CN-115900950-B - Full-color domain structural color prediction and reproduction method based on multi-level micro-nano structure

CN115900950BCN 115900950 BCN115900950 BCN 115900950BCN-115900950-B

Abstract

The application discloses a full-color domain structural color prediction and reproduction method based on a multi-level micro-nano structure. The method is that firstly, a multidimensional mapping relation between the primary color proportion of the structural color and the spectral reflectivity of the predicted color is established, and then, a structural color prediction forward model and a structural color proportion prediction reverse model are established, so that full-color domain color prediction and reproduction of any color and any tone are realized, which belongs to the first time in the structural color research field and has wide application prospect.

Inventors

WAN XIAOXIA
ZHANG QIAN
Lv Jiaxu
Xue Zhishuang
Shi Daifei

Assignees

武汉大学

Dates

Publication Date: 20260505
Application Date: 20221107

Claims (2)

1. A full-color domain structural color prediction and reproduction method based on a multi-level micro-nano structure, comprising: establishing a prediction model of the corresponding relation between the primary color proportion of the reference mixed structure color and the spectral reflectivity of the predicted color according to the K-M model; The specific process of building a predictive model from a K-M model is according to a formula, ; The absorption coefficient of the color-developing unit for the structural color, The scattering coefficient of the color-imparting element for the structural color, Spectral reflectance for the predicted color; Obtaining a reverse model of the spectral reflectivity of the target color and the color primary ratio of the mixing mechanism by adopting an optimization algorithm according to the prediction model; the specific process of obtaining the inverse model is according to the formula, ; Wherein the method comprises the steps of Is an identity matrix of three primary colors, Proportional column vectors for structural color primaries; according to the inverse model, obtaining the spectrum difference between the spectrum reflectivity of the target color and the spectrum reflectivity of the predicted color; obtaining the optimal spectral reflectivity of the predicted color according to the spectral difference; the optimal spectral reflectance is obtained according to a formula, ; Specifically, let the spectral reflectance of the target color be The predicted color has a spectral reflectance of , , In the formula, Representing the spectral reflectance at the target color wavelength of 400nm, Representing the spectral reflectance at the target color wavelength of 700 nm; The target color spectral reflectance is equal to the predicted color spectral reflectance, and can be obtained: , Due to reflectivity Ratio to absorption to scattering coefficient of the material In relation, according to differential theory, at each wavelength Can be expressed as: In which, in the process, Indicating the reflectance of the target color spectrum, Representing the spectral reflectance of the predicted color, The above is rewritten into a matrix form: , Wherein, the , , 。
2. The full-color domain structural color prediction and reproduction method based on the multi-level micro-nano structure according to claim 1, wherein the spectrum difference is obtained by an interior point algorithm, an active set algorithm, a sequence quadratic programming algorithm, a genetic algorithm and a simulated annealing algorithm.

Description

Full-color domain structural color prediction and reproduction method based on multi-level micro-nano structure Technical Field The application relates to the technical field of spectrum display, in particular to a full-color domain structural color prediction and reproduction method based on a multi-level micro-nano structure. Background The structural color is hopeful to realize ink-free printing, brings a revolution of color production, has advantages in the aspects of durability, high saturation, high brightness and the like, and can be widely applied to the fields of anti-counterfeiting, spinning, construction, high-density optical data storage, virtual reality interaction and the like. Because the color-forming mechanism of natural structural colors is very complex, although many scholars use the processing technology of surface microstructure to generate structural color single color, how to generate full color by micro-nano structure is still an unsolved problem. The existing research work can not reproduce all colors in a color gamut by adjusting micro-nano structural parameters to generate structural colors, the generation method of structural color primary colors is not systematically researched, a structural color prediction and reproduction model is not established, and the aim of generating full-color domain structural colors through primary color mixing is not realized. Aiming at the problems, a color modulation mechanism based on a multi-level micro-nano structure is necessary to develop a system research of a full-color domain structural color prediction and reproduction model and a solving algorithm thereof, and realize full-color domain color prediction and reproduction of any color and any tone. Disclosure of Invention In view of the above, the present application provides a full-color domain structural color prediction and reproduction method based on a multi-level micro-nano structure, which can accurately predict and reproduce any tone structural color. The application provides a full-color domain structure color prediction and reproduction method based on a multi-level micro-nano structure, which comprises the following steps: establishing a prediction model of the corresponding relation between the primary color proportion of the reference mixed structure color and the spectral reflectivity of the predicted color according to the K-M model; Obtaining a reverse model of the spectral reflectivity of the target color and the color primary ratio of the mixing mechanism by adopting an optimization algorithm according to the prediction model; according to the inverse model, obtaining the spectrum difference between the spectrum reflectivity of the target color and the spectrum reflectivity of the predicted color; and obtaining the optimal spectral reflectivity of the predicted color according to the spectral difference. Alternatively, the specific process of building the predictive model from the K-M model is according to a formula, K is the absorption coefficient of the structural color developing unit, S is the scattering coefficient of the structural color developing unit, and r is the spectral reflectance of the predicted color. Alternatively, the specific process of obtaining the inverse model is according to the formula, f(m)＝f(t)+Φc; Wherein the method comprises the steps ofPhi is the identity matrix of three primary colors, c= [ c 1,c2,c3]T ] is the proportional column vector of the structural color primary colors. Optionally, the spectrum difference is obtained by an interior point algorithm, an active set algorithm, a sequence quadratic programming algorithm, a genetic algorithm and a simulated annealing algorithm. Alternatively, the optimal spectral reflectance is obtained according to a formula, c=(DΦ)-1D(f(s)-f(t))。 According to the full-color domain structural color prediction and reproduction method based on the multi-level micro-nano structure, a multi-dimensional mapping relation between the primary color proportion of the structural color and the spectral reflectance of the predicted color is established, a structural color prediction forward model and a structural color matching prediction reverse model are established, and full-color domain color prediction and reproduction of any color and any tone are realized. Drawings The technical solution and other advantageous effects of the present application will be made apparent by the following detailed description of the specific embodiments of the present application with reference to the accompanying drawings. FIG. 1 is a three-dimensional schematic diagram of a multi-level micro-nano structure according to an embodiment of the present application; FIG. 2 is a schematic three-dimensional perspective view of frequency modulation of a structural color rendering unit according to an embodiment of the present application; FIG. 3 is a schematic diagram of a structural color rendering unit frequency modulation plane according