed Close all, as the solution sample of each colored fibre scattering coefficient and absorptance;
Step 3, the spectral reflectivity of each sample of measuring process 1 and step 2 preparation, and the spectrum intercepting in visible-range is anti- Penetrate rate data;
Step 4, the spectral reflectivity that step 3 is measured with the sample of gained carries out MIR correction, obtains revised light Spectrum reflectivity data;
Step 5, the revised spectral reflectance data being obtained by step 4, obtain absorptance and the scattering system of each sample Percentage, specifically:
If n kind colored fibre does not comprise the calibration colored fibre S of step 1, can obtain 2n+1 sample amounts to 2n+1 suction Receive coefficient and scattering coefficient ratio;
If n kind colored fibre contains the calibration colored fibre S of step 1, can obtain 2n-1 sample amounts to 2n-1 absorption Coefficient and scattering coefficient ratio;
Step 6, by the calibration scattering coefficient s in visible-range for the sample of step 1SIt is set to constant 1, its is obtained by following formula Absorptance kSFor
k S = ( 1 - R S ) 2 2 R S
Wherein, RSIt is the spectral reflectance data through step 4 revised calibration sample;
Step 7, the absorptance of each sample being obtained by step 5 and scattering coefficient ratio, and step 6 calibrate dissipating of colored fibre Penetrate coefficient sSWith absorptance kS, determine the scattering coefficient s of each colored fibre1,s2,...,snWith absorptance k1,k2,...,kn, Specifically:
If n kind colored fibre does not comprise the calibration colored fibre S of step 1, obtain scattering coefficient and the n kind of n kind colored fibre Absorptance;
If n kind colored fibre contains the calibration colored fibre S of step 1, make scattering coefficient s1=sS, absorptance k1=kS
Step 8, to measure the spectral reflectivity of target sample with step 3 identical mode, and intercepts the spectrum in visible-range Reflectivity data;
Step 9, the scattering coefficient of each colored fibre being determined by step 7 and absorptance, using reverse proportioning forecast model, real Now prepare the optimal proportion prediction of each colored fibre needed for target sample.
2. a kind of colored fibre mixing color matching side based on double Kubelka-Munk Theory and Two Constants according to claim 1 Method it is characterised in that:Step 4 adopts the spectral reflectivity R to measurement gained for the equation belowmeasuredIt is modified
R = R m e a s u r e d - ϵr 1 1 - r 1 - r 2 ( 1 - R m e a s u r e d )
Wherein, r1For light from air incidence to sample-air junction when be reflected back the percentage ratio of air, r2For light from sample It is reflected back film in the layer percentage ratio, ε is regulatory factor, comprises direct reflection in measured value during interior arrival sample-air junction When ε=1, ε=0 when not comprising.
3. a kind of colored fibre mixing color matching side based on double Kubelka-Munk Theory and Two Constants according to claim 1 Method it is characterised in that:Step 5 obtains absorptance and the scattering coefficient ratio of each sample using equation below
k s = ( 1 - R ) 2 2 R
Wherein, R is revised spectral reflectance data.
4. a kind of colored fibre mixing color matching side based on double Kubelka-Munk Theory and Two Constants according to claim 1 Method it is characterised in that:Step 7 adopts equation below to obtain absorptance and the scattering coefficient of colored fibre
s = 1 - c c · [ k S - ( k s ) m i x s S ] / [ ( k s ) m i x - ( k s ) ]
k = 1 - c c · ( k s ) · [ k S - ( k s ) m i x s S ] / [ ( k s ) m i x - ( k s ) ]
Wherein, sSAnd kSIt is respectively scattering coefficient and the absorptance of calibration sample, k/s is this colored fibre one-component sample Absorptance and scattering coefficient ratio, (k/s)mixThe aggregate sample being mixed with calibration colored fibre for this colored fibre Absorptance and scattering coefficient ratio, c is that in aggregate sample, this colored fibre accounts for the mixed gross weight with calibration colored fibre Percentage ratio.
5. a kind of colored fibre mixing color matching side based on double Kubelka-Munk Theory and Two Constants according to claim 1 Method it is characterised in that:Step 9 adopts equation below, realizes the prediction of colored fibre proportioning by nonlinear optimization algorithm
min f ( c 1 , c 2 , .. , c n ) = [ Σ i = 1 [ R p r e d i c t e d , λ i - R o b j e c t , λ i ] 2 ] 1 / 2
s.t.c1+c2+...+cn=1
c1,c2,..,cn≥0
Wherein,For target sample in wavelength XiThe spectral value at place, RpredictedFor pre- test sample in wavelength XiThe spectral value at place, c1, c2,..,cnFor the proportioning of required n kind colored fibre, in addition,
( k s ) p r e d i c t e d = Σ i = 1 n c i k i Σ i = 1 n c i s i
R t e m p = 1 + ( k / s ) p r e d i c t e d - ( k / s ) p r e d i c t e d 2 + 2 ( k / s ) p r e d i c t e d
R p r e d i c t e d = αr 1 + ( 1 - r 1 ) ( 1 - r 2 ) R t e m p 1 - r 2 R t e m p .
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CN112668236A (en) * 2020-12-25 2021-04-16 河南牧业经济学院 Colored spun yarn color matching method based on improved S-N model
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