Optical image space is a three-dimensional space coordinate system. Each sample point of the system represents a spot. Light points of the image were defined by three quantities: light intensity, image concentration, and light. The distortion degree of the spot is very important for the identification and the distributed transmission of the optical image. Suitable optical image space can provide the accurate and abundant information.

In general, the distortion of light spot is a basic condition and essential feature of an object, which could be extracted accurately from the complex environment. At the same time, the distortion of the spot will seriously affect the accuracy and integrity of the image perception. The composition of the light spot is formed by mixing the three datums of the arc, the intensity, and the concentration. When the image was analyzed, the basic optical space must be based on the above three datums. The influence analysis of other optical reference spatial factors can generally use the formula from radians, strength, and concentration of conversion, such as nonlinear concentration curve of linear transformation and fiber index for conversion.

Figure 1 shows the change process of the light spot in two different states. The light spot of state 1 is mainly composed of four direction embedding. The light spot of state 2 is mainly embedded in eight directions. The diversity performance of the three baseline elements includes a spot of light in each direction. The square in Fig. 1 represents a direction image vector of the light spot. In the box, the black dot indicates the spot in the direction of the reference vector elements of diversity. Formula (1) solved the problem of light intensity LI_{spot} acquisition of light spot. The surface integral and nonlinear transformation of the spot image concentration IC_{spot} could be obtained by formula (2). Light curve LR_{spot} can be obtained by formula (3).

$$ \left\{\begin{array}{l}{\mathrm{LI}}_{\mathrm{spot}}=\frac{1}{D_1+{D}_2}\left(\alpha {\displaystyle \sum_{i=1}^4{\mathrm{LI}}_i+\beta {\displaystyle \sum_{j=1}^8{\mathrm{LI}}_j}}\right)\hfill \\ {}{\mathrm{LI}}_4=\sqrt{D_1}\hfill \\ {}{\mathrm{LI}}_8=\sqrt{D_2}\hfill \end{array}\right. $$

(1)

Formula (1) applies only to the two states of the light spot conversion shown in Fig. 1. Among them, *D*
_{1} represents the image data vector of spot 1. *D*
_{2} represents the image data vector of spot 2. *α* is the curved surface of light spot 1. *β* is the curved surface of the light spot 2. Of course, in general, the solution scheme can be extended to any light spot intensity analysis after changing the light diversity direction of the two points. We obtained the light intensity LI_{4} with four light samples from *D*
_{1}. We obtained the light intensity LI_{8} with eight light samples from *D*
_{2}.

$$ \left\{\begin{array}{l}{\mathrm{IC}}_{\mathrm{spot}}=\frac{1}{D_1+{D}_2}\left({\displaystyle {\iint}_{S_1}f\left({x}_1,{y}_1,{z}_1\right)d{S}_1}+{\displaystyle {\iint}_{S_2}f\left({x}_2,{y}_2,{z}_2\right)d{S}_2}\right)\hfill \\ {}S=\sqrt{\frac{x^2+{y}^2+{z}^2}{xyz}}\hfill \end{array}\right. $$

(2)

Here, *x*, *y*, and *z* are the three system coordinates of the spot in the three space systems. *S*
_{1} represents one of the areas of the spot. *S*
_{2} represents two of the areas of the spot. Area can be obtained by calculating *x*, *y*, and *z*.

$$ \left\{\begin{array}{l}{\mathrm{LR}}_{\mathrm{spot}}=\frac{\sqrt{H_1+{H}_2}}{{\left({H}_1{H}_2\right)}_{\min }}\\ {}H=\frac{1}{k}{\displaystyle \sum_{i=1}^k\left({\mathrm{LI}}_{\mathrm{spot}}(i)+{\mathrm{IC}}_{\mathrm{spot}}\left(i-1\right)\right)}\end{array}\right. $$

(3)

Here, *H* represents the 3D space of the interval optical image coordinate set. *k* represents the space occupied by the spot.

On the basis of formulas (1), (2), and (3), combined as formula (4), the optical image analysis of the color filter model can be obtained through the linear transformation of the curve.

$$ \left\{\begin{array}{l}\left[\begin{array}{c}\hfill R\hfill \\ {}\hfill G\hfill \\ {}\hfill B\hfill \end{array}\right]=\left[\begin{array}{c}\hfill {\mathrm{LI}}_{\mathrm{spot}}\hfill \\ {}\hfill {\mathrm{IC}}_{\mathrm{spot}}\hfill \\ {}\hfill {\mathrm{LR}}_{\mathrm{spot}}\hfill \end{array}\right]\left[\begin{array}{c}\hfill {D}_{\mathrm{R}}\hfill \\ {}\hfill {D}_{\mathrm{G}}\hfill \\ {}\hfill {D}_{\mathrm{B}}\hfill \end{array}\right]\hfill \\ {}{D}_{\mathrm{C}}={\displaystyle {\int}_{\lambda }f\left(\lambda \right)d\lambda}\hfill \end{array}\right. $$

(4)

Here, *D*
_{R} represents the red data vector. *D*
_{G} represents the green data vector. *D*
_{B} represents the blue data vector. The above parameters can be obtained by calculating *D*
_{C}.

On the basis of formulas (1), (2), and (3), combined as formula (5), the optical image analysis model can be obtained by using the nonlinear concentration of fiber refraction.

$$ \left\{\begin{array}{l}\left[\begin{array}{c}\hfill {\lambda}_x\hfill \\ {}\hfill {\lambda}_y\hfill \\ {}\hfill {\lambda}_z\hfill \end{array}\right]=\left[\begin{array}{c}\hfill {\mathrm{LI}}_{\mathrm{spot}}\hfill \\ {}\hfill {\mathrm{IC}}_{\mathrm{spot}}\hfill \\ {}\hfill {\mathrm{LR}}_{\mathrm{spot}}\hfill \end{array}\right]\left[\begin{array}{c}\hfill R{F}_x\hfill \\ {}\hfill R{F}_y\hfill \\ {}\hfill R{F}_z\hfill \end{array}\right]\hfill \\ {}R{F}_n={\displaystyle {\int}_{\lambda_n}f\left({\lambda}_n\right)d{\lambda}_n}\hfill \end{array}\right. $$

(5)

Here, RF is the optical fiber refractive index. *λ*
_{
x
} represents the *X* direction of the light wavelength. *λ*
_{
y
} represents the *Y* direction of the light wavelength. *λ*
_{
z
} represents the *Z* direction of the light wavelength.