CN106469258B - A kind of colored fibre mixing color matching method based on double Kubelka-Munk Theory and Two Constants - Google Patents
A kind of colored fibre mixing color matching method based on double Kubelka-Munk Theory and Two Constants Download PDFInfo
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- CN106469258B CN106469258B CN201610858998.8A CN201610858998A CN106469258B CN 106469258 B CN106469258 B CN 106469258B CN 201610858998 A CN201610858998 A CN 201610858998A CN 106469258 B CN106469258 B CN 106469258B
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- D—TEXTILES; PAPER
- D01—NATURAL OR MAN-MADE THREADS OR FIBRES; SPINNING
- D01G—PRELIMINARY TREATMENT OF FIBRES, e.g. FOR SPINNING
- D01G13/00—Mixing, e.g. blending, fibres; Mixing non-fibrous materials with fibres
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- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
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- G01N21/17—Systems in which incident light is modified in accordance with the properties of the material investigated
- G01N21/55—Specular reflectivity
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Abstract
The present invention relates to a kind of colored fibre mixing color matching method based on double Kubelka-Munk Theory and Two Constants, belongs to color spinning technique field.The preparation of sample is solved including colored fibre scattering coefficient and absorption coefficient;The measurement of sample spectrum reflectivity and visible spectrum data cutout;Survey the multiple internal reflex amendment of visible spectrum reflectivity data;Colored fibre scattering coefficient and absorption coefficient solve;The measurement of target sample spectral reflectivity and visible spectrum data cutout;The colored fibre proportion to match with target sample color is predicted.The present invention can obtain ideal proportion prediction result under the premise of reducing sample preparation quantity, and easy to implement, and spinning colored fibre mixing color matching field in color has stronger applicability.
Description
Technical field
The invention belongs to color spinning technique fields, and in particular to a kind of coloured fibre based on double Kubelka-Munk Theory and Two Constants
Dimension mixing color matching method.
Background technique
Colour-spun yarns are that fiber is first dyed colored fibre, then the colored fibre of two or more different colours is abundant
It mixes, with the yarn of special color effect made of spinning.With the poststaining that first spins, or yarn is made into after cloth and is dyed again
Traditional processing technology compare, colour-spun yarns technique energy conservation, emission reduction, in terms of have significant advantage.On the other hand, reason
The colored fibre mixing of different colours spins, and colour-spun yarns can show multiple color on same root sand line, use colour-spun yarns
The fabric gradation being made into is abundant, has dim stereoscopic effect and texture, popular among consumers.Currently, color spins industry
Have become the rising industry of textile industry.
Se Fang enterprise is using client's sample as target sample, by color matching personnel's experience after selected colored fibre type used,
Suitable colored fibre weight ratio (proportion) is found by way of repeatedly trying to spin and draw a design, realization mixes coloured with the proportion
The consistent matching of production sample and target sample colouring information that fibre spinning goes out, to reach customer requirement.It is past using Man-made Color Matching
Slow, low efficiency, low precision toward speed, repeatedly examination spin draw a design also waste it is huge.To realize efficient digitlization color matching, the time is reduced
It is wasted with goods and materials, the color that need to establish science spins color prediction model.It is matched by colored fibre, the production sample face of prediction mixing spinning
The model of color, referred to as positive spectral prediction model;By target sample color, the model of its each brown stock proportion is predicted, referred to as instead
To proportion prediction model.In above process, reversely based on positive spectral prediction model, consideration is proportion prediction model
How the reversion of forward model, substantially the nonlinear optimization process of belt restraining are accurately realized.
Currently, industry has proposed multiple color prediction models, 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
Several mixing are considered as linear system, are had by colored fibre scattering coefficient and absorption coefficient and its homogeneity and difference between matching
Additive property between color fibre scattering coefficient and absorption coefficient, establish each colored fibre scattering coefficient and absorption coefficient it is mixed after
Aggregate sample scattering coefficient and absorption coefficient between association, resettle aggregate sample scattering coefficient and absorption coefficient and its spectral reflectance
Association between rate, to realize associated foundation between colored fibre proportion and aggregate sample color.Use one of the theory
Important prerequisite is scattering coefficient and absorption coefficient it needs to be determined that colored fibre.To obtain higher precision of prediction, industry is often needed
The colored fibre aggregate sample that preparation largely mixes in various proportions, the scattering coefficient of each colored fibre is obtained by linear regression method
And absorption coefficient.The sample preparation " it is required that " limit the double applications of Kubelka-Munk Theory and Two Constants in actual production.Another party
There are the variation of refractive index at face, aggregate sample and air interface, this discontinuity variation causes light to go out inside aggregate sample
Existing multiple internal reflex phenomenon.The spectral reflectivity of measurement be light after multiple internal reflex as a result, and Kubelka-Munk manage
By describing, transmission process of the light in aggregate sample layer does not consider the refractive index discontinuity problem of interface intersection,
For this purpose, need to be corrected to the spectral value of measurement before using double Kubelka-Munk Theory and Two Constants.
Summary of the invention
The purpose of the present invention is to solve problems described in background technique, propose a kind of based on double constant Kubelka-
The colored fibre mixing color matching method of Munk theory.
The technical solution of the present invention is as follows:
A kind of colored fibre mixing color matching method based on double Kubelka-Munk Theory and Two Constants, which is characterized in that including
Following steps:
Step 1, a kind of colored fibre is selected as reference standard, prepares the calibration sample that a proportion is 100%;
Step 2, for n kind colored fibre, the one pack system colored fibre sample that preparation proportion is 100% amounts to n kind single group
Point colored fibre sample, then by each colored fibre with c:(1-c) proportion mixed with the calibration of step 1 with colored fibre, preparation n
Kind aggregate sample sample, the solution sample as each colored fibre scattering coefficient and absorption coefficient;
Step 3, the spectral reflectivity for each sample that prepared by measuring process 1 and step 2, and intercept the light in visible-range
Compose reflectivity data;
Step 4, the spectral reflectivity for measuring resulting sample to step 3 carries out multiple internal reflex amendment, after being corrected
Spectral reflectance data;
Step 5, the revised spectral reflectance data obtained by step 4 obtains the absorption coefficient of each sample and dissipates
Coefficient ratio is penetrated, specifically:
If n kind colored fibre does not include the calibration colored fibre S of step 1, total 2n+1 of 2n+1 sample can get
A absorption coefficient and scattering coefficient ratio;
If n kind colored fibre contains the calibration colored fibre S of step 1, it can get total 2n-1 of 2n-1 sample
Absorption coefficient and scattering coefficient ratio;
Step 6, the scattering coefficient s by the calibration sample of step 1 in visible-rangeSIt is set to constant 1, is obtained by following formula
Its absorption coefficient kSFor
Wherein, RSFor the spectral reflectance data through the revised calibration sample of step 4;
Step 7, the absorption coefficient and scattering coefficient ratio and step 6 of each sample obtained by step 5 calibrate colored fibre
Scattering coefficient sSWith absorption coefficient kS, determine the scattering coefficient s of each colored fibre1,s2,...,snWith absorption coefficient k1,
k2,...,kn, specifically:
If n kind colored fibre do not include step 1 calibration colored fibre S, obtain n kind colored fibre scattering coefficient and
N kind absorption coefficient;
If n kind colored fibre contains the calibration colored fibre S of step 1, scattering coefficient s is enabled1=sS, absorption coefficient k1=
kS;
Step 8, the spectral reflectivity of target sample is measured in a manner of identical with step 3, and is intercepted in visible-range
Spectral reflectance data;
Step 9, the scattering coefficient and absorption coefficient of each colored fibre determined by step 7 predict mould using reversed proportion
Type, the optimal proportion prediction of each colored fibre needed for realizing 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 following formula spectral reflectivity R resulting to measurementmeasuredIt is modified
Wherein, r1For light from air incidence to sample-air junction when be reflected back the percentage of air, r2For light from
The percentage being reflected back in film layer when reaching sample-air junction in sample, ε is regulatory factor, includes mirror surface in measured value
ε=1 when reflection, ε=0 when not including.
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
The absorption coefficient and scattering coefficient ratio of each sample are obtained with following formula
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
The absorption coefficient and scattering coefficient of colored fibre are obtained with following formula
Wherein, sSAnd kSThe scattering coefficient and absorption coefficient of sample are respectively calibrated, k/s is the colored fibre one-component sample
This absorption coefficient and scattering coefficient ratio, (k/s)mixThe mixing being mixed with for the colored fibre and calibration with colored fibre
The absorption coefficient and scattering coefficient ratio of sample, c account for mixed total with calibration colored fibre for the colored fibre in aggregate sample
The percentage 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 following formula, the prediction of colored fibre proportion is realized by nonlinear optimization algorithm
s.t.c1+c2+...+cn=1
c1,c2,..,cn≥0
Wherein,It is target sample in wavelength XiThe spectral value at place, RpredictedIt is pre- test sample in wavelength XiThe spectrum at place
Value, c1,c2,..,cnFor the proportion of required n kind colored fibre, in addition,
The present invention, which mentions, to be had the advantages that on sharing the calibration sample basis that a proportion is 100%, it is only necessary to two samples
Originally the scattering coefficient and absorption coefficient of the colored fibre, i.e., the one pack system colored fibre sample that one proportion is 100% be can be obtained
Product and a colored fibre are with c:(1-c) match the mixing sample mixed with calibration colored fibre.By to sample actual measurement
The amendment of spectral reflectivity eliminates sample-air junction refractive index discontinuity to double Kubelka-Munk Theory and Two Constants
The influence of precision.It all has significant advantage in terms of sample preparation efficiency and model accuracy, so as to match for colored fibre mixing
Color provides technical support, and then meets actual production requirement.Therefore, the present invention can be under the premise of minimum sample preparation quantitative requirement
It improves colored fibre and matches precision of prediction, easy to implement, spinning colored fibre mixing color matching field in color has stronger applicability.
Technical solution of the present invention is protected, industry will be spun for color and reduces examination spinning waste, the color matching time is saved, promotes color matching accuracy,
Industry competition first place in the world is spun to China's color to be of great significance.
Detailed description of the invention
Fig. 1 is the flow chart of the embodiment of the present invention.
Specific embodiment
Technical solution of the present invention can be realized by those skilled in the art using computer software technology automatic when being embodied
Operation.In conjunction with attached drawing, the embodiment of the present invention is provided and is described in detail below.
A kind of colored fibre based on double Kubelka-Munk Theory and Two Constants that embodiment as shown in Figure 1 provides mixes color matching
Method drastically reduces sample preparation quantity, and by the amendment of multiple interior scattering, colored fibre color matching is improved in certain amplitude
Precision of prediction obtains ideal proportion prediction result.Embodiment selects A, B, C and D according to the product feature of color textile fabric
Four kinds of colored fibres are matched colors.It should be noted that the invention is not limited to the color matchings of four kinds of colored fibres, for required
Target sample of the colored fibre quantity less than four kinds or greater than four kinds is equally applicable.Target sample is also not limited to fabric, for cotton
The color textile product of other measurable spectrum such as item, yarn is equally applicable.
Embodiment the following steps are included:
1) a kind of colored fibre is selected as reference standard, prepares the calibration sample that a proportion is 100%;
Embodiment selects calibration colored fibre of the highest colored fibre S of brightness as preparation calibration sample, according to mesh
The form (sliver, fabric or yarn etc.) of standard specimen, the calibration sample that preparation proportion is 100%.
2) it is directed to every kind of colored fibre, prepares the one pack system colored fibre sample that a proportion is 100%, then will be each coloured
Fiber is with c:(1-c) proportion mixed with calibration colored fibre 1), prepare an aggregate sample sample, as each colored fibre dissipate
Penetrate the solution sample of coefficient and absorption coefficient;
When it is implemented, suggesting that taking c is 40%.
In embodiment, if tetra- kinds of colored fibres of A, B, C and D do not include calibration colored fibre S 1), need to prepare coloured fibre
4, one pack system sample are tieed up, and mixing sample 4 mixed with colored fibre S, amounts to 8 samples.4 one pack system samples are as follows: one
One pack system sample prepared by the colored fibre A that a proportion is 100%, single group prepared by the colored fibre B that a proportion is 100%
Divide sample, the colored fibre D that one pack system sample and a proportion prepared by the colored fibre C that a proportion is 100% is 100%
The one pack system sample of preparation.4 aggregate sample samples are as follows: the colored fibre S of 40% colored fibre A and 60% is mixed with mixed
Close sample, the mixing sample that the colored fibre S of 40% colored fibre B and 60% is mixed with, 40% colored fibre C and
Mixing sample that 60% colored fibre S is mixed with and 40% colored fibre D and 60% colored fibre S are mixed with
Mixing sample.
In embodiment, if tetra- kinds of colored fibres of A, B, C and D include calibration colored fibre S 1), choosing other three kinds has
Color fibre, it is only necessary to prepare 3, colored fibre one pack system sample, the mixing sample mixed with colored fibre S 3 amounts to 6 solutions
Sample.
3) spectral reflectivity of 1) and 2) each sample that measurement is prepared, and intercept the spectral reflectivity number in visible-range
According to;
Visible-range is generally 380nm -780nm.In embodiment, by the sample 1) with 2) preparation, spectrophotometer is used
Its spectral reflectivity is measured, with the spectral reflectance data within the scope of the interval 10nm interception 400nm -700nm, to coloured fibre
Tie up the solution of scattering coefficient and absorption coefficient.
4) using following derivation formula respectively to the spectral reflectivity R for 3) measuring resulting samplemeasuredIt is modified, obtains
Obtain revised spectral reflectance data R, wherein r1For light from air incidence to sample-air junction when be reflected back air
Percentage, r2The percentage being reflected back when reaching sample-air junction out of sample for light in film layer, ε be adjust because
Son, ε=1 when measured value includes mirror-reflection, ε=0 when not including,
In embodiment, using the integrating sphere type spectrophotometer measurement sample spectrum reflection of d/8 ° of measure geometry condition
Rate, therefore take ε=0.When it is implemented, suggesting taking k1=0.04, take k2=0.6.
5) by the revised spectral reflectance data 4) obtained, the absorption coefficient of each sample can be obtained by following formula and is dissipated
Penetrate coefficient ratio
1) and 2) it in embodiment, if tetra- kinds of colored fibres of A, B, C and D do not include calibration colored fibre S 1), can get
9 samples total 9 absorption coefficients and scattering coefficient ratio;If A, tetra- kinds of colored fibres of B, C and D, which contain calibration 1), has
Color fibre S then can get total 7 absorption coefficients and scattering coefficient ratio of 7 samples 1) and 2).
6) fixed scattering coefficient s of the calibration sample in visible-range 1)SFor constant 1, its suction can be obtained by following formula
Receive coefficient kSFor
In embodiment, RSFor the spectral reflectance data of 4) revised calibration sample.
7) by 5) obtain each colored fibre one-component sample absorption coefficient and scattering coefficient ratio k/s, and with calibration
The absorption coefficient and scattering coefficient ratio (k/s) for the aggregate sample that colored fibre is mixed withmix, and by 6) determine calibration have
The scattering coefficient s of color fibreSWith absorption coefficient kS, the scattering coefficient s and absorption coefficient of each colored fibre are obtained using following formula
K is respectively
Wherein, c is the percentage that each colored fibre accounts for the calibration mixed total weight of colored fibre in aggregate sample.Specifically
When implementation, the suggestion value of c is 40%.
In embodiment, if tetra- kinds of colored fibres of A, B, C and D do not include calibration colored fibre S 1), it can be obtained by above formula
The scattering coefficient of four kinds of colored fibres is s1、s2、s3And s4, absorption coefficient k1、k2、k3And k4.If A, tetra- kinds of coloured fibres of B, C and D
Dimension contains calibration colored fibre S 1), then enables scattering coefficient s1=sS, absorption coefficient k1=kS, and can determine another three kinds by above formula
The scattering coefficient of colored fibre is s2、s3And s4, absorption coefficient k2、k3And k4。
8) by with it is 3) identical in a manner of measure the spectral reflectivity of target sample, and intercept the spectral reflectance in visible-range
Rate data;
In embodiment, still using with 3) identical spectrophotometer measurement target sample spectral reflectivity, and with the interval 10nm
Intercept the visible spectrum reflectivity data within the scope of 400nm -700nm.
9) by the scattering coefficient and absorption coefficient of each colored fibre 7) determined, following reversed proportion prediction mould can be constructed
Type, the optimal proportion prediction of each colored fibre needed for realizing preparation target sample
s.t.c1+c2+...+cn=1
c1,c2,..,cn≥0
Wherein,It is target sample in wavelength XiThe spectral value at place, RpredictedIt is pre- test sample in wavelength XiThe spectrum at place
Value, c1,c2,..,cnFor the proportion of required n kind colored fibre, in addition,
The optimal solution of reversed proportion prediction model, the realization target sample institute as predicted are searched for by nonlinear optimization algorithm
The optimal proportion of each colored fibre needed.
In embodiment, it will be substituted by the scattering coefficient and absorption coefficient of the tetra- kinds of colored fibres of A, B, C and D 7) determined
Formula is searched for the optimal solution of reversed proportion prediction model using sequential quadratic programming algorithm, realizes tetra- kinds of colored fibres of A, B, C and D
Proportion predict c1:c2:c3:c4。
By process proposed herein, finally realizes and carry out colored fibre with double Kubelka-Munk Theory and Two Constants and match
The sample preparation quantity of color is reduced and precision of prediction is promoted.Wherein, the present embodiment does not include coloured in tetra- kinds of colored fibres of A, B, C and D
9 samples are only needed when fiber S, are only needed 7 samples when tetra- kinds of colored fibres of A, B, C and D contain colored fibre S, that is, be can determine
The scattering coefficient and absorption coefficient of colored fibre.And by the amendment to sample actual measurement spectral reflectivity, sample-is eliminated
Influence of the air junction refractive index discontinuity to precision of prediction.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 while meeting actual production requirement, save the time of color matching
It expends.
Specific embodiment described herein is only an example for the spirit of the invention.The neck of technology belonging to the present invention
The technical staff in domain can make various modifications or additions to the described embodiments or replace by a similar method
In generation, however, it does not deviate from the spirit of the invention or beyond the scope of the appended claims.
Claims (5)
1. a kind of colored fibre mixing color matching method based on double Kubelka-Munk Theory and Two Constants, which is characterized in that including with
Lower step:
Step 1, a kind of colored fibre is selected as reference standard, prepares the calibration sample that a proportion is 100%;
Step 2, for n kind colored fibre, the one pack system colored fibre sample that preparation proportion is 100%, total n kind one pack system has
Color fibre sample, then by each colored fibre with c:(1-c) proportion mixed with the calibration of step 1 with colored fibre, preparation n kind is mixed
Close all, as the solution sample of each colored fibre scattering coefficient and absorption coefficient, c be aggregate sample in the colored fibre account for
The calibration percentage of the mixed total weight of colored fibre;
Step 3, the spectral reflectivity for each sample that prepared by measuring process 1 and step 2, and it is anti-to intercept the spectrum in visible-range
Penetrate rate data;
Step 4, the spectral reflectivity for measuring resulting sample to step 3 carries out multiple internal reflex amendment, obtains revised light
Compose reflectivity data;
Step 5, the revised spectral reflectance data obtained by step 4, the absorption coefficient and scattering for obtaining each sample are
Percentage, specifically:
If n kind colored fibre does not include the calibration colored fibre S of step 1, total 2n+1 suction of 2n+1 sample can get
Receive coefficient and scattering coefficient ratio;
If n kind colored fibre contains the calibration colored fibre S of step 1, total 2n-1 absorption of 2n-1 sample can get
Coefficient and scattering coefficient ratio;
Step 6, the scattering coefficient s by the calibration sample of step 1 in visible-rangeSIt is set to constant 1, its is obtained by following formula
Absorption coefficient kSFor
Wherein, RSFor the spectral reflectance data through the revised calibration sample of step 4;
Step 7, absorption coefficient and scattering coefficient ratio and step 6 the calibration colored fibre of each sample obtained by step 5 dissipate
Penetrate coefficient sSWith absorption coefficient kS, determine the scattering coefficient s of each colored fibre1,s2,...,snWith absorption coefficient k1,k2,...,kn,
Specifically:
If n kind colored fibre does not include the calibration colored fibre S of step 1, the scattering coefficient and n kind of n kind colored fibre are obtained
Absorption coefficient;
If n kind colored fibre contains the calibration colored fibre S of step 1, scattering coefficient s is enabled1=sS, absorption coefficient k1=kS;
Step 8, the spectral reflectivity of target sample is measured in a manner of identical with step 3, and intercepts the spectrum in visible-range
Reflectivity data;
Step 9, the scattering coefficient and absorption coefficient of each colored fibre determined by step 7, it is real using reversed proportion prediction model
Now prepare the optimal proportion prediction of each colored fibre needed for target sample.
2. a kind of colored fibre based on double Kubelka-Munk Theory and Two Constants according to claim 1 mixes color matching side
Method, it is characterised in that: step 4 is using following formula spectral reflectivity R resulting to measurementmeasuredIt is modified
Wherein, r1For light from air incidence to sample-air junction when be reflected back the percentage of air, r2It is light from sample
The percentage being reflected back in film layer when interior arrival sample-air junction, ε is regulatory factor, includes mirror-reflection in measured value
When ε=1, do not include when ε=0.
3. a kind of colored fibre based on double Kubelka-Munk Theory and Two Constants according to claim 1 mixes color matching side
Method, it is characterised in that: step 5 obtains the absorption coefficient and scattering coefficient ratio of each sample using following formula
Wherein, R is revised spectral reflectance data.
4. a kind of colored fibre based on double Kubelka-Munk Theory and Two Constants according to claim 1 mixes color matching side
Method, it is characterised in that: step 7 obtains the absorption coefficient and scattering coefficient of colored fibre using following formula
Wherein, sSAnd kSThe scattering coefficient and absorption coefficient of sample are respectively calibrated, k/s is the colored fibre one-component sample
Absorption coefficient and scattering coefficient ratio, (k/s)mixThe aggregate sample being mixed with for the colored fibre and calibration with colored fibre
Absorption coefficient and scattering coefficient ratio, c are that the colored fibre accounts for and the mixed total weight of calibration colored fibre in aggregate sample
Percentage.
5. a kind of colored fibre based on double Kubelka-Munk Theory and Two Constants according to claim 1 mixes color matching side
Method, it is characterised in that: step 9 uses following formula, and the prediction of colored fibre proportion is realized by nonlinear optimization algorithm
s.t.c1+c2+...+cn=1
c1,c2,..,cn≥0
Wherein,It is target sample in wavelength XiThe spectral value at place, RpredictedIt is pre- test sample in wavelength XiThe spectral value at place, c1,
c2,..,cnFor the proportion of required n kind colored fibre, in addition,
r1For light from air incidence to sample-air junction when be reflected back the percentage of air, r2It is reached out of sample for light
The percentage being reflected back when sample-air junction in film layer.
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