CN103538384B - Method for mapping spectrum of printer - Google Patents
Method for mapping spectrum of printer Download PDFInfo
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- CN103538384B CN103538384B CN201210447310.9A CN201210447310A CN103538384B CN 103538384 B CN103538384 B CN 103538384B CN 201210447310 A CN201210447310 A CN 201210447310A CN 103538384 B CN103538384 B CN 103538384B
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Links
- 238000001228 spectrum Methods 0.000 title claims abstract description 60
- 238000000034 method Methods 0.000 title claims abstract description 18
- 238000013507 mapping Methods 0.000 title claims abstract description 16
- 239000011159 matrix material Substances 0.000 claims abstract description 21
- 239000000976 ink Substances 0.000 claims description 29
- 230000003595 spectral effect Effects 0.000 claims description 12
- 230000003287 optical effect Effects 0.000 claims description 10
- 238000005259 measurement Methods 0.000 claims description 7
- 239000000203 mixture Substances 0.000 claims description 3
- 244000025254 Cannabis sativa Species 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 2
- 238000011160 research Methods 0.000 description 2
- 239000004150 EU approved colour Substances 0.000 description 1
- 235000013405 beer Nutrition 0.000 description 1
- 238000004737 colorimetric analysis Methods 0.000 description 1
- 239000012141 concentrate Substances 0.000 description 1
- 238000011161 development Methods 0.000 description 1
- 239000000975 dye Substances 0.000 description 1
- 229940006093 opthalmologic coloring agent diagnostic Drugs 0.000 description 1
- 239000003973 paint Substances 0.000 description 1
- 239000000049 pigment Substances 0.000 description 1
- 238000009941 weaving Methods 0.000 description 1
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- Spectrometry And Color Measurement (AREA)
Abstract
The invention discloses a method for mapping a spectrum of a printer. The method comprises the following steps: obtaining spectrums of ink and paper samples respectively by producing and measuring the ink and paper samples of the printer; and fitting a target spectrum and the spectrums of the ink and paper samples of the printer by adopting a least square method, and calculating to obtain a coefficient matrix and a mapping spectrum to realize the spectrum mapping of the printer. According to the method disclosed by the invention, the purpose that the target spectrum is mapped in a spectrum range of the printer is achieved well; the method is simple, high in efficiency and strong in practicability and is applicable to models based on the spectrum of various types of other equipment (including cameras, displays and the like).
Description
Technical field
The present invention relates to a kind of method that printer spectrum maps, specifically relate to the method that target optical spectrum and the spectrum between printer ink and paper spectrum map.
Background technology
Along with the development of science and technology, printer obtains and uses widely in daily life work.Meanwhile, a large amount of scientific worker has carried out corresponding research to printer ink color management aspect.But most research concentrates on printer colorimetry model aspect, CIE XYZ tristimulus values or CIELAB value is often selected to have nothing to do look as equipment.Because CIEXYZ or CIELAB value sign color there will be metamerism phenomenon, namely color of object and reproduction color are mated under a kind of lighting condition, but do not mate under another kind of lighting condition.In order to solve the problem of metamerism, academia proposes the model based on spectrum, as Beer law model, Kubelka-Munk model, Neugebauer and improved model, Yule-Clapper and improved model thereof etc.Meanwhile, correlative study shows, and the model based on spectrum has higher precision.
Due to the quantitative limitation of printer ink number, as traditional CMYK (green grass or young crops, product, Huang, black) four black printers, its spectral region that can reappear is the restriction by ink spectral characteristic.Especially for those non-print samples, as weaving sample, paint sample etc., because the colouring agents such as its pigment used, dyestuff are different from printer ink, the spectrum of these non-print samples is caused to be impossible intactly be reappeared by printer.Therefore, for a target optical spectrum, we need first to be mapped in the spectral region that printer ink can reappear, and then carry out spectrum reproduction to the target optical spectrum after mapping.For the problem of printer spectrum mapping aspect, academic circles at present and technical grade are not all also studied accordingly.
Summary of the invention
The problem that the present invention maps to solve printer spectrum, discloses a kind of method that efficient, succinct printer spectrum maps.Map by realizing printer spectrum to target optical spectrum and the matching between printer ink and paper spectrum, its concrete steps are as follows:
1) choose all inks (being assumed to n) of printer, for each ink, be printed on the printing sample selected paper obtaining respectively each ink by maximum device drives value;
2) adopt the printing sample of each ink of spectrophotometer measurement, record the spectrum of its spectral reflectance as ink, be designated as matrix r respectively
1, r
2, r
3..., r
n;
3) adopt paper (without the ink) sample selected by spectrophotometer measurement, record the spectrum of its spectral reflectance as paper, be designated as matrix r
p;
4) by the spectral composition printer spectrum matrix R=[r of measured each ink and paper
1, r
2, r
3..., r
n, r
p]; For a known target optical spectrum r, there is a coefficient matrix w=[w
1, w
2, w
3..., w
n, w
p] make matrix expression r-R × w
tin every quadratic sum minimum, wherein in coefficient matrix w, each coefficient meets 0≤w≤1, and in w, each coefficient sum is 1; Least square method is adopted to calculate coefficient matrix w;
5) using the mapping spectrum of r '=w × R as target optical spectrum r, afterwards, the model based on spectrum can be adopted to carry out spectrum reproduction to mapping spectrum.
The present invention has following advantage: the application of this printer spectrum mapping method is simple, efficiency is high, practical, and is applicable to the model based on spectrum of various other equipment (comprising camera, display etc.).
Accompanying drawing explanation
Fig. 1 is the flow chart of printer spectrum mapping method.
Fig. 2 is the ink spectrogram of a black printer of CMYK tetra-.
Fig. 3 is the spectrogram of paper.
Fig. 4 is target and maps spectrogram.
Detailed description of the invention
For a CMYK (green grass or young crops, product, Huang, black) four black printers, the specific implementation method of above-mentioned printer mapping method is set forth.It should be noted that, the present invention is not limited to four black printers, and it is also applicable to various how black printer.
As shown in Figure 1, its concrete steps are as follows:
1) for each ink of CMYK, be printed on by maximum device drives value (for the printer of 8, maximum drive value is 255) printing sample paper obtaining respectively each ink, amount to 4 and print sample;
2) adopt the printing sample of each ink of spectrophotometer measurement, record the spectrum of its spectral reflectance as this ink, as shown in Figure 2.It take 10nm as interval that the measurement category of spectrum generally gets 400nm to 700nm, totally 31 data.The spectrum of measured each ink is designated as matrix r respectively
1, r
2, r
3, r
4;
3) adopt spectrophotometer measurement paper (without ink) sample, record the spectrum r of its spectral reflectance as paper
w, as shown in Figure 3;
4) by the spectral composition printer spectrum matrix R=[r of measured each ink and paper
1, r
2, r
3, r
4, r
w], its size is 31 × 5.For a known target optical spectrum r (its size is 31 × 1), there is the coefficient matrix w=[w of 1 × 5
1, w
2, w
3, w
4, w
w] make matrix expression r-R × w
tin every quadratic sum minimum.Wherein in coefficient matrix w, each coefficient meets 0≤w≤1, and in w, each coefficient sum is 1.Least square method is adopted to calculate coefficient matrix w.
5) using the mapping spectrum of r '=w × R as target optical spectrum r, as shown in Figure 4; Afterwards, the model based on spectrum can be adopted to carry out spectrum reproduction to mapping spectrum.
Claims (1)
1. a method for printer spectrum mapping, is characterized in that comprising the following steps:
1) choose all inks of printer, be assumed to n, for each ink, be printed on the printing sample selected paper obtaining respectively each ink by maximum device drives value;
2) adopt the printing sample of each ink of spectrophotometer measurement, record the spectrum of its spectral reflectance as ink, be designated as matrix r respectively
1, r
2, r
3..., r
n;
3) paper of employing selected by spectrophotometer measurement is without ink samples, records the spectrum of its spectral reflectance as paper, is designated as matrix r
p;
4) by the spectral composition printer spectrum matrix R=[r of measured each ink and paper
1, r
2, r
3..., r
n, r
p]; For a known target optical spectrum r, there is a coefficient matrix w=[w
1, w
2, w
3..., w
n, w
p] make matrix expression r-R × w
tin every quadratic sum minimum, wherein in coefficient matrix w, each coefficient meets 0≤w≤1, and in w, each coefficient sum is 1; Least square method is adopted to calculate coefficient matrix w;
5) using the mapping spectrum of r '=w × R as target optical spectrum r, afterwards, the model based on spectrum can be adopted to carry out spectrum reproduction to mapping spectrum.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201210447310.9A CN103538384B (en) | 2012-11-06 | 2012-11-06 | Method for mapping spectrum of printer |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201210447310.9A CN103538384B (en) | 2012-11-06 | 2012-11-06 | Method for mapping spectrum of printer |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN103538384A CN103538384A (en) | 2014-01-29 |
| CN103538384B true CN103538384B (en) | 2015-07-22 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201210447310.9A Expired - Fee Related CN103538384B (en) | 2012-11-06 | 2012-11-06 | Method for mapping spectrum of printer |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN103538384B (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110926609B (en) * | 2019-10-22 | 2022-03-15 | 齐鲁工业大学 | Spectrum reconstruction method based on sample feature matching |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP0535700A2 (en) * | 1991-10-04 | 1993-04-07 | The Perkin-Elmer Corporation | Method and apparatus for comparing spectra |
| CN101123669A (en) * | 2006-08-07 | 2008-02-13 | 三星电子株式会社 | Method and apparatus for converting images, and image forming apparatus having the same |
| CN102004088A (en) * | 2010-11-09 | 2011-04-06 | 清华大学 | Method for measuring coal property on line based on neural network |
| CN102271214A (en) * | 2010-06-03 | 2011-12-07 | 佳能株式会社 | Image processing apparatus and image processing method |
| CN102360506A (en) * | 2011-09-30 | 2012-02-22 | 北京航空航天大学 | Local linear preserver-based scene color style uniformizing method |
-
2012
- 2012-11-06 CN CN201210447310.9A patent/CN103538384B/en not_active Expired - Fee Related
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP0535700A2 (en) * | 1991-10-04 | 1993-04-07 | The Perkin-Elmer Corporation | Method and apparatus for comparing spectra |
| CN101123669A (en) * | 2006-08-07 | 2008-02-13 | 三星电子株式会社 | Method and apparatus for converting images, and image forming apparatus having the same |
| CN102271214A (en) * | 2010-06-03 | 2011-12-07 | 佳能株式会社 | Image processing apparatus and image processing method |
| CN102004088A (en) * | 2010-11-09 | 2011-04-06 | 清华大学 | Method for measuring coal property on line based on neural network |
| CN102360506A (en) * | 2011-09-30 | 2012-02-22 | 北京航空航天大学 | Local linear preserver-based scene color style uniformizing method |
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|---|---|
| CN103538384A (en) | 2014-01-29 |
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