Application and Deconstruction of Visual Communication in Art Design Based on Linear Operator Theory

With the continuous development of society, information transmission can be seen everywhere, and various forms of visual communication with artistic design such as posters, periodicals, and electronic screens appear one after another. Visual communication is the eective communication of information through various visual elements. Visual communication of art design can promote the exchange of information and promote the development and progress of society. However, in the process of visual communication of artistic design, there are many problems of unclear images such as halo and inconsistent brightness, which brings bad visual experience to the information receiver. e linear operator theory has the ability to transform parameters and generalize to nd the optimal solution, and the linear operator theory is applied to the visual communication of art design, which can eectively solve the problem of unclear images in traditional visual communication. is paper compares and analyzes the information entropy and mapping similarity between the visual communication of art design based on the linear operator theory and the traditional visual communication of art design by setting up an experimental group. e results showed that, among the four communication methods of art design visual communication, that is, gures, videos, animations, and movies, the mapping information entropy of art design visual communication based on linear operator theory in 6 dierent scenarios is 1.55 more than the traditional visual communication mode on average, and the average mapping similarity is 0.10 more. erefore, the visual communication of artistic design based on the linear operator theory can convey more information and more accurate information and improve the eect of visual communication.


Introduction
Visual communication is a way of information transmission. Initially, visual communication mainly conveyed information through newspapers and letters. Later, people were not satis ed with simple visual communication and added artistic design while communicating information. e paintings and sculptures that appeared could bring better visual impact, which make visual communication more artistic. With the rapid development of information technology, new media technology has been applied to visual communication of art design, and various electronic products such as gures and videos have made visual communication more and more convenient. In the information age, people are not satis ed with only accepting visual information and pay more attention to the quality of visual information. e visual communication brought by new media is relatively rough in the processing of many gures and videos. Although visual communication can be carried out in time, the e ect of visual communication is not good. Linear operator theory is a spatial mapping method that can e ectively improve image compression capability, image color continuity, and image clarity. Applying linear operator theory to visual communication of art design can improve the quality of visual communication. erefore, this paper has research signi cance. e transmission of visual information has an important impact on social production and life, and relevant personnel conduct research on visual communication of art design. Among them, Jaenichen research shows that the way of

Application of Linear Operator Theory in Visual Communication of Art Design
Visual communication is a way of public information dissemination. e early visual communication methods were mainly newspapers, books, and posters. Although information can be spread intuitively, the amount of information spread is small and cannot bring intuitive visual impact [11]. With the continuous development of new media technology,  visual communication uses new media as a medium, and  many artistic design elements are added to the way of visual  communication, mainly displayed in multimedia such as  figures, videos, and movies. e model of visual communication of art design is shown in Figure 1. However, in the process of visual communication of artistic design, there are many problems of poor image visual effect, and the linear operator theory can optimize the image through the color scale mapping, so as to make the visual effect of visual communication better.

New Mediatization of Visual Communication of Art Design.
ere are many forms of expression of art design. In the information age, new media is the most important way of expression of art design. In traditional forms of artistic expression, information is disseminated in the form of words, statues, paintings, etc., but information dissemination is very limited by space. New media technology makes art design no longer affected by factors such as region and flow of people through informatization [12].
Visual communication is to transmit information through vision. In the design process of visual communication, it is usually combined and transmitted in new forms such as text or figures. However, under the influence of new media technology, the design method of visual communication is constantly changing, adding information elements to make visual communication more rendering [13].

Humanized Communication.
e visual communication of art design ultimately wants traditional information to be seen by people. Traditional visual communication pays more attention to traditional content, only rigid input content, and ignores humanized communication. Humanized visual communication is also a form of artistic design.
Traditional visual communication cannot meet people's needs for visual information. Adding human factors to visual communication can improve people's sensitivity to visual information, which is conducive to the dissemination and reception of visual communication [15].

Diversified Communication.
e new mediatization of visual communication in art design has diversified the ways of visual communication, and the design of visual communication has also changed. Adding new media elements such as videos and moving figures in the process of visual communication can mobilize people's interest in visual communication information. People can easily obtain visual information from electronic screens such as mobile phones, computers, and TVs, so that visual information can be better disseminated [16]. Secondly, traditional visual communication relies on paper for communication, which wastes paper resources, affects the ecological environment, and spreads slowly. New media-based diversified visual communication is more conducive to saving resources and visual information dissemination.

Linear Operator
Model. An operator is a mapping relationship between two spaces, and a linear operator indicates that the mapping between two spaces is a linear relationship. In the process of visual communication of artistic design, linear operators are used to map image information to the screen, and information is conveyed through vision [17]. e use of linear operators can represent different image qualities. Let the brightness of the image at high dynamic time be L h and let the image compression operator be g(·), and then the image brightness at low dynamic time is expressed as (1) In formula (1), L d represents low dynamic image brightness.
In the process of converting a high dynamic image into a low dynamic image, let r be the degree of compression, and then the curve of the image change can be expressed as In formula (2), j ∈ v i , k represents the initial brightness of the image. e image change is transformed by the window v centered on the pixel i. By controlling the values of r and k, different degrees of linear operators can be realized; that is, different degrees of image compression transformation can be realized. Image transformation is mainly divided into two types in the degree of compression: When r > 1, the image can be displayed more clearly in areas with low color intensity. When 0 < r < 1, the image can be displayed more clearly in the area with higher chroma [18]. e different mapping effects of the linear operator in the process of image change are shown in Figure 3.
In  and the darker area on the right can better transmit the figure information. erefore, the linear operator can make the visual communication of artistic design more visually impactful.

Tone Mapping Algorithm.
e level mapping algorithm is to process the brightness and color of the image. ere is the process of mapping a high dynamic image to a low dynamic image through a linear operator, and each pixel in the high dynamic image needs to undergo color scale transformation, and then the cumulative result of the color scale of all pixels in the image is expressed as In formula (3), i represents the i-th pixel in the image. e process of mapping the high dynamic level of the image to the low dynamic is the process of solving the minimum value of formula (3). But when r takes 1 and k takes 0, L d � L h , there is a trivial solution to formula (3) in this case. erefore, the solution process of the minimum value cannot be directly carried out for formula (3), and some restrictive factors need to be added in the process of image change solution, so that there is an optimal solution for the transformation of high dynamic to low-dynamic images [19].
After adding the limiting factor, the formula (3) is transformed into In formula (4), A represents the constraint parameter A � 0.1, and B is the pixel contrast. e value of B is related to various factors of image change. e generic expression of B is In formula (5), c represents the standard deviation of the brightness of the high dynamic image, and d represents the mean value of the brightness of the high dynamic image.
After constraining the color scale mapping function, the optimal solution of the color scale transformation is obtained, and the optimal solution is expressed as In formula (6), r i ′ and k i ′ represent the optimal solution of the tone scale transformation, which is expressed in the form of a matrix. e transformation of formula (6) is solved to get e color scale mapping process based on linear operator is as follows: perform linear transformation on the image, which is divided into local linear transformation on the image. By processing the surrounding window function of each pixel and constraining the color level, the optimal linear transformation compression degree and compressed brightness are calculated. Until the transformed image is the image with the highest pixel, the level transformation process ends [20].

Experimental Data.
In order to analyze the application of linear operator theory in visual communication of art design, it is necessary to carry out a comparative experiment based on linear operator theory and traditional mode for different visual communication methods of art design [21]. To compare and analyze the ways of visual communication of art design, it is necessary to investigate the common ways of visual communication of art design. erefore, the experiment will randomly investigate 50 art and design visual communication workers by means of questionnaires to investigate the common visual presentation methods in the process of visual communication and the proportion of each visual communication method. e results of the visual communication method of the questionnaire are shown in Table 1.
In Table 1 Table 2.

Experimental Design.
e hardware conditions of the experimental environment in this paper are Inter core i7 processor, 8 GB memory, the software configuration is Win10 system, and the simulation environment used is VS 2010. e experiment will compare and analyze the visual communication of art design based on linear operator theory (visual communication A) and the traditional visual communication of art design (visual communication B) [23]. e art design visual communication based on the linear operator theory adopts the color scale mapping algorithm, while the traditional art design visual communication adopts the traditional mapping method. e experiment will compare the visual communication effects of art design in different scenarios in different visual communication methods. e evaluation indicators are mainly divided into two parts, that is, the information entropy and similarity of the mapping. e information entropy is the representation of the information amount of the image information. e larger the value of the information entropy is, the more information the mapped image covers. e similarity of the map represents how similar the mapped image is to the original image. e larger the similarity value, the higher the similarity with the original image [24]. Figure  Methods Figure 4.

Comparison Results of Visual Communication
In Figure 4, in terms of information entropy of mapping, the information entropy of visual communication of artistic design based on the color scale mapping algorithm is significantly more than that of traditional visual communication of artistic design. In terms of mapping similarity, the average mapping similarity of the two visual communication is 0.93 and 0.83, respectively. erefore, the visual communication of artistic design based on the color scale mapping algorithm covers more information, and the similarity of the mapping is higher [25].

Comparison Results of Video Methods for Visual Communication in Art Design.
e video presentation of visual communication of art design is the main way of new mediatization of visual communication. Compare the mapping video between the visual communication of artistic design based on the gradation mapping algorithm and the traditional visual communication of artistic design, and obtain the optimal video mapping solution (r i ′ , k i ′ ) under the chromatic mapping algorithm through the mapping transformation of formula (7). Compare the visual communication effects of different visual communication methods of video scenes. Figure 5 shows the comparison results of the two visual communication video methods of art design.
In Figure 5, the average mapping information entropy of the art design visual communication based on the color scale mapping algorithm and the traditional art design visual communication is 8.10 and 6.34, respectively. In terms of the similarity of mapping, the visual communication of art design based on the color scale mapping algorithm is also better than the traditional visual communication of art design. e average mapping similarity for the two visual communication is 0.89 and 0.83.    Figure 6.

Comparison Results of Visual Communication Motion
In Figure 6, the average mapping information entropy and average similarity of the visual communication of artistic design based on the tone-level mapping algorithm are 8.15 and 0.90, respectively. e average mapping information entropy and average similarity of traditional art design visual communication are 6.91 and 0.83, respectively. erefore, the visual communication of artistic design based on the color scale mapping algorithm depends on the traditional visual communication mode in the aspect of animation communication.

Comparison Results of Art and Design Visual Communication Film
Methods. Film is also the main body of visual communication art design, and the two kinds of art design visual communication methods are compared for different scenes of film mapping [27]. e comparison results of the two artistic design visual communication film methods are shown in Figure 7.

Conclusion
is paper compares the visual communication of art design based on linear operator theory and traditional visual communication in terms of figures, videos, animations, and films. By comparing the differences in the information entropy and similarity of the mapping between the two visual communications, the communication effect of the two visual communications is analyzed. e test results show that, in terms of image communication, the visual communication of artistic design based on the color scale mapping algorithm has an average of 2.11 more information entropy and an average of 0.10 more similarity than the traditional visual communication method. In the three aspects of video, animation, and film, the mapping information entropy and mapping similarity of visual communication of artistic design based on the color scale mapping algorithm are also better than those of the traditional visual communication mode. Applying the linear operator theory to the visual communication of art design can increase the amount of information conveyed, improve the accuracy of the information conveyed, and make the visual communication of art design have a better visual communication effect. However, the visual communication methods using the linear operator theory studied in this paper are limited, so the extension of the linear operator theory to the visual communication method of art design will be the direction of future research.

Data Availability
e data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest
e authors declare no conflicts of interest.